# Quiz 12: Thermal Properties of Matter

Physics & Astronomy

Q 1Q 1

As shown in the figure, a bimetallic strip, consisting of metal G on the top and metal H on the bottom, is rigidly attached to a wall at the left. The coefficient of linear thermal expansion for metal G is greater than that of metal H. If the strip is uniformly heated, it will
A)curve upward.
B)curve downward.
C)remain horizontal, but get longer.
D)remain horizontal, but get shorter.
E)bend in the middle.

Free

Multiple Choice

B

Q 2Q 2

Consider a flat steel plate with a hole through its center as shown in the figure. When the temperature of the plate is increased, the hole will
A)expand only if it takes up more than half the plate's surface area.
B)contract if it takes up less than half the plate's surface area.
C)always contract as the plate expands into it.
D)always expand with the plate.
E)remain the same size as the plate expands around it.

Free

Multiple Choice

D

Q 3Q 3

The coefficient of linear expansion for aluminum is 1.8 × 10

^{-6}K^{-1}. What is its coefficient of volume expansion? A)9.0 × 10^{-6}K^{-1}B)5.8 × 10^{-18}K^{-1}C)5.4 × 10^{-6}K^{-1}D)3.6 × 10^{-6}K^{-1}E)0.60 × 10^{-6}K^{-1}Free

Multiple Choice

C

Q 4Q 4

Two metal spheres are made of the same material and have the same diameter, but one is solid and the other is hollow. If their temperature is increased by the same amount,
A)the solid sphere becomes bigger than the hollow one.
B)the hollow sphere becomes bigger than the solid one.
C)the two spheres remain of equal size.
D)the solid sphere becomes denser and the hollow one less dense.
E)the solid sphere becomes less dense and the hollow one denser.

Free

Multiple Choice

Q 5Q 5

If you wanted to know how much the temperature of a particular piece of material would rise when a known amount of heat was added to it, which of the following quantities would be most helpful to know?
A)initial temperature
B)specific heat
C)density
D)coefficient of linear expansion
E)thermal conductivity

Free

Multiple Choice

Q 6Q 6

A thermally isolated system is made up of a hot piece of aluminum and a cold piece of copper, with the aluminum and the copper in thermal contact. The specific heat capacity of aluminum is more than double that of copper. Which object experiences the greater magnitude gain or loss of heat during the time the system takes to reach thermal equilibrium?
A)the aluminum
B)the copper
C)Neither one; both of them experience the same size gain or loss of heat.
D)It is impossible to tell without knowing the masses.
E)It is impossible to tell without knowing the volumes.

Free

Multiple Choice

Q 7Q 7

A thermally isolated system is made up of a hot piece of aluminum and a cold piece of copper, with the aluminum and the copper in thermal contact. The specific heat capacity of aluminum is more than double that of copper. Which object experiences the greater temperature change during the time the system takes to reach thermal equilibrium?
A)the copper
B)the aluminum
C)Neither one; both of them experience the same size temperature change.
D)It is impossible to tell without knowing the masses.
E)It is impossible to tell without knowing the volumes.

Free

Multiple Choice

Q 8Q 8

Which one of the following quantities is the smallest unit of heat energy?
A)calorie
B)kilocalorie
C)Btu
D)joule

Free

Multiple Choice

Q 9Q 9

Object 1 has three times the specific heat capacity and four times the mass of Object 2. The two objects are given the same amount of heat. If the temperature of Object 1 changes by an amount ΔT, the change in temperature of Object 2 will be
A)ΔT.
B) ΔT.
C) ΔT.
D)6ΔT.
E)12ΔT.

Free

Multiple Choice

Q 10Q 10

Object 1 has three times the specific heat capacity and four times the mass of Object 2. The two objects are heated from the same initial temperature, T

_{0}, to the same final temperature T_{f}. During this process, if Object 1 absorbs heat Q, the amount of heat absorbed by Object 2 will be A)12Q. B)6Q. C) Q. D) Q. E) Q.Free

Multiple Choice

Q 11Q 11

The figure shows a graph of the temperature of a pure substance as a function of time as heat is added to it at a constant rate in a closed container. If L

_{F}is the latent heat of fusion of this substance and L_{V}is its latent heat of vaporization, what is the value of the ratio L_{V}/L_{F}? A)5.0 B)4.5 C)7.2 D)3.5 E)1.5Free

Multiple Choice

Q 12Q 12

A solid cylindrical bar conducts heat at a rate of 25 W from a hot to a cold reservoir under steady state conditions. If both the length and the diameter of this bar are doubled, the rate at which it will conduct heat between these reservoirs will be
A)200 W
B)100 W
C)50 W
D)25 W
E)12.5 W

Free

Multiple Choice

Q 13Q 13

Two metal rods are to be used to conduct heat from a region at 100°C to a region at 0°C as shown in the figure. The rods can be placed in parallel, as shown on the left, or in series, as on the right. When steady state flow is established, the heat conducted in the series arrangement is
A)greater than the heat conducted with the rods in parallel.
B)the same as the heat conducted with the rods in parallel.
C)less than the heat conducted with the rods in parallel.

Free

Multiple Choice

Q 14Q 14

An architect is interested in estimating the rate of heat loss, ΔQ/Δt, through a sheet of insulating material as a function of the thickness of the sheet. Assuming fixed temperatures on the two faces of the sheet and steady state heat flow, which one of the graphs shown in the figure best represents the rate of heat transfer as a function of the thickness of the insulating sheet?
A)A
B)B
C)C
D)D
E)E

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Multiple Choice

Q 15Q 15

On a cold day, a piece of metal feels much colder to the touch than a piece of wood. This is due to the difference in which one of the following physical properties of these materials?
A)density
B)specific heat
C)emissivity
D)thermal conductivity
E)mass

Free

Multiple Choice

Q 16Q 16

If, with steady state heat flow established, you double the thickness of a wall built from solid uniform material, the rate of heat loss for a given temperature difference across the thickness will
A)become one-half its original value.
B)also double.
C)become one-fourth its original value.
D)become 1/ of its original value.
E)become four times its original value.

Free

Multiple Choice

Q 17Q 17

The process in which heat flows by the mass movement of molecules from one place to another is known as
A)conduction.
B)convection.
C)radiation.

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Multiple Choice

Q 18Q 18

An object having a fixed emissivity of 0.725 radiates heat at a rate of 10 W when it is at an absolute temperature T. If its temperature is doubled to 2T, at what rate will it now radiate?
A)20 W
B)40 W
C)80 W
D)160 W
E)320 W

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Multiple Choice

Q 19Q 19

If the absolute temperature of an object is tripled, the thermal power radiated by this object (assuming that its emissivity and size are not affected by the temperature change)will
A)increase by a factor of 3.
B)increase by a factor of 9.
C)increase by a factor of 18.
D)increase by a factor of 27.
E)increase by a factor of 81.

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Multiple Choice

Q 20Q 20

By what primary heat transfer mechanism does the sun warm the earth?
A)convection
B)conduction
C)radiation
D)All of the above processes are equally important in combination.

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Multiple Choice

Q 21Q 21

Two containers of equal volume each hold samples of the same ideal gas. Container A has twice as many molecules as container B. If the gas pressure is the same in the two containers, the correct statement regarding the absolute temperatures T

_{A}and T_{B}in containers A and B, respectively, is A)T_{A}= T_{B}. B)T_{A}= 2T_{B}. C)T_{A}= T_{B}. D)T_{A}= T_{B}. E)T_{A}= T_{B}.Free

Multiple Choice

Q 22Q 22

Consider two equal-volume flasks of gas at the same temperature and pressure. One gas, oxygen, has a molecular mass of 32. The other gas, nitrogen, has a molecular mass of 28. What is the ratio of the number of oxygen molecules to the number of nitrogen molecules in these flasks?
A)
B)
C)
D)
E)

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Multiple Choice

Q 23Q 23

An ideal gas is held in a container of volume V at pressure p. The rms speed of a gas molecule under these conditions is v. If now the volume and pressure are changed to 2V and 2p, the rms speed of a molecule will be
A)v/2
B)v
C)2v
D)4v
E)v/4

Free

Multiple Choice

Q 24Q 24

A mole of diatomic oxygen molecules and a mole of diatomic nitrogen molecules are at STP. Which statements are true about these molecules? (There could be more than one correct choice.)
A)Both gases have the same average molecular speeds.
B)Both gases have the same number of molecules.
C)Both gases have the same average kinetic energy per molecule.
D)Both gases have the same average momentum per molecule.

Free

Multiple Choice

Q 25Q 25

The root-mean-square speed of the molecules of an ideal gas is v. The gas is now slowly compressed to one-half its original volume with no change in temperature. What is the root-mean-square speed of the molecules now?
A)4v
B)2v
C)v/
D)v
E)v/2

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Multiple Choice

Q 26Q 26

A sample of an ideal gas is heated and its Kelvin temperature doubles. If the root-mean-square speed of its molecules was originally v, what is the new root-mean-square speed?
A)4v
B)2v
C)v
D)v/
E)v/4

Free

Multiple Choice

Q 27Q 27

The absolute temperature of an ideal gas is directly proportional to which of the following quantities?
A)the average speed of its molecules
B)the average momentum of its molecules
C)the average kinetic energy of its molecules
D)the mass of its molecules
E)It is proportional to all of the above quantities.

Free

Multiple Choice

Q 28Q 28

The absolute temperature of a gas is T. In order to double the rms speed of its molecules, what should be the new absolute temperature?
A)4T
B)2T
C)T
D)8T
E)16T

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Multiple Choice

Q 29Q 29

Oxygen molecules are 16 times more massive than hydrogen molecules. At a given temperature, the average molecular kinetic energy of oxygen molecules, compared to that of hydrogen molecules,
A)is greater.
B)is less.
C)is the same.
D)cannot be determined without knowing the pressure and volume.

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Multiple Choice

Q 30Q 30

Oxygen molecules are 16 times more massive than hydrogen molecules. At a given temperature, how do their average molecular speeds compare? The oxygen molecules are moving
A)four times faster than the hydrogen molecules.
B)at 1/4 the speed of the hydrogen molecules.
C)sixteen times faster than the hydrogen molecules.
D)at 1/16 the speed of the hydrogen molecules.
E)at 1/ the speed of the hydrogen molecules.

Free

Multiple Choice

Q 31Q 31

A fixed container holds oxygen and helium gases at the same temperature. Which of the following statements are correct? (There could be more than one correct choice.)
A)The oxygen molecules have the greater average kinetic energy.
B)The helium molecules have the greater average kinetic energy.
C)The oxygen molecules have the greater speed.
D)The helium molecules have the greater speed.
E)The helium molecules have the same average kinetic as the oxygen molecules.

Free

Multiple Choice

Q 32Q 32

For an ideal gas,
A)C

_{P}= C_{V}for all ideal gases. B)C_{P}> C_{V}for all ideal gases. C)C_{P}< C_{V}for all ideal gases. D)it depends on whether the gas is monatomic or diatomic.Free

Multiple Choice

Q 33Q 33

For an ideal gas,
A) = 1 for all ideal gases.
B) < 1 for all monatomic and diatomic gases.
C) > 1 for all monatomic and diatomic gases.
D) < 1 only for a monatomic gas.
E) < 1 only for a diatomic gas.

Free

Multiple Choice

Q 34Q 34

A certain ideal gas has a molar specific heat at constant volume 7R/2. What is its molar specific heat at constant pressure?
A)5R/2
B)3R/2
C)8R
D)9R/2
E)6R

Free

Multiple Choice

Q 35Q 35

A certain ideal gas has a molar specific heat at constant pressure of 7R/2. What is its molar specific heat at constant volume?
A)5R/2
B)3R/2
C)8R
D)9R/2
E)6R

Free

Multiple Choice

Q 36Q 36

A certain ideal gas has a molar specific heat at constant pressure of 33.2 J/mol ∙ K. Its molar specific heat at constant volume is closest to which of the following values? (R = 8.31J/mol ∙ K)
A)41.9 J/mol ∙ K
B)16.6 J/mol ∙ K
C)25.1 J/mol ∙ K
D)24.9 J/mol ∙ K
E)49.8 J/mol ∙ K

Free

Multiple Choice

Q 37Q 37

When a gas expands adiabatically,
A)the internal (thermal)energy of the gas decreases.
B)the internal (thermal)energy of the gas increases.
C)it does no work.
D)work is done on the gas.
E)the temperature of the gas remains constant.

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Multiple Choice

Q 38Q 38

An ideal gas is compressed isothermally to one-third of its initial volume. The resulting pressure will be
A)three times as large as the initial value.
B)less than three times as large as the initial value.
C)more than three times as large as the initial value.
D)equal to the initial value.
E)impossible to predict on the basis of this data.

Free

Multiple Choice

Q 39Q 39

An ideal gas is compressed isobarically to one-third of its initial volume. The resulting pressure will be
A)three times as large as the initial value.
B)equal to the initial value.
C)more than three times as large as the initial value.
D)impossible to predict on the basis of this data.

Free

Multiple Choice

Q 40Q 40

In a given reversible process, the temperature of an ideal gas is kept constant as the gas is compressed to a smaller volume. Which one of the following statements about the gas is correct?
A)The gas must absorb heat from its surroundings.
B)The gas must release heat to its surroundings.
C)The pressure of the gas also stays constant.
D)The process is adiabatic.
E)It is impossible to predict on the basis of this data.

Free

Multiple Choice

Q 41Q 41

The process shown on the TV graph in the figure is an
A)adiabatic compression.
B)isothermal compression.
C)isochoric compression.
D)isobaric compression.

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Multiple Choice

Q 42Q 42

The process shown on the pV diagram in the figure is an
A)adiabatic expansion.
B)isothermal expansion.
C)isometric expansion.
D)isobaric expansion.

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Multiple Choice

Q 43Q 43

The process shown on the pV diagram in the figure is
A)adiabatic.
B)isothermal.
C)isochoric.
D)isobaric.

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Multiple Choice

Q 44Q 44

Two processes are shown on the pV diagram in the figure. One of them is an adiabat and the other one is an isotherm. Which process is the isotherm?
A)process A
B)process B
C)The processes shown are neither isotherms nor adiabats.
D)It is not possible to tell without knowing if the gas is monatomic or diatomic.

Free

Multiple Choice

Q 45Q 45

A gas is taken through the cycle shown in the pV diagram in the figure. During one cycle, how much work is done by the gas?
A)p

_{0}V_{0}B)2 p_{0}V_{0}C)3 p_{0}V_{0}D)4 p_{0}V_{0}Free

Multiple Choice

Q 46Q 46

The coefficient of linear expansion of steel is 12 × 10

^{-6}K^{-1}. What is the change in length of a 25-m steel bridge span when it undergoes a temperature change of 40 K from winter to summer? A)1.2 cm B)1.4 cm C)1.6 cm D)1.8 cm E)2.0 cmFree

Multiple Choice

Q 47Q 47

A steel bridge is 1000 m long at -20°C in winter. What is the change in length when the temperature rises to 40°C in summer? The average coefficient of linear expansion of this steel is 11 × 10

^{-6}K^{-1}. A)0.33 m B)0.44 m C)0.55 m D)0.66 mFree

Multiple Choice

Q 48Q 48

An aluminum rod 17.400 cm long at 20°C is heated to 100°C. What is its new length? Aluminum has a linear expansion coefficient of 25 × 10

^{-6}K^{-1}. A)17.435 cm B)17.365 cm C)0.348 cm D)0.0348 cmFree

Multiple Choice

Q 49Q 49

By what length will a slab of concrete that is originally 18 m long contract when the temperature drops from 24°C to -16°C? The coefficient of linear thermal expansion for this concrete is 1.0 × 10

^{-5}K^{-1}. A)0.50 cm B)0.72 cm C)1.2 cm D)1.5 cmFree

Multiple Choice

Q 50Q 50

A hole in a brass plate has a diameter of 1.200 cm at 20°C. What is the diameter of the hole when the plate is heated to 220°C? The coefficient of linear thermal expansion for brass is 19 × 10

^{-6}K^{-1}. A)1.205 cm B)1.195 cm C)1.200 cm D)1.210 cmFree

Multiple Choice

Q 51Q 51

A quantity of mercury occupies 400.0 cm

^{3}at 0°C. What volume will it occupy when heated to 50°C? Mercury has a volume expansion coefficient of 180 × 10^{-6}K^{-1}. A)450 cm^{3}B)409.7 cm^{3}C)403.6 cm^{3}D)401.8 cm^{3}Free

Multiple Choice

Q 52Q 52

A large vat contains 1.000 L of water at 20°C. What volume will this water occupy when it is heated up to 80°C? Water has a volume expansion coefficient of 210 × 10

^{-6}K^{-1}. A)1.600 L B)1.013 L C)0.987 L D)0.9987 LFree

Multiple Choice

Q 53Q 53

The volume coefficient of thermal expansion for gasoline is 950 × 10

^{-6}K^{-1}. By how many cubic centimeters does the volume of 1.00 L of gasoline change when the temperature rises from 30°C to 50°C? A)6.0 cm^{3}B)12 cm^{3}C)19 cm^{3}D)37 cm^{3}Free

Multiple Choice

Q 54Q 54

For the mercury in a thermometer to expand from 4.00 cm

^{3}to 4.10 cm^{3}, what change in temperature is necessary? The mercury has a volume expansion coefficient of 1.80 × 10^{-4}K^{-1}. A)400 C° B)140 C° C)14 C° D)8.2 C°Free

Multiple Choice

Q 55Q 55

A mercury thermometer has a glass bulb of interior volume 0.100 cm

^{3}at 10°C. The glass capillary tube above the bulb has an inner cross-sectional area of 0.012 mm^{2}. The coefficient of volume expansion of mercury is 1.8 × 10^{-4}K^{-1}. If the expansion of the glass is negligible, how much will the mercury rise in the capillary tube when the temperature rises from 5°C to 35°C if the bulb was full at 5°C? A)0.45 mm B)4.5 mm C)45 mm D)45 cmFree

Multiple Choice

Q 56Q 56

The coefficient of linear expansion of copper is 17 × 10

^{-6}K^{-1}. A sheet of copper has a round hole with a radius of 3.0 m cut out of it. If the sheet is heated and undergoes a change in temperature of 80 K, what is the change in the radius of the hole? A)It decreases by 4.1 mm. B)It increases by 4.1 mm. C)It decreases by 8.2 mm. D)It increases by 8.2 mm. E)It does not change.Free

Multiple Choice

Q 57Q 57

Suppose that a rigid aluminum wire were to be strung out in a loop that just fits snugly around the equator (assuming a perfectly spherical Earth with a radius of 6.37 × 10

^{6}m). If the temperature of the wire is increased by 0.50°C, and the increase in length is distributed equally over the entire length, how far off the ground will the wire loop be if it remained centered on the earth? The coefficient of linear expansion of aluminum is 24 × 10^{-6}K^{-1}. A)7.6 mm B)76 mm C)76 cm D)76 m E)760 mFree

Multiple Choice

Q 58Q 58

The coefficient of linear expansion of copper is 17 × 10

^{-6}K^{-1}. A block of copper 30 cm wide, 45 cm long, and 10 cm thick is heated from 0°C to 100°C What is the change in the volume of the block? A)2.3 × 10^{-5}m^{3}B)4.6 × 10^{-5}m^{3}C)5.2 × 10^{-5}m^{3}D)6.9 × 10^{-5}m^{3}E)14 × 10^{-5}m^{3}Free

Multiple Choice

Q 59Q 59

The coefficient of linear expansion of aluminum is 24 × 10

^{-6}K^{-1}and the coefficient of volume expansion of olive oil is 0.68 × 10^{-3}K^{-1}. A novice cook, in preparation of some pesto, fills a 1.00-L aluminum pot to the brim and heats the oil and the pot from an initial temperature of 15°C to 190°C. To his consternation some olive oil spills over the top. How much? A)0.11 L B)0.12 L C)0.13 L D)0.14 L E)0.15 LFree

Multiple Choice

Q 60Q 60

The coefficient of volume expansion of a certain olive oil is 0.68 × 10

^{-3}K^{-1}. A 1.0-L glass beaker is filled to the brim with olive oil at room temperature. The beaker is placed on a range and the temperature of the oil and beaker increases by 25 C°. As a result, 0.0167 L of olive oil spills over the top of the beaker. Which of the following values is closest to the coefficient of linear expansion of the glass from which the beaker is made? A)1 × 10^{-6}K^{-1}B)4 × 10^{-6}K^{-1}C)1 × 10^{-5}K^{-1}D)2 × 10^{-5}K^{-1}E)3 × 10^{-5}K^{-1}Free

Multiple Choice

Q 61Q 61

The coefficient of linear expansion of aluminum is 24.0 × 10

^{-6}K^{-1}, and the density of aluminum at 0°C is 2.70 × 10^{3}kg/m^{3}. What is the density of aluminum at 300°C? A)3.93 × 10^{3}kg/m^{3}B)2.73 × 10^{3}kg/m^{3}C)2.70 × 10^{3}kg/m^{3}D)2.67 × 10^{3}kg/m^{3}E)2.64 × 10^{3}kg/m^{3}Free

Multiple Choice

Q 62Q 62

The density of water at 0°C is 999.84 kg/m

^{3}and at 4°C it is 999.96 kg/m^{3}. A 1.0-L container, full to the brim with water at 4.0°C is placed in the refrigerator. By the time that the temperature of the water reaches 0.0°C, what volume of water has spilled from the container, assuming that the contraction of the container is negligible? A)1.1 × 10^{-7}m^{3}B)1.2 × 10^{-7}m^{3}C)1.3 × 10^{-7}m^{3}D)1.4 × 10^{-7}m^{3}E)1.5 × 10^{-7}m^{3}Free

Multiple Choice

Q 63Q 63

The coefficient of linear expansion of copper is 17 × 10

^{-}^{6}K^{-1 }and that of steel is 12 × 10^{-6}K^{-1}. At 12°C a steel rod has a diameter of 2.540 cm and a copper pipe has a diameter of 2.536 cm. Which one of the following quantities is closest to the temperature to which the copper pipe must be heated in order for the unheated steel rod to fit snugly in the copper pipe? A)53°C B)81°C C)93°C D)105°C E)143°CFree

Multiple Choice

Q 64Q 64

The coefficient of linear expansion of copper is 17 × 10

^{-6}K^{-1}and that of steel is 12 × 10^{-6}K^{-1}. At 12°C a steel rod has a diameter of 2.540 cm and a copper pipe has a diameter of 2.536 cm. If they are heated together to a higher temperature, which one of the following quantities is closest to the common temperature at which the steel rod will fit snugly in the copper pipe? A)310°C B)330°C C)340°C D)350°C E)380°CFree

Multiple Choice

Q 65Q 65

A steel pipe 36.0 m long, installed when the temperature was is used to transport superheated steam at a temperature of Steel's coefficient of linear expansion is . The pipe is allowed to expand freely when the steam is transported. What is the increase in the length of the pipe when it is used with the superheated steam?
A)60 mm
B)57 mm
C)54 mm
D)64 mm
E)67 mm

Free

Multiple Choice

Q 66Q 66

An aluminum rod is 10.0 cm long and a steel rod is 80.0 cm long when both rods are at a temperature of 15°C. Both rods have the same diameter. The rods are now joined end-to-end to form a rod 90.0 cm long. If the temperature is now raised from 15°C to 90°C, what is the increase in the length of the joined rod? The coefficient of linear expansion of aluminum is 2.4 × 10

^{-5}K^{-1}and that of steel is 1.2 × 10^{-5}K^{-1}. A)0.90 mm B)0.81 mm C)0.72 mm D)0.63 mm E)0.99 mmFree

Multiple Choice

Q 67Q 67

A brass rod is 69.5 cm long and an aluminum rod is 49.3 cm long when both rods are at an initial temperature of 0° C. The rods are placed in line with a gap of 1.2 cm between them, as shown in the figure. The distance between the far ends of the rods is maintained at 120.0 cm throughout. The temperature of both rods is raised equally until they are barely in contact. At what temperature does contact occur? The coefficients of linear expansion of brass and aluminum are 2.0 ×10

^{-5}K^{-1}(brass)and 2.4 × 10^{-5}K^{-1}(aluminum). A)470°C B)440°C C)420°C D)490°C E)510°CFree

Multiple Choice

Q 68Q 68

A glass flask has a volume of 500 mL at a temperature of 20° C. The flask contains 492 mL of mercury at an equilibrium temperature of 20°C. The temperature is raised until the mercury reaches the 500 mL reference mark. At what temperature does this occur? The coefficients of volume expansion of mercury and glass are 18 ×10

^{-5}K^{-1}(mercury)and 2.0 ×10^{-5}K^{-1}(glass). A)120°C B)110°C C)100°C D)140°C E)130°CFree

Multiple Choice

Q 69Q 69

A solid object has a volume density ρ

_{0}at a temperature of 315 K. The coefficient of volume expansion for the material of which it is made is 7.00 × 10^{-5}K^{-1}. What will be its density (in terms of ρ_{0}at a temperature of 425 K, assuming that it does not melt and that its thermal properties do not change with temperature?Free

Essay

Q 70Q 70

How much heat is required to raise the temperature of a 225-g lead ball from 15.0°C to 25.0°C? The specific heat of lead is 128 J/kg ∙ K.
A)725 J
B)576 J
C)145 J
D)217 J
E)288 J

Free

Multiple Choice

Q 71Q 71

A 4.0-kg aluminum block is originally at 10°C. If 160 kJ of heat is added to the block, what is its final temperature? The specific heat capacity of aluminum is 910 J/kg ∙ K.
A)24°C
B)34°C
C)44°C
D)54°C

Free

Multiple Choice

Q 72Q 72

If 150 kcal of heat raises the temperature of 2.0 kg of a material by 400 F°, what is the specific heat capacity of the material?
A)1.35 kcal/kg ∙ C°
B)0.75 kcal/kg ∙ C°
C)0.34 kcal/kg ∙ C°
D)0.19 kcal/kg ∙ C°

Free

Multiple Choice

Q 73Q 73

A machine part consists of 0.10 kg of iron (of specific heat 470 J/kg ∙ K )and 0.16 kg of copper (of specific heat 390 J/kg ∙ K). How much heat must be added to the gear to raise its temperature from 18°C to 53°C?
A)910 J
B)3800 J
C)4000 J
D)4400 J

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Multiple Choice

Q 74Q 74

An aluminum electric tea kettle with a mass of 500 g is heated with a 500-W heating coil. How long will it take to heat up 1.0 kg of water from 18°C to 98°C in the tea kettle? The specific heat of aluminum is 900 J/kg ∙ K and that of water is 4186 J/kg ∙ K.
A)5.0 minutes
B)7.0 minutes
C)12 minutes
D)15 minutes
E)18 minutes

Free

Multiple Choice

Q 75Q 75

A carpenter is driving a 15.0-g steel nail into a board. His 1.00-kg hammer is moving at 8.50 m/s when it strikes the nail. Half of the kinetic energy of the hammer is transformed into heat in the nail and does not flow out of the nail. What is the increase in temperature of the nail after the three blows that the carpenter needs to drive the nail in completely? The specific heat of steel is 448 J/kg ∙ K.
A)8.1 K
B)3.6 K
C)1.8 K
D)2.7 K
E)7.7 K

Free

Multiple Choice

Q 76Q 76

A 5.00-g lead BB moving at 44.0 m/s penetrates a wood block and comes to rest inside the block. If half of its kinetic energy is absorbed by the BB, what is the change in the temperature of the BB? The specific heat of lead is 128 J/kg ∙ K.
A)0.940 K
B)1.10 K
C)1.26 K
D)2.78 K
E)3.78 K

Free

Multiple Choice

Q 77Q 77

It is necessary to determine the specific heat of an unknown object. The mass of the object is It is determined experimentally that it takes to raise the temperature What is the specific heat of the object?
A)7.46 J/kg ∙ K
B)1500 J/kg ∙ K
C)0.00130 J/kg ∙ K
D)3,020,000 J/kg ∙ K

Free

Multiple Choice

Q 78Q 78

A 920-g empty iron kettle is put on a stove. How much heat in joules must it absorb to raise its temperature form to The specific heat for iron is 113 cal/kg ∙ C°, and 1 cal = 4.186 J.
A)33,900 J
B)40,500 J
C)8110 J
D)40,100 J

Free

Multiple Choice

Q 79Q 79

A container of 114.0 g of water is heated using of power, with perfect efficiency. How long will it take to raise the temperature of the water from to The specific heat capacity of the container is negligible, and the specific heat capacity of water is 4.186 × 10

^{3}J/kg ∙ C. A)71 s B)4.1 s C)17 s D)320,000 sFree

Multiple Choice

Q 80Q 80

A 6.5-g iron meteor hits the earth at a speed of 295 m/s. If its kinetic energy is entirely converted to heat in the meteor, by how much will its temperature rise? The specific heat of iron is 113 cal/kg ∙ C°, and 1 cal = 4.186 J.
A)92.0 C°
B)57,100 C°
C)0.147 C°
D)384 C°

Free

Multiple Choice

Q 81Q 81

A glass beaker of unknown mass contains of water. The system absorbs of heat and the temperature rises as a result. What is the mass of the beaker? The specific heat of glass is 0.18 cal/g ∙ °C, and that of water is 1.0 cal/g ∙ C°.
A)140 g
B)560 g
C)540 g
D)270,000 g

Free

Multiple Choice

Q 82Q 82

On his honeymoon, James Joule attempted to explore the relationships between various forms of energy by measuring the rise of temperature of water which had fallen down a waterfall on Mount Blanc. What maximum temperature rise would one expect for a waterfall with a vertical drop of 20 m? The specific heat of water is 4186 J/kg ∙ K.
A)0.047 C°
B)0.053 C°
C)0.064 C°
D)0.071 C°

Free

Multiple Choice

Q 83Q 83

The water flowing over Niagara Falls drops a distance of 50 m. If all the gravitational potential energy is converted to thermal energy, by what temperature does the water rise? The specific heat of water is 4186 J/kg ∙ K.
A)0.10 C°
B)0.12 C°
C)0.37 C°
D)0.42 C°

Free

Multiple Choice

Q 84Q 84

In a flask, 114.0 g of water is heated using of power, with perfect efficiency. How long will it take to raise the temperature of the water from to The specific heat of water is 4186 J/kg ∙ K.
A)71 s
B)4.1 s
C)17 s
D)320,000 s

Free

Multiple Choice

Q 85Q 85

A 200-L electric water heater uses 2.0 kW. Assuming no heat loss, how many hours would it take to heat the water in this tank from 23°C to 75°C? The specific heat of water is 4186 J/kg ∙ K and its density is 1000 kg/m

^{3}. A)5.0. hours B)6.0 hours C)7.0 hours D)8.0 hoursFree

Multiple Choice

Q 86Q 86

In grinding a steel knife, the metal can get as hot as 400°C. If the blade has a mass of 80 g, what is the minimum amount of water needed at 20°C if the water is to remain liquid and not rise above 100°C when the hot blade is quenched in it? The specific heat of the steel is 0.11 cal/g ∙ C° and the specific heat of water is 1.0 cal/g ∙ C°.
A)22 g
B)33 g
C)44 g
D)55 g

Free

Multiple Choice

Q 87Q 87

How much heat must be removed from 456 g of water at 25.0°C to change it into ice at -10.0°C? The specific heat of ice is 2090 J/kg ∙ K, the latent heat of fusion of water is 33.5 × 10

^{4}J/kg, and the specific heat of water is 4186 J/kg ∙ K. A)105 kJ B)153 kJ C)57.3 kJ D)47.7 kJ E)210 kJFree

Multiple Choice

Q 88Q 88

A runner generates 1260 W of thermal energy. If this heat has to be removed only by evaporation, how much water does this runner lose in 15 minutes of running? The latent heat of vaporization of water is 22.6 × 10

^{5}J/kg. A)50 g B)500 g C)35 g D)350 g E)40 gFree

Multiple Choice

Q 89Q 89

If you add 700 kJ of heat to 700 g of water originally at 70.0°C, how much water is left in the container? The latent heat of vaporization of water is 22.6 × J/kg, and its specific heat capacity is 4186 J/kg ∙ K.
A)429 g
B)258 g
C)340 g
D)600 g
E)none

Free

Multiple Choice

Q 90Q 90

If you add 1.33 MJ of heat to 500 g of water at 50°C in a sealed container, what is the final temperature of the steam? The latent heat of vaporization of water is 22.6 × 10

^{5}J/kg, the specific heat of steam is 2010 J/kg ∙ K, and the specific heat of water is 4186 J/kg ∙ K. A)100°C B)112°C C)123°C D)147°C E)195°CFree

Multiple Choice

Q 91Q 91

A 2294-kg sample of water at 0° C is cooled to and freezes in the process. How much heat is liberated? For water L

_{F}= 334,000 J/kg and L_{V }= 2.256 × 10^{6}J/kg. The specific heat of ice is 2050 J/kg ∙ K. A)935,000 kJ B)597,000 kJ C)1,110,000 kJ D)334,000 kJFree

Multiple Choice

Q 92Q 92

The melting point of aluminum is 660°C, its latent heat of fusion is 4.00 × 10

^{5}J/kg, and its specific heat is 900J/kg ∙ K. How much heat must be added to 500 g of aluminum originally at 27°C to completely melt it? A)485 kJ B)395 kJ C)273 kJ D)147 kJ E)14 kJFree

Multiple Choice

Q 93Q 93

A metal has a latent heat of fusion of 2.32 × 10

^{4}J/kg, a specific heat of 128 J/kg ∙ K, and a melting point of 228°C. A 30-g pellet of this metal at 16°C hits a solid wall and comes to a complete stop. What would the speed of the pellet have to be in order for it to melt completely when it hits the wall, assuming that all of its kinetic energy is transformed into heat within the pellet? A)207 m/s B)215 m/s C)232 m/s D)273 m/s E)317 m/sFree

Multiple Choice

Q 94Q 94

Solar houses use a variety of energy storage devices to retain the heat absorbed during the day so that it can be released during the night. Suppose that you were to use a device of this kind to produce steam at 100°C during the day, and then allow the steam to cool to 0°C and freeze during the night. How many kilograms of water would be needed to store 20.0 kWh of energy in this way? The latent heat of vaporization of water is 22.6 × 10

^{5}J/kg, the latent heat of fusion of water is 33.5 × 10^{4}J/kg, and the specific heat capacity of water is 4186 J/kg ∙ K. A)12.4 kg B)23.9 kg C)35.7 kg D)42.6 kg E)54.2 kgFree

Multiple Choice

Q 95Q 95

A beaker of negligible heat capacity contains 456 g of ice at -25.0°C. A lab technician begins to supply heat to the container at the rate of 1000 J/min. How long after starting will the ice begin to melt, assuming all of the ice has the same temperature? The specific heat of ice is 2090 J/kg ∙ K and the latent heat of fusion of water is 33.5 × 10

^{4}J/kg.Free

Essay

Q 96Q 96

A beaker of negligible heat capacity contains 456 g of ice at -25.0°C. A lab technician begins to supply heat to the container at the rate of 1000 J/min. How long after starting will it take before the temperature starts to rise above 0°C? The specific heat of ice is 2090 J/kg ∙ K and the latent heat of fusion of water is 33.5 × 10

^{4}J/kg.Free

Essay

Q 97Q 97

The melting point of aluminum is 660°C, its latent heat of fusion is 4.00 × 10

^{5}J/kg, and its specific heat is 900 J/kg ∙ K. If 300 kJ of heat are added to 442 g of aluminum at 100°C, what is the final state of the system? That is, how much is liquid, how much is solid, and what is its temperature?Free

Essay

Q 98Q 98

A 45.0-kg sample of ice is at 0.00° C. How much heat is needed to melt it? For water L

_{F}= 334,000 J/kg and L_{V}= 2.256 × 10^{6}J/kg. A)1.50 × 10^{4}_{ kJ}B)4.10 × 10^{6}_{ kJ}C)0.00 kJ D)1.02 × 10^{5}_{ kJ}Free

Multiple Choice

Q 99Q 99

Heat is added to a 3.0 kg piece of ice at a rate of How long will it take for the ice at 0.0° C to melt? For water L

_{F}= 334,000 J/kg and L_{V}= 2.246 × 10^{6}J/kg. A)1.6 s B)640,000 s C)0.0 s D)1000 sFree

Multiple Choice

Q 100Q 100

A .20-kg ice cube at 0.0°C has sufficient heat added to it to cause total melting, and the resulting water is heated to How much heat is added? For water L

_{F}= 334,000 J/kg, L_{V}= 2.256 × 10^{6}J/kg, the c = 4.186 x 10^{3}J/kg ∙ C. A)130 kJ B)14,000 kJ C)81 kJ D)59 kJFree

Multiple Choice

Q 101Q 101

How much heat must be added to a 8.0-kg block of ice at -8°C to change it to water at The specific heat of ice is 2050 J/kg ∙ C°, the specific heat of water is 4186 J/kg ∙ C°, the latent heat of fusion of ice is 334,000 J/kg, and 1 cal = 4.186 J.
A)780 kcal
B)140 kcal
C)180 kcal
D)810 kcal
E)730 kcal

Free

Multiple Choice

Q 102Q 102

When a sample of water at 0.0°C is cooled to -36.0°C and freezes in the process, 935,000 kJ of heat is liberated. What is the mass of this sample of water? For water L

_{F}= 334,000 J/kg, L_{V}= 2.256 × 10^{6}J/kg, and the specific heat of ice is 2050 J/kg ∙ C°. A)2290 kg B)1145 kg C)2800 kg D)12,700 kgFree

Multiple Choice

Q 103Q 103

A 771.0-kg copper bar is put into a smelter for melting. The initial temperature of the copper is 300.0 K. How much heat must the smelter produce to completely melt the copper bar? The specific heat for copper is 386 J/kg∙K, the heat of fusion for copper is 205,000 J/kg, and its melting point is 1357 K.
A)4.73 × 10

^{5}_{ kJ}B)3.15 × 10^{11}_{ kJ}C)3.15 × 10^{8}_{ kJ}D)5.62 × 10^{5}_{ kJ}Free

Multiple Choice

Q 104Q 104

A substance has a melting point of 20°C and a heat of fusion of 3.4 × J/kg. The boiling point is and the heat of vaporization is at a pressure of one atmosphere. The specific heats for the solid, liquid, and gaseous phases are 600 J/kg ∙ K (solid), 1000 J/kg ∙ K (liquid), and 400 J/kg ∙ K (gaseous). How much heat is required to raise the temperature of of this substance from to at a pressure of one atmosphere?
A)260 kJ
B)190 kJ
C)230 kJ
D)92 kJ
E)320 kJ

Free

Multiple Choice

Q 105Q 105

A substance has a melting point of 20°C and a heat of fusion of The boiling point is and the heat of vaporization is at a pressure of one atmosphere. The specific heats for the solid, liquid, and gaseous phases are 600 J/kg ∙ K (solid), 1000 J/kg ∙ K (liquid), and 400 J/kg ∙ K (gaseous). How much heat is given up by of this substance when it is cooled from 170°C to 86°C at a pressure of one atmosphere?
A)400 kJ
B)200 kJ
C)300 kJ
D)440 kJ
E)640 kJ

Free

Multiple Choice

Q 106Q 106

A person tries to heat up her bath water by adding 5.0 L of water at 80°C to 60 L of water at 30°C. What is the final temperature of the bath water?
A)34°C
B)36°C
C)38°C
D)40°C

Free

Multiple Choice

Q 107Q 107

If 50 g of lead (of specific heat 0.11 kcal/kg ∙ C°)at 100°C is put into 75 g of water (of specific heat 1.0 kcal/kg ∙ C°)at 0°C. What is the final temperature of the mixture?
A)2.0°C
B)6.8°C
C)25°C
D)50°C

Free

Multiple Choice

Q 108Q 108

A lab assistant pours 330 g of water at 45°C into an 855-g aluminum container that is at an initial temperature of 10°C. The specific heat of aluminum is and that of water is 4186 J/kg ∙ K. What is the final temperature of the system, assuming no heat is exchanged with the surroundings?
A)28°C
B)32°C
C)31°C
D)33°C
E)35°C

Free

Multiple Choice

Q 109Q 109

A 90-g aluminum calorimeter contains 390 g of water at an equilibrium temperature of A piece of metal, initially at is added to the calorimeter. The final temperature at equilibrium is 32° C. Assume there is no external heat exchange. The specific heat capacities of aluminum and water are 910 J/kg ∙ K (aluminum)and 4190 J/kg ∙ K (water). What is the specific heat capacity of the 160-g piece of metal?
A)470 J/kg ∙ K
B)430 J/kg ∙ K
C)350 J/kg ∙ K
D)310 J/kg ∙ K
E)510 J/kg ∙ K

Free

Multiple Choice

Q 110Q 110

A camper is about to drink his morning coffee. He pours 400 grams of coffee, initially at 75°C into a 250-g aluminum cup, initially at 16°C. What is the equilibrium temperature of the coffee-cup system, assuming no heat is lost to the surroundings? The specific heat of aluminum is 900 J/kg ∙ K, and the specific heat of coffee is essentially the same as that of water, which is 4186 J/kg ∙ K.
A)45°C
B)62°C
C)65°C
D)68°C
E)71°C

Free

Multiple Choice

Q 111Q 111

A lab student drops a 400.0-g piece of metal at 120.0°C into a cup containing 450.0 g of water at 15.0°C. After waiting for a few minutes, the student measures that the final temperature of the system is 40.0°C. What is the specific heat of the metal, assuming that no significant heat is exchanged with the surroundings or the cup? The specific heat of water is 4186 J/kg ∙ K.
A)1470 J/kg ∙ K
B)2830 J/kg ∙ K
C)3420 J/kg ∙ K
D)3780 J/kg ∙ K
E)4280 J/kg ∙ K

Free

Multiple Choice

Q 112Q 112

A lab assistant drops a 400.0-g piece of metal at 100.0°C into a 100.0-g aluminum cup containing 500.0 g of water at In a few minutes, she measures the final temperature of the system to be 40.0°C. What is the specific heat of the 400.0-g piece of metal, assuming that no significant heat is exchanged with the surroundings? The specific heat of this aluminum is 900.0 J/kg ∙ K and that of water is 4186 J/kg ∙ K.
A)1900 J/kg ∙ K
B)2270 J/kg ∙ K
C)3300 J/kg ∙ K
D)3800 J/kg ∙ K
E)4280 J/kg ∙ K

Free

Multiple Choice

Q 113Q 113

A jogger is running outdoors on a cold day when the temperature is -20.0°C. She is breathing at the rate of 25 breaths per minute, and each time she breathes in she inhales 0.00450 m

^{3}of air. How much heat does she lose from breathing during 20.0 minutes of jogging if the air in her lungs is heated to her body temperature of 37.0°C before it is exhaled? The specific heat of air is 1020 J/kg ∙ K and the density of air under typical conditions is 1.29 kg/m^{3}. A)169 kJ B)278 kJ C)354 kJ D)431 kJ E)543 kJFree

Multiple Choice

Q 114Q 114

A person is walking outdoors on a cold day when the temperature is -20°C. He is breathing at the rate of 16 breaths per minute, and each time he breathes in he inhales 0.0050 m

^{3}of air. At what rate does he lose heat from breathing if the air in his lungs is heated to body temperature (37°C)before it is exhaled? The specific heat of air is 1020 J/kg ∙ K and the density of air is 1.29 kg/m^{3}. A)60 W B)90 W C)100 W D)150 W E)300 WFree

Multiple Choice

Q 115Q 115

A piece of iron of mass 0.12 kg is taken from an oven where its temperature is 336°C and quickly placed in an insulated copper can that contains 0.20 kg of water. The copper can has mass 0.50 kg, and it and the water in it are originally at a temperature of 20°C. Calculate the final temperature of the system, assuming no heat is lost to the surroundings. Use the following specific heats: 4190J/kg ∙ C° (water), 470 J/kg ∙ C° (iron), and 390 J/kg ∙ C° (copper).

Free

Essay

Q 116Q 116

A 0.600-kg piece of metal X is heated to 100°C and placed in an aluminum can of mass 0.200-kg which contains 0.500 kg of water initially at 17.3°C. The final equilibrium temperature of the mixture is 20.2°C, what is the specific heat of metal X? The specific heats of water and aluminum are 4186 J/kg ∙ K (water)and 910 J/kg ∙ K (aluminum).
A)140 J/kg ∙ K
B)270 J/kg ∙ K
C)450 J/kg ∙ K
D)900 J/kg ∙ K

Free

Multiple Choice

Q 117Q 117

When 50 g of a certain material at 100°C is mixed with 100 g of water at 0°C, the final temperature is 40°C. What is the specific heat of the material? The specific heat of water is 1.00 kcal/kg ∙ C°.
A)0.33 kcal/kg ∙ C°
B)0.75 kcal/kg ∙ C°
C)1.3 kcal/kg ∙ C°
D)7.5 kcal/kg ∙ C°

Free

Multiple Choice

Q 118Q 118

A person makes iced tea by adding ice to 1.8 kg of hot tea, initially at 80°C. How many kilograms of ice, initially at 0°C, are required to bring the mixture to 10°C? The specific heat of water (and tea)is 4186 J/kg ∙ K, and the latent heat of fusion of ice is 3.34 × 10

^{5}J/kg. A)1.0 kg B)1.2 kg C)1.4 kg D)1.7 kgFree

Multiple Choice

Q 119Q 119

A 600-g piece of iron at 100°C is dropped into a calorimeter of negligible heat capacity containing 100 g of ice at 0°C and 120 g of water, also at 0°C. What is the final temperature of the system? The specific heat of iron is 448 J/kg ∙ K, the latent heat of fusion of water is 33.5 × 10

^{4}J/kg, and the specific heat of water is 4186 J/kg ∙ K.Free

Essay

Q 120Q 120

A 35-g block of ice at -14°C is dropped into a calorimeter (of negligible heat capacity)containing 400 g of water at 0°C. When the system reaches equilibrium, how much ice is left in the calorimeter? The specific heat of ice is 2090 J/kg ∙ K, that of water is 4186 J/kg ∙ K, and the latent heat of fusion of water is 33.5 × 10

^{4}J/kg. A)32 g B)33 g C)35 g D)38 g E)41 gFree

Multiple Choice

Q 121Q 121

A 44.0-g block of ice at -15.0°C is dropped into a calorimeter (of negligible heat capacity)containing of water at 5.0°C. When equilibrium is reached, how much of the ice will have melted? The specific heat of ice is 2090 J/kg ∙ K, that of water is 4186 J/kg ∙ K, and the latent heat of fusion of water is 33.5 × 10

^{4}J/kg. A)2.1 g B)21 g C)5.2 g D)52 g E)4.4 gFree

Multiple Choice

Q 122Q 122

A 40.0-g block of ice at -15.00°C is dropped into a calorimeter (of negligible heat capacity)containing water at 15.00°C. When equilibrium is reached, the final temperature is 8.00°C. How much water did the calorimeter contain initially? The specific heat of ice is 2090 J/kg ∙ K, that of water is 4186 J/kg ∙ K, and the latent heat of fusion of water is 33.5 × 10

^{4}J/kg. A)302 g B)345 g C)405 g D)546 g E)634 gFree

Multiple Choice

Q 123Q 123

A 400-g block of iron at 400°C is dropped into a calorimeter (of negligible heat capacity)containing 60 g of water at 30°C. How much steam is produced? The latent heat of vaporization of water is 22.6 × 10

^{5}J/kg and its specific heat capacity is 4186 J/kg ∙ K. The average specific heat of iron over this temperature range is 560 J/kg ∙ K. A)22 g B)33 g C)42 g D)54 g E)59 gFree

Multiple Choice

Q 124Q 124

An 920-g piece of iron at 100°C is dropped into a calorimeter of negligible heat capacity containing 50 g of ice at 0°C and 92 g of water, also at 0°C. What is the final temperature of the system? The specific heat of iron is 448 J/kg ∙ K, that of water is 4186 J/kg ∙ K, and the latent heat of fusion of water is 33.5 × 10

^{4}J/kg. A)0°C B)11°C C)14°C D)24°C E)32°CFree

Multiple Choice

Q 125Q 125

A 360-g metal container, insulated on the outside, holds 180.0 g of water in thermal equilibrium at 22.0°C. A 24.0-g ice cube, at the melting point, is dropped into the water, and when thermal equilibrium is reached the temperature is 15.0°C. Assume there is no heat exchange with the surroundings. For water, the specific heat capacity is 4190 J/kg ∙ K and the heat of fusion is 3.34 × 10

^{5}J/kg. What is the specific heat capacity of the metal of the container? A)1700 J/kg ∙ K B)970 J/kg ∙ K C)2300 J/kg ∙ K D)2800 J/kg ∙ K E)3300 J/kg ∙ KFree

Multiple Choice

Q 126Q 126

Two experimental runs are performed to determine the calorimetric properties of an alcohol which has a melting point of -10.0° C. In the first run, a 200-g cube of frozen alcohol, at the melting point, is added to 300 g of water at 20.0°C in a styrofoam container. When thermal equilibrium is reached, the alcohol-water solution is at a temperature of 5.0°C. In the second run, an identical cube of alcohol is added to 500 g of water at 20.0°C and the temperature at thermal equilibrium is 10.0°C. The specific heat capacity of water is 4190 J/kg ∙ K. Assume no heat is exchanged with the styrofoam container and the surroundings. What is the heat of fusion of the alcohol?
A)5.5 × 10

^{4}J/kg B)6.3 × 10^{4}J/kg C)7.1 × 10^{4}J/kg D)7.9 × 10^{4}J/kg E)8.7 × 10^{4}J/kgFree

Multiple Choice

Q 127Q 127

Two experimental runs are performed to determine the calorimetric properties of an alcohol which has a melting point of -10° C. In the first run, a 200-g cube of frozen alcohol, at the melting point, is added to 300 g of water at 20°C in a styrofoam container. When thermal equilibrium is reached, the alcohol-water solution is at a temperature of 5°C. In the second run, an identical cube of alcohol is added to 500 g of water at 20°C and the temperature at thermal equilibrium is 10°C. The specific heat capacity of water is 4190 J/kg ∙ K. Assume no heat is exchanged with the styrofoam container and the surroundings. What is the specific heat capacity of the alcohol?
A)1700 J/kg ∙ K
B)1900 J/kg ∙ K
C)2100 J/kg ∙ K
D)2300 J/kg ∙ K
E)2500 J/kg ∙ K

Free

Multiple Choice

Q 128Q 128

How many grams of ice at -17°C must be added to 741 grams of water that is initially at a temperature of to produce water at a final temperature of Assume that no heat is lost to the surroundings and that the container has negligible mass. The specific heat of liquid water is 4190 J/kg ∙ C° and of ice is 2000 J/kg ∙ C°. For water the normal melting point is 0°C and the heat of fusion is 334 × 10

^{3}J/kg. The normal boiling point is 100°C and the heat of vaporization is 2.256 × 10^{6}J/kg.Free

Essay

Q 129Q 129

A heat-conducting rod, 0.90 m long and wrapped in insulation, is made of an aluminum section that is 0.20 m long and a copper section that is long. Both sections have a cross-sectional area of The aluminum end and the copper end are maintained at temperatures of and respectively. The thermal conductivities of aluminum and copper are 205 W/m ∙ K (aluminum)and 385 W/m ∙ K (copper). What is the temperature of the aluminum-copper junction in the rod with steady state heat flow?
A)100°C
B)93°C
C)86°C
D)80°C
E)74°C

Free

Multiple Choice

Q 130Q 130

A heat conducting rod, 1.60 m long and wrapped in insulation, is made of an aluminum section that is 0.90 m long and a copper section that is long. Both sections have a cross-sectional area of The aluminum end and the copper end are maintained at temperatures of and respectively. The thermal conductivities of aluminum and copper are 205 W/m ∙ K (aluminum)and 385 W/m ∙ K (copper). At what rate is heat conducted in the rod under steady state conditions?
A)9.0 W
B)7.9 W
C)10 W
D)11 W
E)12 W

Free

Multiple Choice

Q 131Q 131

A heat-conducting rod that is wrapped in insulation is constructed with a 0.15-m length of alloy A and a 0.40-m length of alloy B, joined end-to-end. Both pieces have cross-sectional areas of 0.0020 m

^{2}. The thermal conductivity of alloy B is known to be 1.8 times as great as that for alloy A. The end of the rod in alloy A is maintained at a temperature of 10°C, and the other end of the rod is maintained at an unknown temperature. When steady state flow has been established, the temperature at the junction of the alloys is measured to be 40° C, and the rate of heat flow in the rod is measured at 56 W. What is the temperature of the end of the rod in alloy B? A)80°C B)84°C C)88°C D)92°C E)96°CFree

Multiple Choice

Q 132Q 132

A heat-conducting rod that is wrapped in insulation is constructed with a 0.15-m length of alloy A and a 0.40-m length of alloy B, joined end-to-end. Both pieces have cross-sectional areas of 0.0020 m

^{2}. The thermal conductivity of alloy B is known to be 1.8 times as great as that for alloy A. The end of the rod in alloy A is maintained at a temperature of 10°C, and the other end of the rod is maintained at an unknown temperature. When steady state flow has been established, the temperature at the junction of the alloys is measured to be 40° C, and the rate of heat flow in the rod is measured at 56 W. What is the thermal conductivity of alloy A? A)120 W/m ∙ K B)125 W/m ∙ K C)130 W/m ∙ K D)135 W/m ∙ K E)140 W/m ∙ KFree

Multiple Choice

Q 133Q 133

Some properties of a certain glass are listed here: Density 2300 kg/m

^{3}Specific heat capacity 840 J/kg ∙ C° Coefficient of thermal expansion 8.5 × 10^{-6}(C°)^{-1}Thermal conductivity 0.80 W/m ∙ C° A glass window pane is 2.7 m high, 2.4 m wide, and 9.0 mm thick. The temperature at the inner surface of the glass is and at the outer surface 4°C. How much heat is lost each hour through the window? A)3.1 × 10^{7 J}B)3.1 × 10^{4 J}C)8.6 × 10^{3 J}D)8.6 J E)3.1 × 10^{5 J}Free

Multiple Choice

Q 134Q 134

A concrete wall of a cold storage room measures 3.0 m high, 5.0 m wide, and 20 cm thick. The inside wall is to be covered by a layer of wood in order to reduce the rate of heat flow through the wall by 90 percent. The inner surface of the wooden wall is maintained at -10°C and the outer surface of the concrete wall is at 20°C. The thermal conductivities of concrete and wood are 0.80 W/m ∙ K (concrete)and 0.040 W/m ∙ K (wood). What is the temperature difference across the layer of wood?
A)24 C°
B)25 C°
C)26 C°
D)27 C°
E)28 C°

Free

Multiple Choice

Q 135Q 135

A concrete wall of a cold storage room measures 3.0 m high, 5.0 m wide, and 20 cm thick. The inside wall is to be covered by a layer of wood in order to reduce the rate of heat flow through the wall by 90 percent. The inner surface of the wooden wall is maintained at -10°C and the outer surface of the concrete wall is at 20°C. The thermal conductivities of concrete and wood are 0.80 W/m ∙ K (concrete)and 0.040 W/m ∙ K (wood). What should be the thickness of the layer of wood?
A)60 mm
B)70 mm
C)80 mm
D)90 mm
E)100 mm

Free

Multiple Choice

Q 136Q 136

A solid concrete wall has dimensions 4.0 m × 2.4 m and is 30 cm thick. The thermal conductivity of the concrete is 1.3 W/m ∙ K, and it separates a basement from the ground outside. The inner surface of the wall is at 18°C, and the outside surface is at 6°C. How much heat flows through the wall every hour?
A)1.8 MJ
B)1.8 kJ
C)500 J
D)5.0 MJ
E)5.0 kJ

Free

Multiple Choice

Q 137Q 137

A glass tea kettle containing 500 g of water is on the stove. The portion of the tea kettle that is in contact with the heating element has an area of 0.090 m

^{2}and is 1.5 mm thick. At a certain moment, the temperature of the water is 75°C, and it is rising at the rate of 3 C° per minute. What is the temperature of the outside surface of the bottom of the tea kettle? Neglect the heat capacity of the kettle, and assume that the inner surface of the kettle is at the same temperature as the water inside. The thermal conductivity of glass is 0.840 W/m ∙ K and the specific heat of water is 4186 J/kg ∙ K. A)39°C B)92°C C)120°C D)86°C E)77°CFree

Multiple Choice

Q 138Q 138

A 400-g stainless steel tea kettle containing 500 g of water is on the stove. The portion of the tea kettle that is in contact with the heating element has an area of 0.090 m

^{2}and is 2.0 mm thick. At a certain moment, the temperature of the water is 75°C, and it is rising at the rate of 3.0 C° per minute. What is the difference in temperature between the inside and the outside of the bottom of the tea kettle? Assume that the inner surface of the kettle is at the same temperature as the water inside. The thermal conductivity of stainless steel is 16.3 W/m ∙ K, the specific heat of the steel is 448 J/kg ∙ K, and the specific heat of water is 4186 J/kg . K. A)2.2 C° B)1.5 C° C)1.1 C° D)0.50 C° E)0.15 C°Free

Multiple Choice

Q 139Q 139

Two metal rods, one silver and the other copper, are both immersed at one end in a steam chamber at a temperature of 100°C. The other end of each one is in an ice water bath at 0°C. The rods are 5.0 cm long and have a square cross-section that is 2.0 cm on a side. No heat is exchanged between the rods and the surroundings, except at the ends. How much total heat flows through the two rods each minute? The thermal conductivity of silver is 417 W/m ∙ K, and that of copper is 395 W/m ∙ K.
A)20 kJ
B)39 kJ
C)47 kJ
D)49 kJ
E)11 kJ

Free

Multiple Choice

Q 140Q 140

Two metal rods, one silver and the other gold, are attached to each other end-to-end. The free end of the silver rod is immersed in a steam chamber at 100°C, and the free end of the gold rod in an ice water bath at 0°C. The rods are both 5.0 cm long and have a square cross-section that is 2.0 cm on a side. No heat is exchanged between the rods and their surroundings, except at the ends. How much total heat flows through the two rods each minute? The thermal conductivity of silver is 417 W/m ∙ K, and that of gold is 291 W/m ∙ K.
A)8.2 kJ
B)9.5 kJ
C)12 kJ
D)14 kJ
E)16 kJ

Free

Multiple Choice

Q 141Q 141

Two metal rods, one silver and the other gold, are attached to each other end-to-end. The free end of the silver rod is immersed in a steam chamber at 100°C, and the free end of the gold rod in an ice water bath at 0°C. The rods are both 5.0 cm long and have a square cross-section that is 2.0 cm on a side. No heat is exchanged between the rods and their surroundings, except at the ends. What is the temperature at the point where the two rods are in contact with one another? The thermal conductivity of silver is 417 W/m ∙ K, and that of gold is 291 W/m ∙ K.
A)39°C
B)41°C
C)47°C
D)53°C
E)59°C

Free

Multiple Choice

Q 142Q 142

The thermal conductivity of a certain concrete is 0.80 W/m . K and the thermal conductivity of a certain wood is 0.10 W/m ∙ K. How thick would a solid concrete wall have to be in order to have the same rate of heat flow through it as an 8.0-cm thick wall made of solid wood? Both walls have the same surface area and the same temperature difference across their faces.
A)53 cm
B)64 cm
C)71 cm
D)85 cm

Free

Multiple Choice

Q 143Q 143

The thermal conductivity of aluminum is twice that of brass. Two rods (one aluminum and the other brass)of the same length and cross-sectional area are joined together end to end. The free end of the brass rod is maintained at 0°C and the free end of the aluminum rod is maintained at 200°C. If no heat escapes from the sides of the rods, what is the temperature at the place where the two rods are joined together?
A)76°C
B)133°C
C)148°C
D)155°C

Free

Multiple Choice

Q 144Q 144

A window glass that is 0.5 cm thick has dimensions of 3 m by 1.5 m. The thermal conductivity of this glass is 0.8 W/m ∙ K. If the outside surface of the glass is at -10°C and the inside surface is at 20°C, how much heat flows through the window in every hour?
A)50 MJ
B)60 MJ
C)70 MJ
D)80 MJ

Free

Multiple Choice

Q 145Q 145

A rod, with sides insulated to prevent heat loss, has one end immersed in boiling water at 100°C and the other end in a water-ice mixture at 0°C. The rod has uniform cross-sectional area and length The heat conducted by the rod melts the ice at a rate of 1.0 g every 11 seconds. What is the thermal conductivity of the rod? Recall that the heat of fusion of water is 3.34 × 10

^{5}J/kg.Free

Essay

Q 146Q 146

In an experiment to measure the thermal conductivity of a certain material, a slab of material 10.0 mm thick separates a steam chamber from a block of ice with a square cross-section with dimensions 8.00 cm × 8.00 cm. After 5.00 min of running the experiment, 64.0 g of ice have melted. What is the thermal conductivity of this material? The latent heat of fusion of water is 33.5 × 10

^{4}J/kg, the latent heat of vaporization of water is 2.256 × 10^{6}J/kg, and both the ice and water are under 1.00 atm of pressure. A)0.130 W/m ∙ K B)0.250 W/m ∙ K C)0.440 W/m ∙ K D)0.620 W/m ∙ K E)1.12 W/m ∙ KFree

Multiple Choice

Q 147Q 147

A sphere of surface area 1.25 m

^{2}and emissivity 1.0 is at a temperature of 100°C. At what rate does it radiate heat into empty space? (σ = 5.67 × 10^{-8}W/m^{2}∙ K^{4}) A)7.1 W B)0.71 mW C)1.4 kW D)9.9 mW E)3.7 WFree

Multiple Choice

Q 148Q 148

The cylindrical filament in a light bulb has a diameter of 0.050 mm, an emissivity of 1.0, and a temperature of 3000°C. How long should the filament be in order to radiate 60 W of power? (σ = 5.67 × 10

^{-8}W/m^{2}∙ K^{4}) A)11 cm B)9.4 cm C)8.6 cm D)7.2 cm E)5.9 cmFree

Multiple Choice

Q 149Q 149

How much power does a sphere with a radius of 10 cm radiate into empty space if is has an emissivity of 1.0 and is kept at a temperature of 400 K? (σ = 5.67 × 10

^{-8}W/m^{2}∙ K^{4}) A)60 W B)70 W C)180 W D)210 W E)360 WFree

Multiple Choice

Q 150Q 150

A blacksmith is flattening a steel plate having dimensions 10 cm × 15 cm × 1 mm. He has heated the plate to 900 K. If the emissivity of the plate is 0.75, at what rate does it lose energy by radiation? Ignore any heat exchange with the surroundings. (σ = 5.67 × 10

^{-8}W/m^{2}∙ K^{4}) A)360 W B)760 W C)790 W D)850 W E)880 WFree

Multiple Choice

Q 151Q 151

What is the net power that a person with surface area of 1.20 m

^{2}radiates if his emissivity is 0.895, his skin temperature is 27°C, and he is in a room that is at a temperature of 17°C? (σ = 5.67 × 10^{-8}W/m^{2}∙ K^{4}) A)60.3 W B)62.6 W C)65.7 W D)68.4 W E)64.8 WFree

Multiple Choice

Q 152Q 152

What is the net power radiated by a little animal with a surface area of 0.075 m

^{2}if his emissivity is 0.75, his skin temperature is 315 K, and he is in a room with a temperature of 290 K? (σ = 5.67 × 10^{-8}W/m^{2}∙ K^{4}) A)8.8 W B)6.0 W C)8.0 W D)15 W E)18 WFree

Multiple Choice

Q 153Q 153

The radius of a star is 6.95 × 10

^{8}m, and its rate of radiation has been measured to be 5.32 × 10^{26}W. Assuming that it is a perfect emitter, what is the temperature of the surface of this star? (σ = 5.67 × 10^{-8}W/m^{2}∙ K^{4}) A)6.27 × 10^{3}K B)8.25 × 10^{3}K C)8.87 × 10^{3}K D)3.93 × 10^{7}K E)5.78 × 10^{7}KFree

Multiple Choice

Q 154Q 154

A giant star radiates energy at the rate of 3.0 × 10

^{30}W, and its surface temperature has been measured to be 3000 K. Assuming that it is a perfect emitter, what is the radius of this star?(σ = 5.67 × 10^{-8}W/m^{2}∙ K^{4}) A)7.8 × 10^{10}m B)8.7 × 10^{10}m C)1.4 × 10^{10}m D)1.9 × 10^{11}m E)2.3 × 10^{11}mFree

Multiple Choice

Q 155Q 155

Two identical objects are placed in a room with a temperature of 20°C. Object A has a temperature of 50°C, while object B has a temperature of 90°C. What is the ratio of the net power emitted by object B to the power emitted by object A?
A)1.7
B)2.8
C)81
D)17
E)21

Free

Multiple Choice

Q 156Q 156

In an electric furnace used for refining steel, the temperature is monitored by measuring the radiant power emitted through a small hole in the wall of the furnace, of area 0.5 cm

^{2}. This hole acts like a perfect blackbody radiator having the same temperature as the interior of the furnace. If the temperature of the furnace (and therefore of the hole)is to be maintained at 1650°C, how much power will the hole radiate? A)20 W B)30 W C)40 W D)50 WFree

Multiple Choice

Q 157Q 157

Originally 2.00 mol of gas are at STP. If the temperature changes to 47.0°C and the pressure decreases to half of what it was, how many liters do the two moles now occupy? (1 atm = 101 kPa, R = 8.31 J/mol ∙ K)

Free

Essay

Q 158Q 158

How many molecules are in (a)1.0 cm

^{3}of air at STP and (b)1.0 cm^{3}of helium at STP? (R = 8.31 J/mol . K, N_{A}= 6.022 × 10^{23}molecules/mol)Free

Essay

Q 159Q 159

If a certain sample of an ideal gas has a temperature of 104°C and exerts a pressure of 2.3 × 10

^{4}Pa on the walls of its container, how many gas molecules are present in each cubic centimeter of volume? The ideal gas constant is R = 8.31 J/mol × K and Avogadro's number is N_{A}= 6.022 × 10^{23}molecules/mol.Free

Essay

Q 160Q 160

A jar holds 2.0 L of ideal nitrogen gas, N

_{2}, at STP. The atomic mass of nitrogen is 14.0 g/mol, the ideal gas constant is R = 8.31 J/mol ∙ K, Avogadro's number is N_{A}= 6.022 × 10^{23}molecules/mol, and 1.00 atm = 101 kPa. (a)How many moles of nitrogen are in the jar? (b)How many nitrogen molecules are in the jar? (c)What is the mass of the nitrogen in the jar?Free

Essay

Q 161Q 161

How many moles are there in 2.00 kg of copper? The atomic weight of copper is 63.5 g/mol and its density is 8.90 g/cm

^{3}. A)15.3 B)31.5 C)51.3 D)53.1Free

Multiple Choice

Q 162Q 162

An ideal gas has a pressure of 2.5 atm, a volume of 1.0 L at a temperature of 30°C. How many molecules are there in this gas? (R = 8.31 J/mol ∙ K,1.00 atm = 101 kPa, N

_{A}= 6.022 × 10^{23}) A)6.1 × 10^{23}B)6.0 × 10^{22}C)2.4 × 10^{22}D)2.3 × 10^{23}Free

Multiple Choice

Q 163Q 163

A car starts out when the air temperature is 288 K and the absolute (total)air pressure in the tires is 500 kPa. After driving a while, the temperature of the air in the tires increases to 298 K. What is the pressure in the tires at that point, assuming their volume does not change?
A)129 kPa
B)483 kPa
C)507 kPa
D)517 kPa
E)532 kPa

Free

Multiple Choice

Q 164Q 164

An ideal gas occupies 6.00 × 10

^{2}cm^{3}at 20°C. At what temperature will it occupy 1.20 × 10^{3}cm^{3}if the pressure is held constant? A)10°C B)40°C C)100°C D)313°CFree

Multiple Choice

Q 165Q 165

A balloon originally has a volume of 1.0 m

^{3}when the gas in it is at 20°C and under a pressure of 1.0 atm. As it rises in the earth's atmosphere, its volume expands. What will be its new volume if its final temperature and pressure are -40°C and 0.10 atm? A)2.0 m^{3}B)4.0 m^{3}C)6.0 m^{3}D)8.0 m^{3}Free

Multiple Choice

Q 166Q 166

A certain automobile tire has a volume of 0.0185 m

^{3}. If the absolute (or total)pressure in the tire is 500 kPa and the temperature is 298 K, how many molecules are there inside the tire? (R = 8.31 J/mol ∙ K, N_{A}= 6.022 x 10^{23}molecules/mol) A)2.25 × 10^{23}molecules B)2.25 × 10^{24}molecules C)3.25 × 10^{23}molecules D)3.25 × 10^{24}molecules E)3.25 × 10^{25}moleculesFree

Multiple Choice

Q 167Q 167

On a cold day, you take in 4.2 L of air into your lungs at a temperature of 0°C. If you hold your breath until the temperature of the air in your lungs reaches 37°C, what is the volume of the air in your lungs at that point, assuming the pressure does not change?
A)4.2 L
B)4.4 L
C)4.6 L
D)4.8 L
E)5.0 L

Free

Multiple Choice

Q 168Q 168

Your lungs hold 4.2 L of air at a temperature of 27°C and a pressure of 101.3 kPa. How many moles of air do your lungs hold? (R = 8.31 J/mol ∙ K)
A)0.15 moles
B)0.17 moles
C)0.19 moles
D)0.21 moles
E)0.23 moles

Free

Multiple Choice

Q 169Q 169

A 20.0-L pressure vessel holds 2.00 mol of oxygen at 30°C. What is the pressure inside the vessel? (R = 8.31 J/mol ∙ K)
A)101 Pa
B)101 kPa
C)1.01 MPa
D)2.52 MPa
E)252 kPa

Free

Multiple Choice

Q 170Q 170

A weather balloon containing 2.0 m

^{3}of hydrogen gas rises from a location at which the temperature is 22°C and the pressure is 101 kPa to a location where the temperature is -39°C and the pressure is 20 kPa. If the balloon is free to expand so that the pressure of the gas inside is equal to the ambient pressure, what is the new volume of the balloon? A)4.0 m^{3}B)6.0 m^{3}C)8.0 m^{3}D)10 m^{3}E)12 m^{3}Free

Multiple Choice

Q 171Q 171

A laboratory vacuum pump can reduce the pressure in a chamber to 1.0 × 10

^{-7}Pa. If the volume of the chamber is 0.500 m^{3}and the temperature is 27°C, how many molecules are left inside the chamber? (N_{A}= 6.022 × 10^{23}molecules/mol, R = 8.31 J/mol ∙ K) A)1.2 × 10^{13}B)2.4 × 10^{13}C)1.2 × 10^{12}D)2.4 × 10^{12}E)1.2 × 10^{14}Free

Multiple Choice

Q 172Q 172

A refrigerator has an interior volume of 0.500 m

^{3}. The temperature inside the refrigerator in 282 K, and the pressure is 101 kPa. If the molecular weight of air is 29 g/mol, what is the mass of air inside the refrigerator? (R = 8.31 J/mol × K) A)625 g B)513 g C)447 g D)329 g E)243 gFree

Multiple Choice

Q 173Q 173

A vertical cylinder, closed at the bottom end, contains 0.0100 mol of ideal gas. It is fitted at the top with a piston that can move freely. The mass of the piston is 14.0 kg and the initial height of the piston above the bottom of the cylinder is 25 cm. What is the temperature of the gas? (R = 8.31 J/mol ∙ K)
A)290 K
B)413 K
C)3620 K
D)405 K
E)500 K

Free

Multiple Choice

Q 174Q 174

A gas-filled vertical cylinder, closed at the bottom end, is fitted at the top with a piston that can move freely. The mass of the piston is 10.0 kg, and the initial height of the piston above the bottom of the cylinder is 25 cm. A mass of 8.0 kg is placed on the piston. What is the resulting height of the piston, assuming that the temperature of the ideal gas is kept constant?
A)12 cm
B)13 cm
C)14 cm
D)15 cm
E)16 cm

Free

Multiple Choice

Q 175Q 175

A quantity of an ideal gas is kept in a rigid container of constant volume. If the gas is originally at a temperature of 19°C, at what temperature will the pressure of the gas double from its original value?
A)91°C
B)38°C
C)311°C
D)273°C
E)122°C

Free

Multiple Choice

Q 176Q 176

A 5.3 L flask of ideal neon gas (which is monatomic)is at a pressure of 6.0 atm and a temperature of The atomic mass of neon is 20.2 g/mol. What is the mass of the neon gas in the flask. (R = 8.31 J/mol ∙ K, 1 atm = 101 kPa, N

_{A}= 6.022 × 10^{23}molecules/mol) A)2.7 × 10^{-2}B)1.6 × 10^{-2}C)1.3 × 10^{1}D)2.7 × 10^{1}E)2.7 × 10^{3}Free

Multiple Choice

Q 177Q 177

A 4.2-L flask of ideal neon gas (which is monatomic)is at a pressure of 3.3 atm and a temperature of 450 K. The atomic mass of neon is 20.2 g/mol. How many neon atoms are in the flask? (R = 8.31 J/mol ∙ K, 1 atm = 101 kPa, N

_{A}= 6.022 × 10^{23}molecules/mol) A)2.3 × 10^{23}B)2.3 × 10^{22}C)6.9 × 10^{23}D)2.3 × 10^{25}E)6.9 × 10^{22}Free

Multiple Choice

Q 178Q 178

A 3.9-L volume of ideal neon gas (monatomic)is at a pressure of 5.6 aym and a temperature of The atomic mass of neon is The temperature of the gas is now increased to 430 K and the volume is increased to What is the final pressure of the gas?
A)4.8 atm
B)4.3 atm
C)5.3 atm
D)5.8 atm
E)6.3 atm

Free

Multiple Choice

Q 179Q 179

A 0.40- gas tank holds 7.0 moles of ideal diatomic nitrogen gas at a temperature of The atomic mass of nitrogen is . What is the pressure of the gas? (R = 8.31 J/mol ∙ K, 1 atm = 101 kPa)
A)42 atm
B)37 atm
C)32 atm
D)27 atm
E)22 atm

Free

Multiple Choice

Q 180Q 180

A 24.0-L tank contains ideal helium gas at 27°C and a pressure of 22.0 atm. How many moles of gas are in the tank? (R = 8.31 J/mol ∙ K, 1 atm = 101 kPa)
A)238 mol
B)138 mol
C)17.5 mol
D)21.4 mol
E)76.0 mol

Free

Multiple Choice

Q 181Q 181

A sealed cylinder fitted with a movable piston contains ideal gas at 27°C, pressure 0.500 × 10

^{5}Pa, and volume 1.25 m^{3}. What will be the final temperature if the gas is compressed to 0.800 m^{3}and the pressure rises to 0.820 × 10^{5}Pa? A)42°C B)68°C C)130°C D)250°C E)150°CFree

Multiple Choice

Q 182Q 182

A sealed container holds 0.020 moles of ideal nitrogen (N

_{2})gas, at a pressure of 1.5 atm and a temperature of 290 K. The atomic mass of nitrogen is 14.0 g/mol. How many molecules of nitrogen are in the container? (R = 8.31 J/mol ∙ K, 1 atm = 101 kPa) A)1.5 × 10^{21}mol B)3.0 × 10^{21}mol C)6.0 × 10^{21}mol D)1.2 × 10^{22}mol E)2.4 × 10^{22}molFree

Multiple Choice

Q 183Q 183

What is the total translational kinetic energy of the gas in a classroom filled with nitrogen at at The dimensions of the classroom are The Boltzmann constant is 1.3806503 × 10

^{-23}J/K, R = 8.31 J/mol ∙ K, and N_{A}= 6.022 × 10^{23}molecules/mol.Free

Essay

Q 184Q 184

A flask contains a mixture of argon and neon gases at a stabilized temperature. The root-mean-square speed of the argon gas is determined to be 1.21 km/s. What is the root-mean-square speed of the neon gas? The atomic mass of argon is 39.95 g/mol, and that of neon is 20.18 g/mol.

Free

Essay

Q 185Q 185

(a)At what Celsius temperature is the average kinetic energy of a helium gas atom equal to 6.21 × 10

^{-21}J? The Boltzmann constant is 1.38 × 10^{-23}J/K . (b)What would be the temperature for radon gas?Free

Essay

Q 186Q 186

What is the average translational kinetic energy of an ideal gas at The Boltzmann constant is 1.38 × 10

^{-23}J/K. A)1.70 x 10^{-20}J B)5.65 x 10^{-21}J C)1.13 x 10^{-17}J D)3.77 x 10^{-19}JFree

Multiple Choice

Q 187Q 187

A sealed container holds 0.020 moles of ideal nitrogen (N

_{2})gas, at a pressure of 1.5 atm and a temperature of 290 K. The atomic mass of nitrogen is 14.0 g/mol. What is the average translational kinetic energy of a nitrogen molecule? The Boltzmann constant is 1.38 × 10^{-23}J/K. A)4.0 ×10^{21}J B)6.0 ×10^{21}J C)8.0 ×10^{21}J D)10 ×10^{21}J E)12 ×10^{21}JFree

Multiple Choice

Q 188Q 188

The rms speed of a certain sample of carbon dioxide molecules, with a molecular weight of 44.0 g/mole, is 396 m/s. What is the rms speed of water vapor molecules, with a molecular weight of 18.0 g/mol, at the same temperature as the carbon dioxide?
A)253 m/s
B)387 m/s
C)421 m/s
D)506 m/s
E)619 m/s

Free

Multiple Choice

Q 189Q 189

What is the average translational kinetic energy of a nitrogen molecule in the air in a room in which the air temperature is 17°C? The Boltzmann constant is 1.38 × 10

^{-23}J/K. A)6.01 × 10^{-21}J B)4.00 × 10^{-21}J C)5.00 × 10^{-21}J D)7.00 × 10^{-21}J E)9.00 × 10^{-21}JFree

Multiple Choice

Q 190Q 190

The molecular weight of nitrogen, N

_{2}, is 28 g/mol. What is the rms speed of nitrogen molecules in a cooler at 8.0°C? The Boltzmann constant is 1.38 × 10^{-23}J/K and N_{A}= 6.022 × 10^{23}molecules/mol. A)450 m/s B)500 m/s C)550 m/s D)600 m/s E)650 m/sFree

Multiple Choice

Q 191Q 191

At what temperature is the rms speed of hydrogen molecules, H

_{2}, which have a molecular weight of 2.02 g/mole, equal to 2.0 km/s? The Boltzmann constant is 1.38 × 10^{-23}J/K and N_{A}= 6.022 × 10^{23}molecules/mol. A)17°C B)34°C C)51°C D)68°C E)72°CFree

Multiple Choice

Q 192Q 192

A 0.50 gas tank holds 3.0 moles of ideal diatomic nitrogen gas at a temperature of The atomic mass of nitrogen is . What is the rms speed of the molecules? (The Boltzmann constant is 1.38 × 10

^{-23}J/K, N_{A}= 6.022 × 10^{23}molecules/mol.) A)560 B)790 C)390 D)21 E)97Free

Multiple Choice

Q 193Q 193

At what temperature would the root mean square speed of oxygen molecules, O

_{2}, be if oxygen behaves like an ideal gas? The mass of one O_{2}molecule is 5.312 × 10^{-26}kg, and the Boltzmann constant is 1.38 × 10^{-23}J/K. A)0.251 K B)2090 K C)6270 K D)1.52 × 10^{23}KFree

Multiple Choice

Q 194Q 194

If the temperature of a gas is increased from 20°C to 100°C, by what factor does the rms speed of an ideal molecule change?
A)1.1
B)1.3
C)2.2
D)1.6

Free

Multiple Choice

Q 195Q 195

An oxygen molecule, O

_{2}, falls in a vacuum. From what height must it fall so that its translational kinetic energy at the bottom of its fall equals the average translational kinetic energy of an oxygen molecule at 920 K? The mass of one O_{2}molecule is 5.312 × 10^{-26}kg, and the Boltzmann constant is 1.38 × 10^{-23}J/K. Neglect air resistance and assume that g remains constant at 9.8 m/s^{2}throughout the fall of the molecule. A)49 km B)12 km C)24 km D)37 km E)5.2 kmFree

Multiple Choice

Q 196Q 196

Dust particles in a grain elevator frequently have masses of the order of 1.0 × 10

^{-9}kg. If, to a first approximation, we model the dust particles as an ideal gas, what would be the rms speed of such a particle in air at 27°C? The Boltzmann constant is 1.38 × 10^{-23}J/K . A)3.5 × 10^{-6}m/s B)5.6 × 10^{-5}m/s C)7.8 × 10^{-4}m/s D)5.2 × 10^{-3}m/s E)4.9 × 10^{-2}m/sFree

Multiple Choice

Q 197Q 197

At what temperature would the root-mean-square speed of hydrogen, H

_{2}, molecules equal 11.2 km/s (the earth's escape speed)? The mass of a hydrogen atom is 1.67 × 10^{-27 }kg, and the Boltzmann constant is 1.38 × 10^{-23}J/K. A)1.01 × 10^{2}K B)1.01 × 10^{4}K C)1.01 × 10^{6}K D)1.01 × 10^{8}KFree

Multiple Choice

Q 198Q 198

If the temperature of an ideal gas is increased from 20°C to 40°C, by what percent does the speed of the molecules increase?
A)3%
B)30%
C)70%
D)100%

Free

Multiple Choice

Q 199Q 199

If an ideal gas molecule has a speed of 0.50 km/s at 20°C, what is its speed at 80°C?
A)500 m/s
B)550 m/s
C)1000 m/s
D)2000 m/s

Free

Multiple Choice

Q 200Q 200

How much heat is required to raise the temperature of 2.00 moles of an ideal monatomic gas by 10 C° at constant volume? (R = 8.31 J/mol ∙ K).
A)249 J
B)416 J
C)208 J
D)200 J
E)125 J

Free

Multiple Choice

Q 201Q 201

A rigid container is filled with 4.0 mol of air with C

_{V}= 2.5R. How much does the internal (thermal)energy of the air change if its temperature rises from to (R = 8.31 J/mol ∙ K) A)35,800 J B)430 J C)3580 J D)8940 JFree

Multiple Choice

Q 202Q 202

How much heat is required to increase the temperature of 1.70 moles of an ideal monatomic gas by 23.0 K at constant pressure? (R = 8.31 J/mol ∙ K)
A)812 J
B)346 J
C)751 J
D)391 J
E)290 J

Free

Multiple Choice

Q 203Q 203

If we add 700 J of heat to 12 moles of an ideal monatomic gas at constant volume, what will be the change in temperature of the gas? (R = 8.31 J/mol ∙ K)
A)4.7 K
B)5.2 K
C)5.8 J
D)6.8 K
E)9.3 K

Free

Multiple Choice

Q 204Q 204

A sealed 87- tank is filled with 6000 moles of ideal oxygen gas O

_{2}at an initial temperature of 270 K. The gas is heated to a final temperature of 460 K. The atomic mass of oxygen is 16.0 g/mol. How much heat is transferred to the gas during this process? (R = 8.31 J/mol ∙ K) A)24 MJ B)28 MJ C)19 MJ D)14 MJ E)9.1 MJFree

Multiple Choice

Q 205Q 205

A container with rigid walls is filled with 4.00 mol of air at 17°C with C

_{V}= 2.5R. What is the final temperature of the air if its internal energy is increased by 28 kJ? (R = 8.31 J/mol ∙ K) A)337°C B)354°C C)337 K D)354 K E)610 KFree

Multiple Choice

Q 206Q 206

A sample of ideal monatomic gas is cooled by 50.0 C° at constant volume by removing 831 J of energy from it. How many moles of gas are in the sample? (R = 8.31 J/mol ∙ K)
A)2.50 mol
B)1.50 mol
C)1.33 mol
D)1.00 mol

Free

Multiple Choice

Q 207Q 207

The temperature of an ideal gas in a sealed rigid 0.60- container is reduced from 460 K to The final pressure of the gas is The molar heat capacity at constant volume of the gas is 28.0 J/mol ∙ K. How much heat is absorbed by the gas during this process? (R = 8.31 J/mol ∙ K)
A)-130 kJ
B)-170 kJ
C)130 kJ
D)170 kJ
E)0 kJ

Free

Multiple Choice

Q 208Q 208

The figure shows a pV diagram for 2.6 g of ideal helium gas that undergoes the process 1 → 2 → 3. Find the value of volume V

_{3}. The atomic mass of helium is 4.0 g/mol, and R = 8.31 J/mol ∙ K. A)25 L B)99 L C)50 L D)12 LFree

Multiple Choice

Q 209Q 209

The figure shows a pV diagram for 8.3 g of ideal nitrogen gas N

_{2}in a sealed container. The temperature of state 1 is 59°C, the atomic mass of the nitrogen atom is 14 g/mol, and R = 8.31 J/mol ∙ K. What are (a)pressure p_{1}and (b)temperature T_{2}? A)(a)81 atm, (b)660°C B)(a)14 atm, (b)660°C C)(a)81 atm, (b)120°C D)(a)14 atm, (b)120°CFree

Multiple Choice

Q 210Q 210

The figure shows a pV diagram for 2.9 g of ideal oxygen gas O

_{2}in a sealed container. The temperature of state 1 is 76° C, the atomic mass of the oxygen atom is 16 g/mol, and R = 8.31 J/mol ∙ K. What are the temperatures T_{3}and T_{4}? A)-11° C and 510° C B)57° C and 170° C C)260° C and 790° C D)38° C and 110° CFree

Multiple Choice

Q 211Q 211

The figure shows a pV diagram for 0.98 mol of ideal gas that undergoes the process 1 → 2. The gas then undergoes an isochoric heating from point 2 until the pressure is restored to the value it had at point 1. What is the final temperature of the gas? (R = 8.31 J/mol ∙ K).
A)-160°C
B)12°C
C)380°C
D)110°C

Free

Multiple Choice

Q 212Q 212

The figure shows a pV diagram for 0.0061 mol of ideal gas that undergoes the process 1 → 2 → 3. What is the pressure p

_{2}? (R = 8.31 J/mol ∙ K) A)4.9 atm B)4.9 × 10^{5}_{ atm}C)15 atm D)1.5 × 10^{6}_{ atm}Free

Multiple Choice

Q 213Q 213

The figure shows a pV diagram for 0.0077 mol of ideal gas that undergoes the process 1 → 2 → 3. What is the volume V

_{3}? (R = 8.31 J/mol ∙ K) the volume V_{3}? A)770 B)0 C)0 D)400Free

Multiple Choice

Q 214Q 214

The temperature of an ideal gas in a sealed rigid 0.20- container is reduced from 360 K to and the final pressure of the gas is How much work is done by the gas during this process? (R = 8.31 J/mol ∙ K)
A)0 kJ
B)-9.0 kJ
C)-12 kJ
D)9.0 kJ
E)12 kJ

Free

Multiple Choice

Q 215Q 215

A compression at a constant pressure of 200 kPa is performed on 8.00 moles of an ideal monatomic gas. The compression reduces the volume of the gas from to How much work was done by the gas during this process?
A)-16 kJ
B)16 kJ
C)-40 kJ
D)40 kJ
E)0 kJ

Free

Multiple Choice

Q 216Q 216

An expansion process on an ideal diatomic ideal gas has a linear path between the initial and final coordinates on a pV diagram. The coordinates of the initial state are: the pressure is 300 kPa, the volume is and the temperature is The final pressure is and the final temperature is How much work is done by the gas during this process? (R = 8.31 J/mol ∙ K)
A)13,000 J
B)6300 J
C)9400 J
D)16,000 J
E)19,000 J

Free

Multiple Choice

Q 217Q 217

The figure shows a pV diagram for an ideal gas that is carried around a cyclic process. How much work is done in one cycle if p

_{0}= and L? (1.00 atm = 101 kPa) A)1210 J B)485 J C)2280 J D)2420 J E)4850 JFree

Multiple Choice

Q 218Q 218

An ideal gas undergoes the process a→b→c→a shown in the pV diagram. In this figure, P

_{a}= P_{c}= 3.60 × 10^{5}Pa, V_{b}= V_{c}= 68.00 L, V_{a}= 35 L, and P_{b}= 5.60 × 10^{5}Pa. How much work is done by the system in this process? A)2300 J B)3300 J C)2800 J D)3800 J E)3000 JFree

Multiple Choice

Q 219Q 219

A gas expands from an initial volume of 30.0 L to a final volume of 65.0 L at a constant pressure of 110 kPa. How much work is done by the gas during this expansion?
A)3.85 kJ
B)10.4 kJ
C)3850 kJ
D)10.4 MJ
E)3.85 MJ

Free

Multiple Choice

Q 220Q 220

A gas expands from an initial volume of 0.040 m

^{3}to a final volume of 0.085 m^{3}while its pressure increases linearly with the volume (so that the process follows a straight-line path in a pV diagram)from 110 kPa to 225 kPa. How much work is done by the gas during this expansion? A)5.2 kJ B)7.5 kJ C)7.8 kJ D)11 kJ E)12 kJFree

Multiple Choice