Question 1

A helium-filled balloon has a volume of 1 m³. As it rises in the earth's atmosphere, its volume expands. What will its new volume be (in m³) if its original temperature and pressure are 20°C and 1 atm, and its final temperature and pressure are −40°C and 0.1 atm?

Accepted Answer

Using the combined gas law, (P1 * V1) / T1 = (P2 * V2) / T2, and converting temperatures to Kelvin, the new volume V2 is calculated to be 8 m³.

Question 2

One mole of an ideal gas is held at a constant volume of 1 liter. Find the change in pressure if the temperature increases by 50°C.

Accepted Answer

B

Question 3

A pressure of 10.0 mm Hg is measured at the triple-point of water using a constant-volume gas thermometer. What will the pressure be (in mm Hg) at 50.0°C?

Accepted Answer

D

Question 4

Helium condenses into the liquid phase at approximately 4 K. What temperature, in degrees Fahrenheit, does this correspond to?

Accepted Answer

Helium condenses into a liquid at about 4 Kelvin. To convert this to Fahrenheit, use the formula F = (K - 273.15) * 9/5 + 32. Plugging in 4 K gives F = (4 - 273.15) * 9/5 + 32 ≈ -452°F.

Question 5

A bicycle pump contains air at one atmosphere and 0°C. As the tire is pumped up, the volume of air decreases by 50% with each stroke. What is the new pressure of air (in atm) in the chamber after the first stroke, assuming no temperature change?

Accepted Answer

According to Boyle's Law, pressure and volume are inversely proportional when temperature is constant. Halving the volume doubles the pressure, making it 2 atm.

Question 6

A building made with a steel structure is 650 m high on a winter day when the temperature is 0° F. How much taller (in cm) is the building when it is 100° F? (The linear expansion coefficient of steel is 11 × 10−⁶ (°C)−¹.)

Accepted Answer

The answer of A building made with a steel structure...

Question 7

One mole of an ideal gas is held at a constant pressure of 1 atm. Find the change in volume (in liters) if the temperature changes by 50°C.

Accepted Answer

The answer of One mole of an ideal gas is...

Question 8

A bridge is made with segments of concrete 50 m long. If the linear expansion coefficient is 12 × 10−⁶ (°C)−¹, how much spacing (in cm) is needed to allow for expansion during an extreme temperature change of 150° F?

Accepted Answer

To calculate the spacing needed for expansion, use the formula for linear expansion: ΔL = αLΔT, where ΔL is the change in length, α is the linear expansion coefficient, L is the original length, and ΔT is the temperature change. First, convert the temperature change from Fahrenheit to Celsius, since the coefficient is per degree Celsius. ΔT(°C) = (150°F - 32) × 5/9 = 65.56°C. Then, ΔL = (12 × 10^-6 /°C) × 50 m × 65.56°C = 0.039336 m or 3.9336 cm. The closest answer is 5.0 cm, allowing some extra space for safety.

Question 9

At what temperature is the Celsius scale reading equal to twice the Fahrenheit scale reading?

Accepted Answer

The Celsius scale reading is equal to twice the Fahrenheit scale reading when:C = 2F-40°C = -40°F-40°C = -40°F + 40°F-40°C = 0°FTherefore, the Celsius scale reading is equal to twice the Fahrenheit scale reading at -40°C, which is equal to -40°F.

Question 10

One mole of an ideal gas has a temperature of 25°C. If the volume is held constant and the pressure is doubled, the final temperature (in °C) will be

Accepted Answer

According to Charles' Law, when the volume of an ideal gas is kept constant, the temperature and pressure are directly proportional. Therefore, doubling the pressure will double the temperature as well. The final temperature can be calculated using the formula:
T2 = T1 * (P2/P1)
T1 = 25°C = 298 K (Convert to Kelvin)
P1 = 1 atm (given)
P2 = 2 atm (given)
T2 = 298 * (2/1) = 596 K = 323°C
Therefore, the final temperature will be 323°C.

Question 11

A gallon container is filled with gasoline. How many gallons are lost if the temperature increases by 25°F? (The volume expansion of gasoline is 9.6 × 10−⁴ (°C)−¹.) (Neglect the change in volume of the container.)

Accepted Answer

The answer of A gallon container is filled with gasoline....

Question 12

In order for two objects to have the same temperature, they must

Accepted Answer

Two objects must be in thermal equilibrium to have the same temperature. This means that they are in contact with each other and there is no net heat flow between them. They may not necessarily have the same relative "hotness" or "coldness" when touched, as this is a subjective perception that can vary between individuals. Therefore, options B and C are not sufficient on their own. Option D is true, but not the best choice as A is the most accurate and precise description of the necessary condition for two objects to have the same temperature. Option E is incorrect as it does not include the necessary condition of thermal equilibrium.

Question 13

A thermometer registers a change in temperature of 100°F. What change in temperature does this correspond to on the Kelvin Scale?

Accepted Answer

The Kelvin scale is an absolute temperature scale that starts at absolute zero (-273.15 °C). A change in temperature of 100°F is equivalent to a change of 55.6°C. To convert from Celsius to Kelvin, we add 273.15. Therefore, a change of 55.6°C is equivalent to a change of 55.6 + 273.15 = 328.75 K.

Question 14

An auditorium has a volume of 6 × 10³ m³. How many molecules of air are needed to fill the auditorium at one atmosphere and 0°C?

Accepted Answer

The number of molecules of air needed to fill the auditorium can be calculated using the ideal gas law:PV = nRTwhere P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature.At one atmosphere and 0°C, the number of moles of air needed to fill the auditorium is:n = PV/RT = (1 atm)(6 × 10³ m³)/(0.0821 Latm/(molK))(273 K) = 2.7 × 10⁴ molThe number of molecules of air needed to fill the auditorium is:N = nN_A = (2.7 × 10⁴ mol)(6.022 × 10²³ molecules/mol) = 1.6 × 10²⁷ moleculesTherefore, the correct answer is B) 1.6 × 10²⁷.

Question 15

A pressure of 10.0 mm Hg is measured using a constant-volume gas thermometer at a temperature of 50.0°C. What is the pressure (in mm Hg) at the zero-point temperature?

Accepted Answer

The pressure at the zero-point temperature (0°C) can be calculated using the ideal gas law, which implies that the pressure of a gas is directly proportional to its temperature when volume and the amount of gas are constant. The formula to convert the temperature from Celsius to Kelvin is T(K) = T(°C) + 273.15. Therefore, the temperature at 50.0°C is 323.15 K (50 + 273.15), and the zero-point temperature (0°C) is 273.15 K. Using the direct proportionality, $P_1/T_1 = P_2/T_2$, where $P_1 = 10.0$ mm Hg at $T_1 = 323.15$ K, and $P_2$ is the pressure at $T_2 = 273.15$ K. Solving for $P_2$, we get $P_2 = P_1 \times (T_2/T_1) = 10.0 \times (273.15/323.15) = 8.45$ mm Hg.

Question 16

Two thermometers are calibrated, one in degrees Celsius and the other in degrees Fahrenheit. At what temperature (in kelvins) do their readings measure the same temperature?

Accepted Answer

The two scales, Celsius and Fahrenheit, intersect at -40 degrees. To convert this to Kelvin, add 273.15 to the Celsius value: -40 + 273.15 = 233.15 K.

Question 17

A child has a temperature of 104°F. What is the temperature in degrees kelvin?

Accepted Answer

To convert Fahrenheit to Kelvin, we use the formula K = (°F + 459.67) × 5/9. Therefore, K = (104 + 459.67) × 5/9 = 313 K. Choice A can be eliminated immediately as it is too low of a value. Choice B and C are both too high of values. Choice E is also too high of a value and does not make sense in this context. Therefore, the answer is D (313).

Question 18

In order to understand the concept of temperature it is necessary to understand

Accepted Answer

The concept of temperature is based on the zeroth law of thermodynamics, which states that when two objects are in thermal equilibrium with a third object, they are also in thermal equilibrium with each other. The first and second laws of thermodynamics are important for understanding other aspects of thermodynamics, but not directly related to the concept of temperature.

Question 19

A temperature difference of 5 K is equal to

Accepted Answer

A temperature difference of 5 K is equivalent to a difference of 9 on the Fahrenheit scale because the conversion factor between Kelvin and Fahrenheit is 9/5.

Question 20

An auditorium has dimensions 10 m × 10 m × 60 m. How many moles of air fill this volume at one atmosphere and 0°C?

Accepted Answer

The answer of An auditorium has dimensions 10 m ×...

Quiz 19: Temperature

A helium-filled balloon has a volume of 1 m³. As it rises in the earth's atmosphere, its volume expands. What will its new volume be (in m³) if its original temperature and pressure are 20°C and 1 atm, and its final temperature and pressure are −40°C and 0.1 atm?

One mole of an ideal gas is held at a constant volume of 1 liter. Find the change in pressure if the temperature increases by 50°C.

A pressure of 10.0 mm Hg is measured at the triple-point of water using a constant-volume gas thermometer. What will the pressure be (in mm Hg) at 50.0°C?

Helium condenses into the liquid phase at approximately 4 K. What temperature, in degrees Fahrenheit, does this correspond to?

A bicycle pump contains air at one atmosphere and 0°C. As the tire is pumped up, the volume of air decreases by 50% with each stroke. What is the new pressure of air (in atm) in the chamber after the first stroke, assuming no temperature change?

A building made with a steel structure is 650 m high on a winter day when the temperature is 0° F. How much taller (in cm) is the building when it is 100° F? (The linear expansion coefficient of steel is 11 × 10−⁶ (°C) −¹.)

One mole of an ideal gas is held at a constant pressure of 1 atm. Find the change in volume (in liters) if the temperature changes by 50°C.

A bridge is made with segments of concrete 50 m long. If the linear expansion coefficient is 12 × 10−⁶ (°C) −¹, how much spacing (in cm) is needed to allow for expansion during an extreme temperature change of 150° F?

At what temperature is the Celsius scale reading equal to twice the Fahrenheit scale reading?

One mole of an ideal gas has a temperature of 25°C. If the volume is held constant and the pressure is doubled, the final temperature (in °C) will be

A gallon container is filled with gasoline. How many gallons are lost if the temperature increases by 25°F? (The volume expansion of gasoline is 9.6 × 10−⁴ (°C) −¹.) (Neglect the change in volume of the container.)

In order for two objects to have the same temperature, they must

A thermometer registers a change in temperature of 100°F. What change in temperature does this correspond to on the Kelvin Scale?

An auditorium has a volume of 6 × 10³ m³. How many molecules of air are needed to fill the auditorium at one atmosphere and 0°C?

A pressure of 10.0 mm Hg is measured using a constant-volume gas thermometer at a temperature of 50.0°C. What is the pressure (in mm Hg) at the zero-point temperature?

Two thermometers are calibrated, one in degrees Celsius and the other in degrees Fahrenheit. At what temperature (in kelvins) do their readings measure the same temperature?

A child has a temperature of 104°F. What is the temperature in degrees kelvin?

In order to understand the concept of temperature it is necessary to understand

A temperature difference of 5 K is equal to

An auditorium has dimensions 10 m × 10 m × 60 m. How many moles of air fill this volume at one atmosphere and 0°C?

Quiz 19: Temperature

A helium-filled balloon has a volume of 1 m3. As it rises in the earth's atmosphere, its volume expands. What will its new volume be (in m3) if its original temperature and pressure are 20°C and 1 atm, and its final temperature and pressure are −40°C and 0.1 atm?

One mole of an ideal gas is held at a constant volume of 1 liter. Find the change in pressure if the temperature increases by 50°C.

A pressure of 10.0 mm Hg is measured at the triple-point of water using a constant-volume gas thermometer. What will the pressure be (in mm Hg) at 50.0°C?

Helium condenses into the liquid phase at approximately 4 K. What temperature, in degrees Fahrenheit, does this correspond to?

A bicycle pump contains air at one atmosphere and 0°C. As the tire is pumped up, the volume of air decreases by 50% with each stroke. What is the new pressure of air (in atm) in the chamber after the first stroke, assuming no temperature change?

A building made with a steel structure is 650 m high on a winter day when the temperature is 0° F. How much taller (in cm) is the building when it is 100° F? (The linear expansion coefficient of steel is 11 × 10−6 (°C) −1.)

One mole of an ideal gas is held at a constant pressure of 1 atm. Find the change in volume (in liters) if the temperature changes by 50°C.

A bridge is made with segments of concrete 50 m long. If the linear expansion coefficient is 12 × 10−6 (°C) −1, how much spacing (in cm) is needed to allow for expansion during an extreme temperature change of 150° F?

At what temperature is the Celsius scale reading equal to twice the Fahrenheit scale reading?

One mole of an ideal gas has a temperature of 25°C. If the volume is held constant and the pressure is doubled, the final temperature (in °C) will be

A gallon container is filled with gasoline. How many gallons are lost if the temperature increases by 25°F? (The volume expansion of gasoline is 9.6 × 10−4 (°C) −1.) (Neglect the change in volume of the container.)

In order for two objects to have the same temperature, they must

A thermometer registers a change in temperature of 100°F. What change in temperature does this correspond to on the Kelvin Scale?

An auditorium has a volume of 6 × 103 m3. How many molecules of air are needed to fill the auditorium at one atmosphere and 0°C?

A pressure of 10.0 mm Hg is measured using a constant-volume gas thermometer at a temperature of 50.0°C. What is the pressure (in mm Hg) at the zero-point temperature?

Two thermometers are calibrated, one in degrees Celsius and the other in degrees Fahrenheit. At what temperature (in kelvins) do their readings measure the same temperature?

A child has a temperature of 104°F. What is the temperature in degrees kelvin?

In order to understand the concept of temperature it is necessary to understand

A temperature difference of 5 K is equal to

An auditorium has dimensions 10 m × 10 m × 60 m. How many moles of air fill this volume at one atmosphere and 0°C?

A helium-filled balloon has a volume of 1 m³. As it rises in the earth's atmosphere, its volume expands. What will its new volume be (in m³) if its original temperature and pressure are 20°C and 1 atm, and its final temperature and pressure are −40°C and 0.1 atm?

A building made with a steel structure is 650 m high on a winter day when the temperature is 0° F. How much taller (in cm) is the building when it is 100° F? (The linear expansion coefficient of steel is 11 × 10−⁶ (°C) −¹.)

A bridge is made with segments of concrete 50 m long. If the linear expansion coefficient is 12 × 10−⁶ (°C) −¹, how much spacing (in cm) is needed to allow for expansion during an extreme temperature change of 150° F?

A gallon container is filled with gasoline. How many gallons are lost if the temperature increases by 25°F? (The volume expansion of gasoline is 9.6 × 10−⁴ (°C) −¹.) (Neglect the change in volume of the container.)

An auditorium has a volume of 6 × 10³ m³. How many molecules of air are needed to fill the auditorium at one atmosphere and 0°C?