# Quiz 16: A Macroscopic Description of Matter

Physics & Astronomy

29

All Questions

25

Multiple Choice

0

True False

2

Essay

2

Short Answer

0

Not Answered

Q 1

A fixed amount of ideal gas is held in a rigid container that expands negligibly when heated. At 20°C the gas pressure is p. If we add enough heat to increase the temperature from 20°C to 40°C, the pressure will be
A) impossible to determine since we do not know the number of moles of gas in the container.
B) greater than 2p.
C) less than 2p.
D) equal to 2p.
E) impossible to determine since we do not know the volume of gas in the container.

Free

Multiple Choice

C

Q 2

For a fixed amount of gas, if the absolute temperature of the gas is doubled, what happens to the pressure of the gas?
A) The answer cannot be determined without volume information.
B) The pressure of the gas becomes double the original pressure.
C) The pressure of the gas becomes eight times the original pressure.
D) The pressure of the gas becomes one half the original pressure.
E) The pressure of the gas becomes four times the original pressure.

Free

Multiple Choice

A

Q 3

The number of molecules in one mole of a substance
A) depends on the molecular weight of the substance.
B) depends on the atomic weight of the substance.
C) depends on the density of the substance.
D) depends on the temperature of the substance.
E) is the same for all substances.

Free

Multiple Choice

E

Q 4

Which contains more moles of material: 80 grams of helium gas (He, having atomic weight 4.0 g/mol) or 400 grams of argon gas (Ar, having atomic weight 40 g/mol)?
A) helium
B) argon
C) Both contain the same number of moles.

Multiple Choice

Q 5

(a) Internal human body temperature is often stated to be normal at 98.6°F. What is this temperature on the Celsius and Kelvin scales?
(b) Gallium boils at 2205°C. What is the corresponding temperature in the Fahrenheit and Kelvin scales?
(c) The boiling point of liquid nitrogen is 77.0 K. What is the corresponding temperature in the Fahrenheit and Celsius scales?

Essay

Q 6

2.0 L of a ideal nitrogen gas (N

_{2}) are at 0.00°C and 1.0 atm. The ideal gas constant is R = 8.314 J/mol · K = 0.0821 L ∙ atm/mol ∙ K, Avogadro's number is 6.022 × 10^{23}molecules/mol, and the ATOMIC mass of nitrogen is 14 g/mol. (a) Determine the number of moles of N_{2}. (b) How many molecules of N_{2}are present? (c) What is the mass of this gas? Essay

Q 7

If a certain sample of an ideal gas has a temperature of 109°C and exerts a pressure of 1.2 x 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 8.314 J/mol · K and Avogadro's number is 6.022 × 10^{23}molecules/mol. Short Answer

Q 8

A vertical tube that is closed at the upper end and open at the lower end contains an air pocket. The open end of the tube is under the water of a lake, as shown in the figure. When the lower end of the tube is just under the surface of the lake, where the temperature is 37°C and the pressure is 1.0 × 10

^{5}Pa, the air pocket occupies a volume of 630 cm^{3}. Suppose now that the lower end of the tube is at a depth of 86 m in the lake, where the temperature is 7.0°C. What is the volume of the air pocket under these conditions? The density of the water in the lake is 1000 kg/m^{3}. Short Answer

Q 9

A sealed 89-m

^{3}tank is filled with 6000 moles of oxygen gas (O_{2}) at an initial temperature of 270 K. The gas is heated to a final temperature of 350 K. The ATOMIC mass of oxygen is 16.0 g/mol, and the ideal gas constant is R = 8.314 J/mol · K = 0.0821 L · atm/mol · K. The initial pressure of the gas is closest to A) 0.15 MPa. B) 0.17 MPa. C) 0.19 MPa. D) 0.13 MPa. E) 0.11 MPa. Multiple Choice

Q 10

A sealed 26- m

^{3}tank is filled with 2000 moles of 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, and the ideal gas constant is R = 8.314 J/mol · K = 0.0821 L · atm/mol · K. The final pressure of the gas is closest to A) 0.29 MPa. B) 0.31 MPa. C) 0.33 MPa. D) 0.34 MPa. E) 0.36 MPa. Multiple Choice

Q 11

A 3.2-L volume of neon gas (Ne) is at a pressure of 3.3 atm and a temperature of 330 K. The atomic mass of neon is 20.2 g/mol, Avogadro's number is 6.022 × 10

^{23}molecules/mol, and the ideal gas constant is R = 8.314 J/mol · K = 0.0821 L · atm/mol · K. The mass of the neon gas is closest to A) 7.9 × 10^{-3}kg. B) 4.6 × 10^{-3}kg. C) 3.8 kg. D) 7.8 kg. E) 7.8 × 10^{2}kg. Multiple Choice

Q 12

A weather balloon contains 12.0 m

^{3}of hydrogen gas when the balloon is released from a location at which the temperature is 22.0°C and the pressure is 101 kPa. The balloon rises to a location where the temperature is -30.0°C and the pressure is 20.0 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? Assume that in both cases the hydrogen gas is in thermal equilibrium with the outside air. A) 14.0 m^{3}B) 2.38 m^{3}C) 49.9 m^{3}D) 82.6 m^{3}E) 4.16 m^{3} Multiple Choice

Q 13

A sealed container holds 0.020 moles of nitrogen (N

_{2}) gas, at a pressure of 1.5 atmospheres and a temperature of 290 K. The atomic mass of nitrogen is 14.0 g/mol. The Boltzmann constant is 1.38 × 10^{-23}J/K and the ideal gas constant is R = 8.314 J/mol · K = 0.0821 L · atm/mol · K. The mass density of the gas is closest to A) 0.90 kg/m^{3}. B) 1.3 kg/m^{3}. C) 1.8 kg/m^{3}. D) 2.2 kg/m^{3}. E) 2.6 kg/m^{3}. Multiple Choice

Q 14

An ideal gas is at a pressure 1.00 × 10

^{5}N/m^{2}and occupies a volume 2.00 m^{3}. If the gas is compressed to a volume 1.00 m^{3}while the temperature remains constant, what will be the new pressure in the gas? A) 0.500 × 10^{5}N/m^{2}B) 4.00 × 10^{5}N/m^{2}C) 1.00 × 10^{5}N/m^{2}D) 2.00 × 10^{5}N/m^{2}E) The answer depends on the mass of the gas particles. Multiple Choice

Q 15

Sometimes an experiment requires a certain pure gas to be used at reduced pressure. One way to achieve this is to purchase a sealed glass container filled with the gas, and to introduce the gas into a vacuum by attaching the glass container to the vacuum chamber and breaking the tip of the glass container using a metallic bean and a magnet. If the volume of the glass container is 1.0 L and it is at a pressure of 1.0 × 10

^{5}Pa and if the vacuum chamber has a volume of 2.0 L, what will the pressure be after the gas, which is to be assumed to be an ideal gas, is released into the vacuum chamber and the temperature has returned to its original value? (Note that the glass container remains part of the system.) A) 33 kPa B) 50 kPa C) 300 kPa D) 200 kPa Multiple Choice

Q 16

A bag of potato chips contains 2.00 L of air when it is sealed at sea level at a pressure of 1.00 atm and a temperature of 20.0°C. What will be the volume of the air in the bag if you take it with you, still sealed, to the mountains where the temperature is 7.00°C and atmospheric pressure is 70.0 kPa? Assume that the bag behaves like a balloon and that the air in the bag is in thermal equilibrium with the outside air. (1 atm = 1.01 × 10

^{5}Pa) A) 4.13 L B) 1.01 L C) 1.38 L D) 2.76 L Multiple Choice

Q 17

A cold trap is set up to cause molecules to linger near the suction in a vacuum system. If the cold trap has an effective volume of 0.200 L and is maintained at 13.0 K, how many molecules are in it at 10.0 Pa of pressure? (Avogadro's number is 6.022 × 10

^{23}molecules/mol, and the universal gas constant is 8.314 J/mol•K. Assume the behavior of an ideal gas.) A) 1.11 × 10^{19}molecules B) 1.10 × 10^{22}molecules C) 7.71 × 10^{20}molecules D) 7.71 × 10^{23}molecules Multiple Choice

Q 18

A hot air balloon has a volume of 2.00 × 10

^{3}m^{3}when fully inflated, and the air inside the balloon is always at atmospheric pressure of 1.01 × 10^{5}Pa because of the large opening used to fill the balloon and heat the air inside it. What is the mass of hot air inside the balloon if its temperature is 120°C? The universal gas constant is 8.314 J/mol•K. (Assume a molecular weight of 28.8 g/mol for air.) A) 1780 kg B) 5850 kg C) 203 kg D) 62.0 kg Multiple Choice

Q 19

The figure shows a 50-kg frictionless cylindrical piston that floats on 0.68 mol of compressed air at 30°C. How far does the piston move if the temperature is increased to 300°C?
A) 120 cm
B) 250 cm
C) 130 cm
D) 1300 cm

Multiple Choice

Q 20

3.00 moles of an ideal gas at a pressure of 250 kPa are held in a container of volume of 25.0 L. The ideal gas constant is R = 8.314 J/mol•K = 0.0821 L ∙ atm/mol ∙ K, and 1 atm = 1.01 x 10

^{5}Pa. The temperature of this gas is closest to A) 240°C. B) -180°C. C) 480°C. D) -1.0°C. E) -22°C. Multiple Choice

Q 21

How many moles of water (H

_{2}O) molecules are in a 4.00 m^{3}container at a pressure 8.00 × 10^{5}N/m^{2}and temperature 600°C? The ideal gas constant is R = 8.314 J/mol•K = 0.0821 L ∙ atm/mol ∙ K. A) 7.72 × 10^{26}mol B) 641 mol C) 441 mol D) 3.86 × 10^{26}mol E) 2.65 × 10^{26}mol Multiple Choice

Q 22

The interior of a refrigerator has a volume of 0.600 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? The ideal gas constant is R = 8.314 J/mol•K = 0.0821 L ∙ atm/mol ∙ K. A) 500 g B) 560 g C) 140 g D) 270 g E) 750 g Multiple Choice

Q 23

What is the mass density of argon gas at pressure 1.00 × 10

^{5}N/m^{2}and at temperature 300 K? The mean atomic mass of argon is 39.948 g/mol and the ideal gas constant is R = 8.314 J/mol•K = 0.0821 L ∙ atm/mol ∙ K. A) 1.40 kg/m^{3}B) 1.00 kg/m^{3}C) 1.20 kg/m^{3}D) 1.60 kg/m^{3}E) 1.80 kg/m^{3} Multiple Choice

Q 24

A 25-L container holds ideal hydrogen (H

_{2}) gas at a gauge pressure of 0.25 atm and a temperature of 0°C. What mass of hydrogen gas is in this container? The ATOMIC mass of hydrogen is 1.0 g/mol, the ideal gas constant is R = 8.314 J/mol•K = 0.0821 L ∙ atm/mol ∙ K, and 1.00 atm = 101 kPa. A) 1.4 g B) 2.8 g C) 4.2 g D) 5.6 g E) 6.3 g Multiple Choice

Q 25

The figure (not to scale) shows a pV diagram for 1.8 g of helium gas (He) that undergoes the process 1 → 2 → 3. Find the value of V

_{3}. The ideal gas constant is R = 8.314 J/mol ∙ K = 0.0821 L ∙ atm/mol ∙ K, and the atomic weight of helium is 4.0 g/mol. A) 17 L B) 69 L C) 34 L D) 8.6 L Multiple Choice

Q 26

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

_{2}) in a sealed container. The temperature T_{1}of the gas in state 1 is 79°C. What are (a) the pressure p_{1}of the gas in state 1 and (b) the temperature T_{2}of the gas in state 2? The ideal gas constant is R = 8.314 J/mol ∙ K = 0.0821 L ∙ atm/mol ∙ K, and the ATOMIC weight of nitrogen is 14 g/mol. A) (a) 86 atm, (b) 700°C. B) (a) 19 atm, (b) 700°C. C) (a) 86 atm, (b) 160°C. D) (a) 19 atm, (b) 160°C. Multiple Choice

Q 27

The figure shows a pV diagram for 4.3 g of oxygen gas (O

_{2}) in a sealed container. The temperature T_{1}of the gas in state 1 is 21°C. What are the temperatures T_{3}and T_{4}of the gas in states 3 and 4? The ideal gas constant is R = 8.314 J/mol ∙ K = 0.0821 L ∙ atm/mol ∙ K, and the ATOMIC weight of oxygen is 16 g/mol. A) -52°C, 390°C B) 16°C, 47°C C) 220°C, 660°C D) 11°C, 32°C Multiple Choice

Q 28

The figure shows a pV diagram for 0.95 mol of 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? The ideal gas constant is R = 8.314 J/mol ∙ K = 0.0821 L ∙ atm/mol ∙ K.
A) -160°C
B) 15°C
C) 390°C
D) 120°C

Multiple Choice

Q 29

The figure shows a pV diagram for 0.0066 mol of gas that undergoes the process 1 → 2 → 3. What is the pressure p

_{2}. The ideal gas constant is R = 8.314 J/mol ∙ K = 0.0821 L ∙ atm/mol ∙ K. A) 5.3 atm B) 5.3 × 10^{5}_{ atm}C) 16 atm D) 1.6 × 10^{6}_{ atm} Multiple Choice