Question 1

TV   γ\gammaγ   is constant for an ideal gas undergoing an adiabatic process, where  γ\gammaγ  is the ratio of heat capacities Cp/Cv. This is a direct consequence of:

Accepted Answer

A)   the zeroth law of thermodynamics alone
B)   the zeroth law and the ideal gas equation of state
C)   the first law of thermodynamics alone
D)   the ideal gas equation of state alone
E)   the first law and the equation of state

Question 2

A given mass of gas is enclosed in a suitable container so that it may be maintained at constant volume. Under these conditions, there can be no change is what property of the gas?

Accepted Answer

A)   Pressure
B)   Density
C)   Molecular kinetic energy
D)   Internal energy
E)   Temperature

Question 3

An ideal gas of N diatomic molecules has temperature T. If the number of molecules is doubled without changing the temperature, the internal energy increases by:

Accepted Answer

A)   0
B)   1/2NkT
C)   3/2NkT
D)   5/2NkT
E)   3NkT

Question 4

A sample of argon gas (molar mass 40 g)  is at four times the absolute temperature of a sample of hydrogen gas (molar mass 2 g) . The ratio of the rms speed of the argon molecules to that of the hydrogen is:

Accepted Answer

A)   1
B)   5
C)   1/5
D)   
E)

Question 5

If the molecules in a tank of hydrogen have the same rms speed as the molecules in a tank of oxygen, we may be sure that:

Accepted Answer

A)   the pressures are the same
B)   the hydrogen is at the higher temperature
C)   the hydrogen is at the greater pressure
D)   the temperatures are the same
E)   the oxygen is at the higher temperature E

Question 6

During a reversible adiabatic expansion of an ideal gas, which of the following is NOT true?

Accepted Answer

A)   
B)   pV = nRT
C)   
D)   W = - ∫\int∫ pdV
E)   pV = constant

Question 7

Two monatomic ideal gases are in thermal equilibrium with each other. Gas A is composed of molecules with mass m while gas B is composed of molecules with mass 4m. The ratio of the average molecular kinetic energy KA/KB is:

Accepted Answer

A)   1/4
B)   1/2
C)   1
D)   2
E)   4

Question 8

As the pressure in an ideal gas is increased isothermally the average molecular speed:

Accepted Answer

A)   increases
B)   decreases
C)   increases at high temperature, decreases at low
D)   decreases at high temperature, increases at low
E)   stays the same

Question 9

An air bubble doubles in volume as it rises from the bottom of a lake (1000 kg/m3) . Ignoring any temperature changes, the depth of the lake is:

Accepted Answer

A)   21 m
B)   0.76 m
C)   4.9 m
D)   10 m
E)   0.99 m D

Question 10

The pressures p and volumes V of the five ideal gases,with the same number of molecules, are given below. Which has the highest theperatures?

Accepted Answer

A)   p = 1 *105 Pa and V = 10cm3
B)   p = 3 *105 Pa and V = 6 cm3
C)   p = 4 * 105 Pa and V = 4 cm3
D)   p = 6 *105 Pa and V = 2 cm3
E)   p = 8 * 105 Pa and V = 2 cm3

Question 11

The specific heat at constant volume of an ideal gas depends on:

Accepted Answer

A)   the temperature
B)   the pressure
C)   the volume
D)   the number of molecules
E)   none of the above

Question 12

Which of the following changes when the pressure of an ideal gas is changed isothermally?

Accepted Answer

A)   Mean free path
B)   Root-mean-square molecular speed
C)   Internal energy
D)   Most probable kinetic energy
E)   Average speed

Question 13

The rms speed of an oxygen molecule at 0  °\degree° C is 460 m/s. If the molar mass of oxygen is 32 g and of helium is 4 g, then the rms speed of a helium molecule at 0  °\degree° C is:

Accepted Answer

A)   230 m/s
B)   326 m/s
C)   650 m/s
D)   920 m/s
E)   1300 m/s

Question 14

A sample of an ideal gas is compressed by a piston from 10 m3 to 5 m3 and simultaneously cooled from 273  °\degree° C to 0  °\degree° C. As a result there is:

Accepted Answer

A)   an increase in pressure
B)   a decrease in pressure
C)   a decrease in density
D)   no change in volume
E)   an increase in density

Question 15

An ideal diatomic gas has a molar specific heat at constant pressure, Cp, of:

Accepted Answer

A)   R
B)   3R/2
C)   5R/2
D)   7R/2
E)   9R/2

Question 16

The Maxwellian speed distribution provides a direct explanation of:

Accepted Answer

A)   thermal expansion
B)   the ideal gas law
C)   heat
D)   evaporation
E)   boiling

Question 17

An adiabatic process for an ideal gas is represented on a p-V diagram by:

Accepted Answer

A)   a horizontal line
B)   a vertical line
C)   a hyperbola
D)   a circle
E)   none of these

Question 18

The internal energy of an ideal gas depends on:

Accepted Answer

A)   the temperature only
B)   the pressure only
C)   the volume only
D)   the temperature and pressure only
E)   temperature, pressure, and volume

Question 19

Ideal monatomic gas A is composed of molecules with mass m while ideal monatomic gas B is composed of molecules with mass 4m. The average molecular energies are the same if the ratio of the temperatures TA/TB is:

Accepted Answer

A)   1/4
B)   1/2
C)   1
D)   2
E)   4 C

Question 20

The mean free path of air molecules at room temperature and atmospheric pressure is about:

Accepted Answer

A)   10-3 m
B)   10-5 m
C)   10-7 m
D)   10-9 m
E)   10-11 m

Exam 19: The Kinetic Theory of Gases

TV γ\gammaγ is constant for an ideal gas undergoing an adiabatic process, where γ\gammaγ is the ratio of heat capacities Cp/Cv. This is a direct consequence of:

Correct AnswerverifiedShow Answer

A given mass of gas is enclosed in a suitable container so that it may be maintained at constant volume. Under these conditions, there can be no change is what property of the gas?

Correct AnswerverifiedShow Answer

An ideal gas of N diatomic molecules has temperature T. If the number of molecules is doubled without changing the temperature, the internal energy increases by:

Correct AnswerverifiedShow Answer

A sample of argon gas (molar mass 40 g) is at four times the absolute temperature of a sample of hydrogen gas (molar mass 2 g) . The ratio of the rms speed of the argon molecules to that of the hydrogen is:

Correct AnswerverifiedShow Answer

If the molecules in a tank of hydrogen have the same rms speed as the molecules in a tank of oxygen, we may be sure that:

Correct AnswerverifiedE

During a reversible adiabatic expansion of an ideal gas, which of the following is NOT true?

Correct AnswerverifiedShow Answer

Two monatomic ideal gases are in thermal equilibrium with each other. Gas A is composed of molecules with mass m while gas B is composed of molecules with mass 4m. The ratio of the average molecular kinetic energy KA/KB is:

Correct AnswerverifiedShow Answer

As the pressure in an ideal gas is increased isothermally the average molecular speed:

Correct AnswerverifiedShow Answer

An air bubble doubles in volume as it rises from the bottom of a lake (1000 kg/m3) . Ignoring any temperature changes, the depth of the lake is:

Correct AnswerverifiedD

The pressures p and volumes V of the five ideal gases,with the same number of molecules, are given below. Which has the highest theperatures?

Correct AnswerverifiedShow Answer

The specific heat at constant volume of an ideal gas depends on:

Correct AnswerverifiedShow Answer

Which of the following changes when the pressure of an ideal gas is changed isothermally?

Correct AnswerverifiedShow Answer

The rms speed of an oxygen molecule at 0 °\degree° C is 460 m/s. If the molar mass of oxygen is 32 g and of helium is 4 g, then the rms speed of a helium molecule at 0 °\degree° C is:

Correct AnswerverifiedShow Answer

A sample of an ideal gas is compressed by a piston from 10 m3 to 5 m3 and simultaneously cooled from 273 °\degree° C to 0 °\degree° C. As a result there is:

Correct AnswerverifiedShow Answer

An ideal diatomic gas has a molar specific heat at constant pressure, Cp, of:

Correct AnswerverifiedShow Answer

The Maxwellian speed distribution provides a direct explanation of:

Correct AnswerverifiedShow Answer

An adiabatic process for an ideal gas is represented on a p-V diagram by:

Correct AnswerverifiedShow Answer

The internal energy of an ideal gas depends on:

Correct AnswerverifiedShow Answer

Ideal monatomic gas A is composed of molecules with mass m while ideal monatomic gas B is composed of molecules with mass 4m. The average molecular energies are the same if the ratio of the temperatures TA/TB is:

Correct AnswerverifiedC

The mean free path of air molecules at room temperature and atmospheric pressure is about:

Correct AnswerverifiedShow Answer

TV ^$\gamma$ is constant for an ideal gas undergoing an adiabatic process, where $\gamma$ is the ratio of heat capacities C_p/C_v. This is a direct consequence of:

Correct Answer
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E

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Two monatomic ideal gases are in thermal equilibrium with each other. Gas A is composed of molecules with mass m while gas B is composed of molecules with mass 4m. The ratio of the average molecular kinetic energy K_A/K_B is:

Correct Answer
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An air bubble doubles in volume as it rises from the bottom of a lake (1000 kg/m³) . Ignoring any temperature changes, the depth of the lake is:

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D

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The rms speed of an oxygen molecule at 0 $\degree$ C is 460 m/s. If the molar mass of oxygen is 32 g and of helium is 4 g, then the rms speed of a helium molecule at 0 $\degree$ C is:

Correct Answer
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A sample of an ideal gas is compressed by a piston from 10 m³ to 5 m³ and simultaneously cooled from 273 $\degree$ C to 0 $\degree$ C. As a result there is:

Correct Answer
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An ideal diatomic gas has a molar specific heat at constant pressure, C_p, of:

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Ideal monatomic gas A is composed of molecules with mass m while ideal monatomic gas B is composed of molecules with mass 4m. The average molecular energies are the same if the ratio of the temperatures T_A/T_B is:

Correct Answer
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C

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