Question 1

Evidence that a gas consists mostly of empty space is the fact that:

Accepted Answer

A)   the density of a gas becomes much greater when it is liquefied
B)   gases exert pressure on the walls of their containers
C)   gases are transparent
D)   heating a gas increases the molecular motion
E)   nature abhors a vacuum

Question 2

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)   160 m/s
B)   330 m/s
C)   650 m/s
D)   1300 m/s
E)   3700 m/s

Question 3

A real gas undergoes a process which can be represented as a curve on a p-V diagram. This curve is an isotherm if:

Accepted Answer

A)   the volume of the gas does not change
B)   the temperature of the gas does not change
C)   the pressure of the gas does not change
D)   the gas does no work on its environment
E)   the gas exchanges no heat with its environment

Question 4

Two ideal gases, each consisting of N monatomic molecules, are in thermal equilibrium with each other and equilibrium is maintained as the temperature is increased. A molecule of the first gas has mass m and a molecule of the second has mass 4m. The ratio of the internal energies E4m/Em is:

Accepted Answer

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

Question 5

Oxygen has a molar mass of 32 g/mol. If 12 moles of oxygen are in a 0.1-m3 container with an rms speed of 480 m/s, what is the pressure of the gas?

Accepted Answer

A)   2.9 x 105 Pa
B)   2.1 x 106 Pa
C)   3.4 x 107 Pa
D)   2.9 x 108 Pa
E)   2.1 x 109 Pa

Question 6

According to the Maxwellian speed distribution, as the temperature increases the most probable speed:

Accepted Answer

A)   increases
B)   decreases
C)   increases at high temperatures and decreases at low
D)   decreases at high temperatures and increases at low
E)   stays the same

Question 7

Two ideal monatomic 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 speeds vA/vB is:

Accepted Answer

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

Question 8

The number of degrees of freedom of a triatomic molecule is:

Accepted Answer

A)   1
B)   3
C)   6
D)   8
E)   9

Question 9

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

Question 10

When an ideal gas undergoes a slow isothermal expansion:

Accepted Answer

A)   the work done by the gas is the same as the energy absorbed as heat
B)   the work done by the environment is the same as the energy absorbed as heat
C)   the increase in internal energy is the same as the heat absorbed
D)   the increase in internal energy is the same as the work done by the gas
E)   the increase in internal energy is the same as the work done by the environment

Question 11

Energy transferred into an ideal gas as heat:

Accepted Answer

A)   goes entirely into the internal energy of the gas
B)   goes entirely into doing work to expand the gas
C)   goes entirely into the internal energy of the gas only if the pressure is constant
D)   goes entirely into the internal energy of the gas only if the temperature is constant
E)   goes entirely into the internal energy of the gas only if the volume is constant

Question 12

What is the relationship between the ideal gas constant R and the Boltzmann constant k?

Accepted Answer

A)   R = nk/N
B)   R = Nk/n
C)   R = n/Nk
D)   R = N/nk
E)   depends on the molar specific heat of the gas

Question 13

Both the pressure and volume of an ideal gas of diatomic molecules are doubled. The ratio of the new internal energy to the old both measured relative to the internal energy at 0 K is:

Accepted Answer

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

Question 14

The pressure of an ideal gas is doubled during a process in which the energy given up as heat by the gas equals the work done on the gas. As a result, the volume is:

Accepted Answer

A)   doubled
B)   halved
C)   unchanged
D)   need more information to answer
E)   nonsense, the process is impossible

Question 15

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 16

A quantity of an ideal gas is compressed to half its initial volume. The process may be adiabatic, isothermal or occurring at constant pressure. Rank those three processes in order of the work required of an external agent, least to greatest.

Accepted Answer

A)   adiabatic, isothermal, constant pressure
B)   adiabatic, constant pressure, isothermal
C)   isothermal, adiabatic, constant pressure
D)   constant pressure, adiabatic, isothermal
E)   constant pressure, isothermal, adiabatic

Question 17

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 in what property of the gas?

Accepted Answer

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

Question 18

A real gas undergoes a process which can be represented as a curve on a p-V diagram. The work done by the gas during this process is:

Accepted Answer

A)   pV
B)   p(V2 - V1) 
C)   (p2 - p1) V
D)   ∫\int∫ p dV
E)   V dp

Question 19

The average speeds v and molecular diameters d of five ideal gases are given below. The number of molecules per unit volume is the same for all of them. For which is the collision rate the greatest?

Accepted Answer

A)   v = v0 and d = d0
B)   v = 2v0 and d = d0/2
C)   v = 3v0 and d = d0
D)   v = v0 and d = 2d0
E)   v = 4v0 and d = d0/2

Question 20

It is known that 28 grams of a certain ideal gas occupy 22.4 liters at standard conditions (0  °\degree° C, 1 atm) . The volume occupied by 42 grams of this gas at standard conditions is:

Accepted Answer

A)   14.9 liters
B)   22.4 liters
C)   33.6 liters
D)   42 liters
E)   more data are needed

Exam 19: The Kinetic Theory of Gases

A quantity of an ideal gas is compressed to half its initial volume. The process may be adiabatic, isothermal or occurring at constant pressure. Rank those three processes in order of the work required of an external agent, least to greatest.

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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:

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Energy transferred into an ideal gas as heat:

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A real gas undergoes a process which can be represented as a curve on a p-V diagram. This curve is an isotherm if:

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Two ideal monatomic 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 speeds vA/vB is:

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The average speeds v and molecular diameters d of five ideal gases are given below. The number of molecules per unit volume is the same for all of them. For which is the collision rate the greatest?

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What is the relationship between the ideal gas constant R and the Boltzmann constant k?

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According to the Maxwellian speed distribution, as the temperature increases the most probable speed:

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When an ideal gas undergoes a slow isothermal expansion:

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Two ideal gases, each consisting of N monatomic molecules, are in thermal equilibrium with each other and equilibrium is maintained as the temperature is increased. A molecule of the first gas has mass m and a molecule of the second has mass 4m. The ratio of the internal energies E4m/Em is:

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

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It is known that 28 grams of a certain ideal gas occupy 22.4 liters at standard conditions (0 °\degree° C, 1 atm) . The volume occupied by 42 grams of this gas at standard conditions is:

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 in what property of the gas?

Correct AnswerverifiedShow Answer

Oxygen has a molar mass of 32 g/mol. If 12 moles of oxygen are in a 0.1-m3 container with an rms speed of 480 m/s, what is the pressure of the gas?

Correct AnswerverifiedShow Answer

The pressure of an ideal gas is doubled during a process in which the energy given up as heat by the gas equals the work done on the gas. As a result, the volume is:

Correct AnswerverifiedShow Answer

The number of degrees of freedom of a triatomic molecule is:

Correct AnswerverifiedShow Answer

The Maxwellian speed distribution provides a direct explanation of:

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Both the pressure and volume of an ideal gas of diatomic molecules are doubled. The ratio of the new internal energy to the old both measured relative to the internal energy at 0 K is:

Correct AnswerverifiedShow Answer

Evidence that a gas consists mostly of empty space is the fact that:

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A real gas undergoes a process which can be represented as a curve on a p-V diagram. The work done by the gas during this process is:

Correct AnswerverifiedShow Answer

Correct Answer
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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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Two ideal monatomic 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 speeds v_A/v_B is:

Correct Answer
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Two ideal gases, each consisting of N monatomic molecules, are in thermal equilibrium with each other and equilibrium is maintained as the temperature is increased. A molecule of the first gas has mass m and a molecule of the second has mass 4m. The ratio of the internal energies E₄_m/E_m is:

Correct Answer
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Correct Answer
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It is known that 28 grams of a certain ideal gas occupy 22.4 liters at standard conditions (0 $\degree$ C, 1 atm) . The volume occupied by 42 grams of this gas at standard conditions is:

Correct Answer
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Correct Answer
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Oxygen has a molar mass of 32 g/mol. If 12 moles of oxygen are in a 0.1-m³ container with an rms speed of 480 m/s, what is the pressure of the gas?

Correct Answer
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Correct Answer
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