Question 1

Which of the following best describes the difference between temperature and heat in thermodynamics?

Accepted Answer

Temperature is a measure of the average kinetic energy of particles, while heat is energy transferred between systems due to a temperature difference.

Question 2

A gas in a sealed, rigid container is heated from 300 K to 600 K. According to the ideal gas law, what happens to the pressure inside the container?

Accepted Answer

The pressure doubles.

Question 3

Which equation correctly expresses the ideal gas law?

Accepted Answer

$$pV = nRT$$

Question 4

In an automobile engine, a gas is compressed from an initial volume $$V_1 to a $$final volume $$V_2$$ = $$V_1/9$ at constant mass. If the initial temperature is T_1$ = 300\ \mathrm{K}$$, initial pressure $$p_1 = 1.00$$\ \mathrm{atm}$$, and final pressure p_2$ = 21.7\ \mathrm{atm}$$, what is the final temperature $$T_2$$?

Accepted Answer

$$T_2 = 723$$\ \mathrm{K}$$

Question 5

Which of the following is NOT an assumption of the kinetic-molecular model of an ideal gas?

Accepted Answer

Molecules exert attractive forces on each other.

Question 6

The van der Waals equation modifies the ideal gas law to account for which two real-gas effects?

Accepted Answer

Molecular volume and intermolecular attractions

Question 7

What is the value of the universal gas constant $$R$$?

Accepted Answer

$$R = 8.314\ \mathrm{J/(mol\cdot K)}$$

Question 8

Which formula gives the density $$\rho of an $$ideal gas in terms of pressure $$p$$, molar mass $$M$$, temperature $$T$$, and the gas constant $$R$$?

Accepted Answer

$$\rho = \dfrac{pM}{RT}$$

Question 9

The mean free path of a gas molecule is most directly affected by which of the following?

Accepted Answer

The number density of molecules and the size of the molecules

Question 10

According to the kinetic-molecular theory, what is the average translational kinetic energy of a single ideal-gas molecule at temperature $$T$$?

Accepted Answer

$$\dfrac{3}{2}kT$$

Question 11

Which of the following best describes the Maxwell-Boltzmann distribution?

Accepted Answer

It gives the probability distribution of molecular speeds in a gas.

Question 12

A phase diagram plots which two variables to show the conditions for phase equilibrium?

Accepted Answer

Pressure and temperature

Question 13

Which of the following is true for the root-mean-square (rms) speed $$v_{\mathrm{rms}} of $$molecules in an ideal gas?

Accepted Answer

$$v_{\mathrm{rms}}$$ increases with increasing temperature.

Question 14

Which equation describes the variation of atmospheric pressure with elevation $$y in $$the Earth's atmosphere, assuming constant temperature?

Accepted Answer

$$\dfrac{p_2$}{p_1$} = e$$^{-\frac{Mg(y_2-y_1)}$${RT}}$$

Question 15

For a monatomic ideal gas, what is the molar heat capacity at constant volume $$C_V$$?

Accepted Answer

$$C_V = \dfrac{3}{2}R$$

Question 16

Which of the following statements about phase transitions is correct?

Accepted Answer

A phase transition occurs at a specific temperature for a given pressure.

Question 17

If the number of moles of a gas is doubled while keeping pressure and temperature constant, what happens to the volume?

Accepted Answer

The volume doubles.

Question 18

Which of the following best explains why real gases deviate from ideal gas behavior at high pressures?

Accepted Answer

Molecular volumes and intermolecular forces become significant.

Question 19

According to the equipartition of energy principle, how much energy is associated with each degree of freedom for a molecule at temperature $$T$$?

Accepted Answer

$$\dfrac{1}{2}kT$$

Thermal Properties of Matter and the Kinetic Theory of Gases

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