Exam 21: The Kinetic Theory of Gases

If the total translational kinetic energy of the molecules of oxygen in a container is 15 J at room temperature, what is the total rotational kinetic energy of these molecules?

The specific heat of an ideal gas at constant pressure is greater than the specific heat of an ideal gas at constant volume because:

Nitrogen gas is heated by a pulsed laser to 50°000 K. If the diameter of the nitrogen atoms is assumed to be 1.0 * 10-10 m, and the pressure is 1.0 atm, what is the mean free path?

An ideal gas is allowed to expand adiabatically until its volume increases by 50%. By approximately what factor is the pressure reduced? ( $\gamma$ = 5/3.)

The molar specific heat at constant volume at 0 $\degree$ C of an ideal monatomic gas is:

The root mean square speed of a gas molecule is greater than the average speed, because the former gives a greater weight to:

The average kinetic energy of a nitrogen molecule at room temperature (20 $\degree$ C) is:

A container having a volume of 1.0 m3 holds 5.0 moles of helium gas at 50 $\degree$ C. If the helium behaves like an ideal gas, the average kinetic energy per molecule is:

The internal energy of n moles of an ideal gas depends on:

Two tanks of gas, one of hydrogen, H2, and one of helium, He, contain equal numbers of moles of gas. The gram-molecular mass of He is twice that of H2. Both tanks of gas are at the same temperature, 293 K. Which statement(s) below is(are) correct when we ignore vibrational motion?

The temperature of a quantity of an ideal gas is:

Which statement below is NOT an assumption made in the molecular model of an ideal gas?

When we say that the speed of sound is measured under adiabatic conditions we assume that:

During the volcanic eruption of Mt Pelee in 1902, an incredibly hot 'burning cloud' rolled down the mountain and incinerated the town of Saint-Pierre. From the damage done, the temperature in the cloud was estimated at 700 $\degree$ C. If the air temperature was 20 $\degree$ C and a mole of air is 29 grams, estimate the molecular weight of the gas in the 'burning cloud' that made it heavier than the surrounding air. (As a follow-on, estimate the most probable composition of the cloud. Some typical volcanic gases are H₂S, SO₂, H₂SO₄, CO₂, NO.)

If CP for an ideal gas is 35.4 J/mol.K, which of the following is CV for this gas?

The molar specific heat at constant volume at 0 $\degree$ C of an ideal diatomic gas is:

The theorem of equipartition of energy states that the energy each degree of freedom contributes to each molecule in the system (an ideal gas) is:

Two tanks of gas, one of hydrogen, H2, and one of helium, He, contain equal masses of gas. The gram-molecular mass of He is twice that of H2. Both tanks of gas are at the same temperature, 293 K. Which statement(s) below is(are) correct when we ignore vibrational motion?

Assume molecules have an average diameter of 3.00 * 10-10 m. How many times larger is the mean free path than the diameter at one atmosphere and 0 $\gamma$ C?

Find the specific heat (in J/mole K) of a gas kept at constant volume when it takes 1.0 *104 J of heat to raise the temperature of 5.0 moles of the gas 200 K above the initial temperature.