Behavior of Perfect Gas and Kinetic Theory

What is the approximate value of the Boltzmann constant in SI units?

In the gas equation $PV = nRT$, $R$ has the same value for:

If $V$ is the volume of 1 mole of gas, the expression $PV/T$ equals:

Which of the following is equivalent to 1 bar of pressure?

An ideal gas is compressed at constant temperature. This implies that the product $PV$:

According to the Kinetic Theory, which temperature scale must be used in the gas law equations?

The correct relationship between the pressure $P$ and kinetic energy per unit volume $E$ of an ideal gas is:

A vessel is filled with a mixture of two gases $A$ and $B$. The number of moles of $A$ is double the number of moles of $B$. If the total pressure is $12\ atm$, the partial pressure of gas $B$ is:

For a certain gas, the ratio $P/\rho T$ is $k$. If the molar mass of the gas is $M$, the constant $k$ is equal to:

The temperature of an ideal gas is increased from $27^\circ C$ to $927^\circ C$. The $rms$ velocity of the molecules becomes:

According to the kinetic theory, the pressure of a gas is due to the change in what quantity when molecules hit the walls?

The expression for the RMS speed in terms of pressure and density is:

Which of the following relates the partial pressures of non-reacting gases in a mixture?

The ratio of the average kinetic energy of Hydrogen molecules to Oxygen molecules at $300 \, K$ is:

Which of the following expressions represents the root mean square speed of a gas molecule in terms of Boltzmann constant $k$, temperature $T$, and mass of one molecule $m$?

The internal energy of an ideal gas consists entirely of:

The average speed of gas molecules is defined as the:

The total translational kinetic energy of all the molecules of Helium in a container is $1500 J$. If the same container is filled with the same number of moles of Nitrogen at the same temperature, the total translational kinetic energy will be:

The average kinetic energy of a gas molecule at $27^∘C$ is $E$. At what temperature will the average kinetic energy be $2E$?

An ideal gas is at temperature $T$. If the temperature is increased to $4T$, the factor by which the number of collisions per unit time with the walls of the container increases (assuming constant volume) is:

The ratio $\gamma = 1.67$ is characteristic of which type of gas?

Which of the following gases is most likely to have 3 degrees of freedom at room temperature?

The degrees of freedom for a triatomic linear molecule including vibration (high temp) are typically:

What is the average kinetic energy of a gas molecule with $f$ degrees of freedom at temperature $T$?

If the internal energy of a gas is given by $U = \frac{5}{2} nRT$, what is the molar specific heat at constant pressure $C_{p}$?

What is the value of the ratio $C_{p}/C_{v}$ for a gas whose molecules have 7 degrees of freedom?

What is the molar specific heat at constant volume ($C_{v}$) for a gas with $\gamma = 1.33$?

How many degrees of freedom does a rigid, non-linear molecule with $n$ atoms have if there are no vibrational modes?

A container contains 1 mole of a monoatomic gas and 2 moles of a diatomic gas. If the temperature of the mixture is increased by $10 K$ at constant volume, the total heat supplied is:

A gas molecule with 5 degrees of freedom at $300 K$ is heated to $1000 K$, where its degrees of freedom become 7. The ratio of final internal energy to initial internal energy is:

The number of degrees of freedom for a triatomic non-linear molecule is:

Which of the following is a dimensionless quantity?

If a gas has $\gamma = 5/3$, its $C_v$ value is:

In the formula $C_p - C_v = R$, the units of $R$ must be the same as:

The molar specific heat of an ideal gas at constant pressure is $C_p$. What is the heat required to raise the temperature of 'm' grams of the gas (molecular weight $M$) by $\Delta T$?

If one mole of a monatomic gas is mixed with one mole of a polyatomic gas ($f=6$), the $C_v$ of the mixture is:

For a gas having $n$ degrees of freedom, the energy per degree of freedom per molecule is:

If the molar specific heat at constant pressure for an ideal gas is $C_p = \frac{7}{2}R$, what is the value of the polytropic index $n$ for a process in which the molar heat capacity is $C = R$?

A diatomic gas molecule is not rigid and has an additional vibrational degree of freedom. If heat is supplied to it at constant volume, what is the ratio of rotational kinetic energy to the total internal energy?

The internal energy of $1$ mole of a gas is given by $U = \frac{3}{2}PV + \text{constant}$. What is the molar heat capacity at constant volume?