Kinetic Theory of Gases Quiz-3

The pressure (P) and density $(\rho)$ of a given mass of a gas expressed by Boyle’s law P = C$\rho$ where C is a constant. The statement is true

In a given process the pressure of gas remains constant. The temperature of the gas is doubled. The change in volume is

The number of degrees of freedom of molecules in a gas whose molar heat capacity in 29 J/mole K in the process PT = constant will be

An ideal gas $\left(\frac{C_P}{C_V}=\gamma\right)$ is taken through a process in which pressure and volume vary as $P = aV^b$. What is value of b for which the specific heat capacity in the process is zero?

Air is pumped into an automobile tube upto a pressure of 200 kPa in the morning when the air temperature is $22^\circ C$. During the day time, temperature rises to $42^\circ C$ and the tube expands by 2% the pressure of the air in the tube now is

For a gas, if the ratio of molar specific heats at constant pressure and volume is $\gamma$, the value of degree of freedom is

A gas is filled in a cylinder and its temperature is increased by 20% on Kelvin scale and volume is reduced by 10% keeping pressure constant. The percentage of the gas that will leak out is

For an ideal gas $VP^3 =$ constant. Initial temperature and volume of the gas are T and V respectively. The gas expands to a volume 27V. The temperature of gas is

The molar-specific heat at constant pressure of an ideal gas is $\frac72 R.$. The ratio of specific heat at constant pressure to that at constant volume is

If one mole of a monoatomic gas $(\gamma=\frac53)$ is mixed with one mole of a diatomic gas $(\gamma=\frac75)$ the value of $\gamma$ for the mixture is