The equation of a certain gas can be written as: $\left( \frac{T^7}{P^2} \right)^{1/5} = \text{constant}$. The specific heat at constant volume of this gas is (in $\text{J/mol K}$): (in $R$)

The ratio of the adiabatic to isothermal elasticities of a triatomic (non-linear) gas is

The quantity of heat required to raise the temperature of one mole of a monoatomic gas by one degree Kelvin at constant volume is

$A$ cylinder of fixed capacity $67.2 \text{ litres}$ contains helium gas at $STP$. The amount of heat needed to raise the temperature of the gas in the cylinder by $20^{\circ} C$ is: (in $\text{ J}$)

For a gas,the difference between the two specific heats is $4150 \ J \ kg^{-1} \ K^{-1}$ and the ratio of the two specific heats is $1.4$. What is the specific heat of the gas at constant volume in units of $J \ kg^{-1} \ K^{-1}$?

The molar specific heat of an ideal gas at constant pressure and constant volume is $C_{p}$ and $C_{V}$ respectively. If $R$ is the universal gas constant and the ratio of $C_{p}$ to $C_{V}$ is $\gamma$,then $C_{p}$ is equal to: