The heat required to raise the temperature of $5$ moles of $O_2$ from $10\,^{\circ}C$ to $20\,^{\circ}C$ at constant volume is ....... $cal$. Given: $C_p = 7.2\,cal/mol/^{\circ}C$ and $R = 2\,cal/mol/^{\circ}C$.

The molar specific heat of a monoatomic gas at constant pressure is (Universal gas constant $R = 8.3 \,J \,mol^{-1} \,K^{-1}$)

$Assertion :$ The ratio of $\frac{C_p}{C_v}$ for an ideal diatomic gas is less than that for an ideal monoatomic gas (where $C_p$ and $C_v$ have usual meaning).
$Reason :$ The atoms of a monoatomic gas have less degrees of freedom as compared to molecules of the diatomic gas.

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:

The specific heat of a gas at constant volume is $21.2 \, J/mol/^{\circ}C$. If the temperature is increased by $1^{\circ}C$ keeping the volume constant,the change in its internal energy will be ...... $J$.

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