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 $R = 2\,cal/mol/^{\circ}C$.

$5 \ \text{moles}$ of an unknown gas is heated at constant volume from $10^\circ \text{C}$ to $20^\circ \text{C}$. The molar specific heat of this gas at constant pressure is $c_p = 8 \ \text{cal/mol} \cdot ^\circ \text{C}$ and the gas constant is $R = 8.36 \ \text{J/mol} \cdot ^\circ \text{C}$. The change in the internal energy of the gas is . . . . . . calorie.

The correct relation between the degree of freedom $f$ and the ratio of specific heat $\gamma$ is

What is the ratio of specific heats at constant pressure and constant volume for $NH_3$?

If $\frac{R}{C_v} = 0.67$,identify the gas.

$A$ cylinder of fixed capacity of $44.8 \, L$ contains helium gas at standard temperature and pressure. The amount of heat needed to raise the temperature of the gas in the cylinder by $20.0^{\circ} C$ will be .............. $J$ (Given gas constant $R = 8.3 \, J \, K^{-1} \, mol^{-1}$).