$A$ certain amount of an ideal monatomic gas needs $20 \, J$ of heat energy to raise its temperature by $10^{\circ} C$ at constant pressure. The heat needed for the same temperature rise at constant volume will be ........ $J$.

The ratio of specific heats $(\gamma)$ of an ideal gas is given by

What is molar specific heat? Write its unit and also definitions of molar specific heat at constant pressure and constant volume.

$Assertion:$ At a given temperature,the specific heat of a gas at constant pressure $(C_p)$ is always greater than its specific heat at constant volume $(C_v)$.
$Reason:$ When a gas is heated at constant volume,some extra heat is needed compared to that at constant pressure for doing work in expansion.

If for a gas $\frac{R}{C_V} = 0.67$,then the gas is .......

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