To an ideal triatomic gas $800 \,cal$ heat energy is given at constant pressure. If vibrational mode is neglected,then energy used by gas in work done against surroundings is ......... $cal$.

For a monoatomic ideal gas,the universal gas constant $R$ is $n$ times the molar heat capacity at constant pressure $C_P$. Here,$n$ is ......

$40 \, \text{calories}$ of heat is needed to raise the temperature of $1 \, \text{mole}$ of an ideal monoatomic gas from $20^{\circ}C$ to $30^{\circ}C$ at a constant pressure. The amount of heat required to raise its temperature over the same interval at a constant volume $(R = 2 \, \text{cal} \, \text{mol}^{-1} \text{K}^{-1})$ is ..... $\text{calories}$.

Which of the following statements is correct regarding the molar specific heat of $1$ mole of an ideal gas at constant pressure $(C_P)$ and constant volume $(C_V)$?

$c_P$ and $c_V$ are specific heats at constant pressure and constant volume respectively. It is observed that
$c_P - c_V = a$ for hydrogen gas
$c_P - c_V = b$ for nitrogen gas
The correct relation between $a$ and $b$ is

Which of the following statements is correct?