$A$ gas expands by $0.25 \, m^3$ at a constant pressure of $10^3 \, N/m^2$. The work done is:

$0.08 \text{ kg}$ of air is heated at constant volume through $5^{\circ} \text{C}$. The specific heat of air at constant volume is $0.17 \text{ kcal/kg}^{\circ} \text{C}$ and $J = 4.18 \text{ J/cal}$. The change in its internal energy is approximately: (in $\text{ J}$)

The ratio of work done by an ideal monoatomic gas to the heat supplied to it in an isobaric process is

The pressure $P$ of an ideal diatomic gas varies with its absolute temperature $T$ as shown in the figure. The molar heat capacity of the gas during this process is ........... $R$ [$R$ is the gas constant].

If $R$ is the universal gas constant,the amount of heat needed to raise the temperature of $2$ moles of an ideal monoatomic gas from $273 \ K$ to $373 \ K$ when no work is done is: (in $R$)

The work done by a gas is maximum when it expands from a volume $V_1$ to $V_2$. This expansion is: