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$A$ diatomic gas $(\gamma = 1.4)$ does $200 \,J$ of work when it is expanded isobarically. The heat given to the gas in the process is: (in $\,J$)

$0.08 \text{ kg}$ 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 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].

When $1 \, mol$ of nitrogen gas is heated at constant pressure at room temperature,it is supplied with $1163.4 \, J$ of energy. The increase in temperature is ....... $K$ $(R = 8.31 \, J \, mol^{-1} \, K^{-1})$.

In an isobaric process of an ideal gas,the ratio of work done by the system to the heat supplied $\left(\frac{W}{Q}\right)$ is

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