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(D) For a diatomic gas,the molar heat capacity at constant volume is $C_V = \frac{5}{2}R$ and at constant pressure is $C_P = \frac{7}{2}R$.When heat $

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$5/7$

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(D) For a diatomic gas,the molar heat capacity at constant volume is $C_V = \frac{5}{2}R$ and at constant pressure is $C_P = \frac{7}{2}R$.When heat $\Delta Q$ is supplied at constant pressure,the heat supplied is $\Delta Q = n C_P \Delta T$.The change in internal energy is $\Delta U = n C_V \Delta T$.The fraction of heat converted into internal energy is $\frac{\Delta U}{\Delta Q} = \frac{n C_V \Delta T}{n C_P \Delta T} = \frac{C_V}{C_P}$.Substituting the values,we get $\frac{\Delta U}{\Delta Q} = \frac{5/2 R}{7/2 R} = \frac{5}{7}$.

When heat is supplied to a diatomic gas,it expands at constant pressure. What fraction of the heat supplied is converted into internal energy?

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