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(D) For a diatomic gas,the degrees of freedom $f = 5$.The molar heat capacity at constant volume is $C_v = \frac{f}{2}R = \frac{5}{2}R$.The molar heat

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$5/7$

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(D) For a diatomic gas,the degrees of freedom $f = 5$.The molar heat capacity at constant volume is $C_v = \frac{f}{2}R = \frac{5}{2}R$.The molar heat capacity at constant pressure is $C_p = C_v + R = \frac{7}{2}R$.The heat supplied at constant pressure is $\Delta Q_p = n C_p \Delta T$.The change in internal energy is $\Delta U = n C_v \Delta T$.The fraction of heat converted into internal energy is $\frac{\Delta U}{\Delta Q_p} = \frac{n C_v \Delta T}{n C_p \Delta T} = \frac{C_v}{C_p} = \frac{5/2 R}{7/2 R} = \frac{5}{7}$.

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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