When an ideal diatomic gas is heated at constant pressure, the fraction of the heat energy supplied which increases the internal energy of the gas, is
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Fraction of supplied energy which increases the internal energy is given by
$f=\frac{\Delta \mathrm{U}}{(\Delta \mathrm{Q})_{\mathrm{P}}}=\frac{(\Delta \mathrm{Q})_{\mathrm{V}}}{(\Delta \mathrm{Q})_{\mathrm{P}}}=\frac{\mu \mathrm{C}_{\mathrm{V}} \Delta \mathrm{T}}{\mu \mathrm{C}_{\mathrm{P}} \Delta \mathrm{T}}=\frac{1}{\gamma}$
For diatomic gas $\gamma=\frac{7}{5} \Rightarrow f=\frac{5}{7}$
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