Carnot heat engine works with an ideal diatomic gas and an adiabatic volume expansion ratio $32$ . Then its efficiency is ....... $\%$
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$\mathrm{T}_{1} \mathrm{V}^{\gamma-1}=\mathrm{T}_{2}(32 \mathrm{V})^{\gamma-1}$
$\gamma-1=\frac{2}{5}$
$\mathrm{T}_{1} \mathrm{V}^{2 / 5}=\mathrm{T}_{2}(32 \mathrm{V})^{2 / 5}$
$\frac{\mathrm{T}_{1}}{\mathrm{T}_{2}}=4$
$\eta=1-\frac{T_{2}}{T_{1}}=\frac{3}{4} \times 100=75 \%$
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