At constant pressure how much fraction of heat supplied to gas is converted into mechanical work?
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By $FLOT$ $W=Q-\Delta V$
at constant pressure $Q=n C_{p} \Delta T$
$\Delta \mathrm{U}=\mathrm{nC}_{\mathrm{v}} \Delta \mathrm{T}$
$\Rightarrow \frac{W}{Q}=\frac{n \Delta T\left(C_{p}-C_{V}\right)}{n C_{p} \Delta T}=\frac{C_{p}-C_{V}}{C_{p}}=\frac{\gamma}{\gamma-1}$
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