A sample of ideal gas $(\gamma = 1.4)$ is heated at constant pressure. If an $100\, J$ is supplied to gas, the work done by the gas is ...... $J$
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At constant pressure
$\mathrm{W}=\mathrm{P} \Delta \mathrm{V}=\mathrm{n} \mathrm{R} \Delta \mathrm{T}$
But $Q=n C_{p} \Delta T=n \frac{\gamma R}{r-1}$
$\Rightarrow \quad W=Q\left(\frac{\gamma-1}{r}\right)=100\left(\frac{1.4-1}{1.4}\right)=28.57 \mathrm{J}$
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