A cyclic process for $1\,mole$ of an ideal gas is shown. Find work done in $AB, BC$ and $CA$ respectively
Diffcult
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$(\mathrm{AB}) \Rightarrow \mathrm{V}=\mathrm{constant}$
$\mathrm{W}_{\mathrm{AB}}=0$
$(\mathrm{BC}) \Rightarrow \mathrm{T}=\mathrm{constant}$
$\mathrm{W}=\mathrm{nRT} \ell n \left(\frac{\mathrm{V}_{2}}{\mathrm{V}_{1}}\right)$
$=\operatorname{RT} \ell n \left(\frac{V_{2}}{V_{1}}\right)$
$(\mathrm{CA}) \Rightarrow \mathrm{P}=\mathrm{constant}$
$\mathrm{W}=\mu \mathrm{R} \Delta \mathrm{T}$
$=\mathrm{P}_{1} \mathrm{V}_{1}-\mathrm{P}_{2} \mathrm{V}_{2}$
$=\mathrm{P}_{1}\left(\mathrm{V}_{1}-\mathrm{V}_{2}\right)$
$=\frac{\mathrm{RT}_{1}}{\mathrm{V}_{1}}\left(\mathrm{V}_{1}-\mathrm{V}_{2}\right)$
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