An ideal gas is taken through the cycle $A → B → C → A$, as shown in the figure. If the net heat supplied to the gas in the cycle is $5 \ J$, the work done by the gas in the process $C → A$ is ....... $J$
Diffcult
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(a) For cyclic process. Total work done $ = {W_{AB}} + {W_{BC}} + {W_{CA}}$
$\Delta W_{AB} = P \Delta V = 10(2 -1) = 10J$ and $\Delta W_{BC} =0$ (as $ V = $ constant)
From FLOT, $\Delta Q = \Delta U + \Delta W \Delta U = 0$ (Process $ABCA$ is cyclic)
==> $\Delta Q = \Delta W_{AB} + \Delta W_{BC} + \Delta W_{CA}$
==> $5 = 10 + 0 + \Delta W_{CA}$ ==> $\Delta W_{CA} = -5 J$
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