Thermodynamic processes

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Question

An ideal gas is taken through the cycle $A \to B \to C \to A$ , as shown in Fig. If the net heat supplied to the gas in the cycle 15J, the work done by the gas in the process $C \to A$ is _____ J.

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Solution

From given information $P_{C} = 70 N m^{- 2}$
$∴$ work done $= \frac{- 1}{2} (70 + 100) \times 1 = - 85 J$
Alternative method :
dQ= du $+$ dw in cyclic process du=0
dQ= dw dw= work done in AB +Work done in BC+work done in CA
15= 100( 2-1) + 0 +Work done in CA
$W_{C A} = - 85 j o u l e$

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