A real gas within a closed chamber at 2 7 ∘ C undergoes the cyclic process as shown in figure. The gas obeys P V 3 = RT equation for the path A to B . The net work done in the complete cycle is (assum

Question

A real gas within a closed chamber at 2 7 ∘ C undergoes the cyclic process as shown in figure. The gas obeys P V 3 = RT equation for the path A to B . The net work done in the complete cycle is (assuming R = 8 J / mol K ):

TestHub · Accepted Answer

W AB ​ = ∫ PdV (Assuming T to be constant) ​ = ∫ V 3 RTdV ​ = RT ∫ 2 4 ​ V − 3 dV = 8 × 300 × ( − 2 1 ​ [ 4 2 1 ​ − 2 2 1 ​ ] ) = 225 J ​ ​ W BC ​ = P ∫ 4 2 ​ dV = 10 ( 2 − 4 ) = − 20 J W CA ​ = 0 ∴ W cycle ​ = 205 J ​

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