Work done in the given P-V diagram in the cyc | vedclass

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(A) The work done in a cyclic process is equal to the area enclosed by the $P-V$ diagram.The shape of the cycle is a rectangle with vertices at $(P, V

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$PV$

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(A) The work done in a cyclic process is equal to the area enclosed by the $P-V$ diagram.The shape of the cycle is a rectangle with vertices at $(P, V)$,$(2P, V)$,$(2P, 2V)$,and $(P, 2V)$.The width of the rectangle along the $V$-axis is $\Delta V = 2V - V = V$.The height of the rectangle along the $P$-axis is $\Delta P = 2P - P = P$.Therefore,the work done $W = 	ext{Area} = \Delta P 	imes \Delta V = P 	imes V = PV$.

Work done in the given $P-V$ diagram in the cyclic process is

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