Find the work done in the cyclic process ABCA | vedclass

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(A) The work done in a cyclic process on a $P-V$ diagram is equal to the area enclosed by the cycle.The process $ABCA$ forms a right-angled triangle w

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$2PV$

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(A) The work done in a cyclic process on a $P-V$ diagram is equal to the area enclosed by the cycle.The process $ABCA$ forms a right-angled triangle with vertices at $A(P, V)$,$B(3P, 3V)$,and $C(P, 3V)$.The base of the triangle is $AC$,which represents the change in volume: $\Delta V = 3V - V = 2V$.The height of the triangle is $BC$,which represents the change in pressure: $\Delta P = 3P - P = 2P$.The area of the triangle is given by: $W = \frac{1}{2} 	imes 	ext{base} 	imes 	ext{height}$.$W = \frac{1}{2} 	imes (2V) 	imes (2P) = 2PV$.Since the cycle is traversed in a clockwise direction,the work done is positive.

Find the work done in the cyclic process $ABCA$ shown in the figure.

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