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In the cyclic process shown on the P-V d...

In the cyclic process shown on the P-V diagram the magnitude of the work done is :

A

`((P_(2)-P_(1))/(2))^2`

B

`pi ((V_(2)-V_(1))/(2))^2`

C

`pi/4 (P_(2)-P_(1)) (V_(2)-V_(1))`

D

`pi (P_(2) V_(2)-P_(1)V_(1))`

Text Solution

Verified by Experts

The correct Answer is:
C
W.D. `=pi xx" Pressure Radius "xx " volume Radius an ellipse"`
`W=pi ((P_(2)-P_(1))/(2)) ((V_(2)-V_(1))/(2))=pi/4 (P_(2)-P_(1)) (V_(1)+V_(2))`
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