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

Options

A. `pi((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(V_(2)-V_(1))^(2)`

Answer

C

Explanation

Process direction in `V-P` diagram is clockwise so, process direction in `P-V` diagram is anti-clockwise. Net work done on the system`=` Area of the ellipse `=pixx((P_(2)-P_(1)))/(2)((V_(2)-V_(1)))/(2)`