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

Options

A. `pi((P_1-P_2)/(2))^2`
B. `pi((V_1-V_2)/(2))^2`
C. `(pi)/(4)(P_2-P_1)(V_2-V_1)`
D. `pi(P_2V_2-P_1V_1)`

Answer

C

Explanation

`DeltaW_(cyclic)=-pi((P_2-P_1)/(2))((V_2-V_1)/(2))`
`=-(pi)/(4)(P_2-P_1)(V_2-V_1)`