Find the work done by gas going through a cyclic process shown in figure?

Options

A. `-(225 pi)/(2) kJ`
B. `-(125 pi)/(2) kJ`
C. `-(200 pi)/(3) kJ`
D. `-(325 pi)/(3) kJ`

Answer

A

Explanation

As cyclic process is in anticlockwise sense, hence work done by the gas should be negative and equal to area enclosed
`W = -(pi)/(4)(P_2-P_1)(V_2-V_1)`
`W = -(pi)/(4)(4-1)xx10^5xx(20-5)`
`=-(pi)/(4)xx3xx15xx10^(5)=-(225pi)/(2)xx10^(3)J`
`-(225pi)/(2)kJ`.