The net work done through a series of changes reported in figure for an ideal gas is

Options

A. `-8xx10^(5) J`
B. `-12xx10^(5) J`
C. `-7xx10^(5) J`
D. `6xx10^(5) J`

Answer

C

Explanation

Net work done `DeltaW`=area covered by `P-V` curve =area of `DeltaABE+`area of square `BCEF`+area of `DeltaCDF`
`=-[1/2(3xx10^(5)-1xx10^(5)xx(3-1)]+3xx10^(5)`
`xx(5-3)+1/2[(1xx10^(5)-3xx10^(5))xx(6-5)]`
`=-(2xx10^(5)+6xx10^(5)-1.0xx10^(5))=-7xx10^(5) J`