A system changes from the state `(P_(1),V_(1))" to "(P_(2), V_(2))` as shown, work done by the system is:

Options

A. `7.5 xx10^(5) J`
B. `7.5 xx10^(5)` ergs
C. `12xx10^(5)J`
D. `6xx10^(5) J`

Answer

C

Explanation

Area of `Delta CDE =(1)/(2) ("Base")xx` height
`=(1)/(2) xx (4m^(3)) xx4xx10^(5) Nm^(-2)=8xx10^(5)J`
Work = Area of rectangle ABCD -Area of `Delta CDE`
`=[5xx4xx10^(5)-8xx10^(5)]J`.
`therefore` Correct choice is (c ).