A sample consisting of `1mol` of a mono-atomic perfect gas `(C_(V) = (3)/(2)R)` is taken through the cycle as shown.

`DeltaU` for the process `(2 rarr 3)` is

Options

A. `0.00J`
B. `+3.40 kJ`
C. `-3.40 kJ`
D. None of these

Explanation

In conversion from state `2` to state `3`
`DeltaT = T_(2) - T_(1) = 273 - 546 =- 273 K`
`C_(V) = (3)/(2)R`
`:. DeltaU = nC_(V) DeltaT = 1 xx (3)/(2) xx 8.314 xx (-273)`
`=- 3.40 xx 10^(3)J`