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` (1 rarr2)` is

Options

A. `0.00J`
B. `+3.40 xx 10^(3)J`
C. `-3.40 J`
D. `-3.40 xx 10^(3)J`

Explanation

In expansion from state `1` to state `2`.
`P = 1 atm`
`V_(1) = 22.44 L`
`V_(2) = 44.88 L`
`C_(V) = (3)/(2)R`
`DeltaT = T_(2) - T_(1) = 546 - 273 = 273 K`
`:. DeltaU = nC_(V) DeltaT =1 xx (3)/(2) xx 8.314 xx273 = 3.40 xx 10^(3)J`