The work done in adiabatic compression of `2` mole of an ideal monoatomic gas by constant external pressure of `2 atm` starting from initial pressure of `1 atm` and initial temperature of `30 K(R=2 cal//"mol-degree")`

Answer

72

Explanation

`q=0, DeltaU=W`
`nC_(1)(T_(2)-T_(2))= -P_(ext)(V_(2)-V_(1))`
`n(3)/(2)R(T_(2)-30)= -2 ((nRT_(2))/(2)-(nRxx30)/(1))`
`rArr (3)/(2)(T_(2)-30)=(60-T_(2))rArrT_(2)=42K`
`W=nC_(v)(T_(2)-T_(1))=2xx(3)/(2)xx2(42-30)=72 cal`