A gas is expanded form volume `V_(0) to 2V_(0)` under three different processes as shown in the figure . Process 1 is isobaric process process 2 is isothermal and and process 3 is adiabatic .
Let `DeltaU_(1),DeltaU_(2) and DeltaU_(3)` be the change in internal energy of the gs in these three processes then

Options

A. `triangleU_(1) gt triangleU_(2) gt triangleU_(3)`
B. `triangleU_(1) lt triangleU_(3) lt triangleU_(2)`
C. `triangleU_(2) lt triangleU_(3) lt triangleU_(3)`
D. `triangleU_(2) lt triangleU_(3) lt triangleU_(1)`

Answer

A

Explanation

Process …….(i) is isobaric …………(i)
`triangleU_(1)=-triangleQ-triangleW="positive "………..(ii)`
Process (ii) is isothermal
`triangleU_(2)=0`
Process (iii) is adiabatic …………..(iii)
`triangleQ=0`
`triangleU=-triangle W="negative "`
`triangleU_(1) gt triangleU_(2) gt triangleU_(3)`