In the P - V diagram, I is the initial state and F is the final state. The gas goes from I to F by
(i) IAF, (ii) IBF and (iii) ICF.

The heat absorbed by the gas is

Options

A. the same in all the three processes
B. the same in (i) and (ii)
C. more in (i) than in (ii)
D. the same in (ii) and (iii)

Answer

C

Explanation

For a thermodynamic process, dQ = dU + dW
In this case for all three processes initial and final states are the same.
`therefore` dU is the same for all.
`therefore` dQ will depend upon dW.
Let `dW_(1),dW_(2)anddW_(3)` be the works done in (i), (ii) and (iii) then `dW_(1)` is +ve.
`thereforedW_(2)` = 0 as it is an isochoric process as volume is constant and `dW_(2)` = PdV = 0.
`dW_(3)` is positive and `dW_(1)=dW_(3)" "thereforedQ_(1)gtdQ_(2)`