(figure). Shows the `P-V` diagram of an ideal gas undergoing a change of state from A to B. Four different process I, II, III, IV, as shown in (figure) may lead to the same change of state.

Options

A. Change in internal energy is same in IV and III cases, but not in I and II.
B. Change in internal energy is ame in all the four cases.
C. Work done is maximum in case I
D. Work done is minimum in case II

Answer

B, C

Explanation

Change in internal energy for the process A to B
`dU_(ArarrB)=nC_(v)dT=nC_(v)(T_(B)-T_(A))`
Which depends only on temperatures at A and B. Work done for A to B , `dW_(ArarrB)=` Area under p-V curve which is maximum for the path I.