Figure shows the P- V diagram of an ideal gas undergoing a change of state from A to B. Four different parts I, II, III and IV as shown in the figure may lead to the same change of state.

Figure shows the P- V diagram of an ideal gas undergoing a change of s

1.	Figure shows the P- V diagram of an ideal gas undergoing a change of state from A to B. Four different parts I, II, III and IV as shown in the figure may lead to the same change of state.
Answer» Change in internal energy is same in IV and III cases, but not in I and II. Change in internal energy is same in all the four cases. Work DONE is maximum in case I Work done is minimum in case II. Solution :Change in internal energy from state A to state B, `dU_(A to B) = n C_V DeltaT` `=nC_V(T_B-T_A)` DEPENDS on only the temperature of A and B. HENCE, internal energy is same for all four paths. It depends on the temperature of A and B. Moreover, the work done from state A to state B.`W_(A to B)` = AREA under the graph `P to V` It is maximum for path I.