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» <html><body><p>Change in internal energy is same in IV and III cases, but not in I and II.<br/>Change in internal energy is same in all the four cases.<br/>Work <a href="https://interviewquestions.tuteehub.com/tag/done-2591742" style="font-weight:bold;" target="_blank" title="Click to know more about DONE">DONE</a> is maximum in case I <br/>Work done is minimum in case II.</p>Solution :Change in internal energy from state A to state B, <br/> `dU_(A to B) = n C_V DeltaT` <br/> `=nC_V(T_B-T_A)` <br/> <a href="https://interviewquestions.tuteehub.com/tag/depends-948548" style="font-weight:bold;" target="_blank" title="Click to know more about DEPENDS">DEPENDS</a> on only the temperature of A and B. <a href="https://interviewquestions.tuteehub.com/tag/hence-484344" style="font-weight:bold;" target="_blank" title="Click to know more about HENCE">HENCE</a>, 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)` = <a href="https://interviewquestions.tuteehub.com/tag/area-13372" style="font-weight:bold;" target="_blank" title="Click to know more about AREA">AREA</a> under the graph `P to V` It is maximum for path I.</body></html>