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Figure shows the P- V diagram of an idea...

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.

A

Change in internal energy is same in IV and III cases, but not in I and II.

B

Change in internal energy is same in all the four cases.

C

Work done is maximum in case I

D

Work done is minimum in case II.

Text Solution

Verified by Experts

The correct Answer is:
B, C
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.
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