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A gas undergoes change in its state from...

A gas undergoes change in its state from position `A` to position `B` via three different path as shown in Fig. Select the correct alternatives :

A

Change in internal energy in all the three paths is equal.

B

In all the three paths heat is absorbed by the gas.

C

Heat absorbed/released by the gas is maximum in path (1).

D

Temperature of the gas first increases and then decreases continuously in path (1).

Text Solution

Verified by Experts

The correct Answer is:
a, b, c
Internal energy (U) depends only on the initial and final states. Hence `Delta U` will be same in all the three paths. In all the three paths, work done by the gas is positive and the product PV or temperature T. is increasing. Therefore, internal energy is also increasing. So, from the first law of the thermodynamics, heat will be absorbed by the gas. Further area, under P-V graph is maximum in path-1 while `Delta U` is same for all the three paths. Therefore, heat absorbed by the gas is maximum in path-1. For temperature of the gas, we can see that product PV first increases in path-1 but whether it is decreasing or increasing later on we cannot say anything about it unless the exact values are known to us.
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