Thermodynamics Question 304

Question: An ideal gas has temperature$ T _{1} $ , at the initial state shown in the P- V diagram. The gas has a higher ternperature $ T _{2} $ at the final states a and b, which it can reach the paths shown. The change in entropy:

Options:

A) greatest in a

B) greatest in b

C) same in a and b

D) nothing can be said

Show Answer

Answer:

Correct Answer: B

Solution:

[b] $ Q _{a}=\Delta U+0=\Delta U\text{ and }Q _{b}=\Delta U+P\Delta V $

$ \text{As }Q _{b}>Q _{a}, $

$ \therefore $ Change in entropy is greater in case [b].



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