Thermodynamics Question 266

Question: There are two processes ABC and DBF. In which of the process is the amount of work done by the gas greater?

Options:

A) ABC

B) DEF

C) Equal in both processes

D) It cannot be predicted

Show Answer

Answer:

Correct Answer: B

Solution:

[b] $ W _{ABC}=\frac{\pi r^{2}}{2}=\frac{\pi {{(6)}^{2}}}{2}=18\pi $

$ W _{DEF}=\frac{\pi \times 3^{2}}{2}+\frac{\pi \times 3^{2}}{4}+( 15-12 )\times 18 $

$ =6.75\pi +54 $

$ W _{DEF}>W _{ABC} $



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