Thermodynamics Question 291
Question: An ideal gas can be expanded from an initial state to a certain volume through two different processes, $ PV^{2}=K $ and $ P=KV^{2}, $ where K is a positive constant. Then, choose the correct option from the following.
Options:
A) Final temperature in will be greater than in (B)
B) Final temperature in will be greater than in (A)
C) Work done by the gas in both the processes would be equal
D) Total heat given to the gas in is greater than in (B)
Show Answer
Answer:
Correct Answer: B
Solution:
[b] Process [a]$ \frac{nRT}{V}V^{2}=K;TV=constant; $
Process [b] $ \frac{nRT}{V}=KV^{2};\frac{T}{V^{3}}=constant; $
$ T\propto V^{3} $
