Thermodynamics Question 240
Question: Two cylinders A and B fitted with pistons contain equal amounts of an ideal diatomic gas at 300 K. The piston of A is free to move while that of B is held fixed. The same amount of heat is given to the gas in each cylinder. If the rise in temperature of the gas in A is 30 K, then the rise in temperature of the gas in B is
Options:
A) 30 K
B) 18 K
C) 50 K
D) 42 K
Show Answer
Answer:
Correct Answer: D
Solution:
[d]$ Q={{} _{n}}C _{p}\times 30=n\times \frac{7R}{2}\times 30 $
$ \text{and }Q=n\times \frac{5R}{2}\times \Delta T $
$ \therefore n\times \frac{7R}{2}\times 30=n\times \frac{5R}{2}\times \Delta T\text{ or }\Delta T=42K. $
