Question

Two insulating cylinders a and b fitted with pistons contain equal amount of ideal diatomic gas at temperature 300k the piston 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 30k the the rise in temperature of gas b is

Answer 1

Answer:

Since the piston of A is free to move, the pressure inside the cylinder A remains the same. Thus, for given heat H to the system,

H=nCPΔT1

The piston in cylinder B is fixed. Thus volume remains constant.

H=nCVΔT2

⟹ΔT1ΔT2=CVCP

                    =1.4

⟹ΔT2=42 K