Question

Two cylinders fitted with pistons contain equal amount 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 gas in B is(a) 30 K(b) 18 K(c) 50 K(d) 42 K

Answer 1

here is your answer :-D

Answer 2

Answer:

D) 42 K

Explanation:

In both cylinders A and B the gases are diatomic (γ = 1.4). Since, piston A is free to move, this means that it is an isobaric process. Whereas, piston B is fixed which means that it is an isochoric process. If same amount of heat ΔQ is given to both then -

(ΔQ) isobaric = (ΔQ) isochoric

uCp(ΔT)a = uCv(ΔT)b

(ΔT)b = Cp/Cv(ΔT)a

γ(ΔT)a = 1.4×30 = 42

Thus, the rise in temperature of gas is 42 K