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

Answer 1

Answer:

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=nC

P

ΔT

1

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

H=nC

V

ΔT

2

⟹

ΔT

1

ΔT

2

=

C

V

C

P

=1.4

⟹ΔT

2

=42 K