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

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 cylinder A is 30 K, find the rise in temperature of the gas in cylinder B.

Answer:

42

Solution:

A is isobaric: $Q = n C_{p} Δ T_{A}$ . B is isochoric: $Q = n C_{v} Δ T_{B}$ . $Δ T_{B} = γ Δ T_{A} = 1.4 \times 30 = 42$ K.

TestHub · Accepted Answer

A is isobaric: Q = n C p ​ Δ T A ​ . B is isochoric: Q = n C v ​ Δ T B ​ . Δ T B ​ = γ Δ T A ​ = 1.4 × 30 = 42 K.

Physics - Heat & Thermo Question with Solution | TestHub

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