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 A is 30 K, then rise in temperature of the gas in B is:

Options:

Answer:

D

Solution:

A is isobaric: $Q = n C_{P} (30)$ . B is isochoric: $Q = n C_{V} Δ T_{B}$ .

$Δ T_{B} = 30 \times \frac{C _{P}}{C _{V}} = 30 \times \frac{7}{5} = 42 K .$

TestHub · Accepted Answer

A is isobaric: Q = n C P ​ ( 30 ) . B is isochoric: Q = n C V ​ Δ T B ​ . Δ T B ​ = 30 × C V ​ C P ​ ​ = 30 × 5 7 ​ = 42 K .

Physics - Heat & Thermo Question with Solution | TestHub

Options:

Doubts & Discussion