A vertical closed cylinder holds a light piston dividing it into two parts, each with one mole of gas at T 0 . In equilibrium the upper volume is twice the lower one. At what temperature will the up

Question

A vertical closed cylinder holds a light piston dividing it into two parts, each with one mole of gas at T 0 ​ . In equilibrium the upper volume is twice the lower one. At what temperature will the upper volume be three times the lower one?

TestHub · Accepted Answer

The pressure difference A m g ​ across the piston is fixed. For ratio η it equals η V RT ( η 2 − 1 ) ​ . With η = 2 at T 0 ​ : 2 V 3 R T 0 ​ ​ . With η ′ = 3 at T : 3 V 8 RT ​ . Equating: T = 2 3 ​ × 8 3 ​ T 0 ​ = 16 9 ​ T 0 ​ . A.

Physics - Heat & Thermo Question with Solution | TestHub

Options:

Doubts & Discussion