A heat-conducting piston can freely move inside a closed thermally insulated cylinder with an  ideal
Channel: Doubtnut
Date: 2020-08-16

A heat-conducting piston can freely move inside a closed thermally insulated cylinder with an  ideal gas. In equilibrium the piston divides the cylinder into two equal parts, the gas temperature being equal to `T_0`. The piston is slowly displaced. Find the gas temperature as a function of the ratio `eta` of the volumes of the greater and smaller sections. The adiabatic exponent of the gas is equal to `gamma`.