A cylinder contains equal volumes of Ar and `H_(2)`, separated by a freely movable piston B. Piston A can also move without friction. Volume of each gas in equilibrium is`V_(0)`. All walls of the container including piston A are non conducting.
(i) Piston A is pushed down slowly till the volume occupied by argon becomes `(V_(0))/(4)` . Find the volume of `H_(2)`. Assume that piston B is also non conducting.
(ii) Now assume that piston B is conducting and assume that each gas has n moles. The external agent performs work `W_(0)` in slowly pushing down the piston A. Find rise in temperature of each gas.

Answer

(i) `(V_(0))/((2)^(25/21)) " " (ii) (W_(0))/(4nR)`