A horizontal cylinder of volume V0 is divided into two parts by means of a frictionless piston which is free to slide along the length of cylinder. The walls of the cylinder are non conducting but the piston is made of conducting material. Ideal gases are filled in the two parts.

When the piston is kept in the middle, the pressures are P1 and P2 in the left part and right part respectively. The piston is released and it slides to a position where it can stay in equilibrium. Find the volumes of the two parts.