AP EAMCET Engineering 2018 Apr 22 Shift 2 Paper

A cylindrical vessel of uniform cross section consisting of a gas of γ=1.5 is divided into two part A and B using a piston. Initially the piston is kept fixed such that part A has pressure P and volume 5V and the part B has pressure 8P and volume V. If the piston is let free and the gas is allowed to undergo adiabatic process, the final volume of the gas in part A is _____