Consider the adjacent figure. A piston divides a cylindrical container into two equal parts. The lets part contains 1 mole of helium gas and the right part contains two moles or oxygen gas. The initial temperatures and pressures of the gases in the left chamber are `T_(0)` and `p_(0)` and the right chamber are `(T_(0))/(2)` and `p_(0)` respectively as shown in the figure. The piston as well as the walls of the container are adiabatic. After removal of the piston, gases mix homoganeously and the final pressure becomes `p=(4n)/(13)p_(0)`. Find the value of n.

Answer

C