plelase solve question with using thermodynamics equation and calculation.

A horizontal cylinder $0\mathrm{.}457$ m long is divided into two parts, A and B$,$ by a latched piston. The volume of A is twice that of B$.$ A contains helium at $311$ K and $10\mathrm{.}13$ bar withCV,A$12\mathrm{.}56$ J$/($mol K$),$ and B contains hydrogen at $311$ K and $1\mathrm{.}01$ bar withCV,B $20\mathrm{.}9$ J$/($mol K$).$ Both gases may be considered ideal. When the latch is removed, the piston reaches an equilibrium position so that A and B have the same pressure. Without neglecting friction but assuming no heat transfer to the cylinder walls, compute the final position of the piston and the temperature and pressure in both A and B for the following four cases: $(1)$ Piston is diathermal. $(2)$ Piston is adiabatic. $(3)$ Piston is diathermal and A is in diathermal contact with a $311$ K heat reservoir. $(4)$ Piston is adiabatic and A is in diathermal contact with a $311$ K heat reservoir.