Rigid vessel is divided into two parts A and B by means of frictionless, perfectly

conducting piston. Initially, part A contains $0\mathrm{.}4m^3$ of air $($ideal gas$)$ at $10$ bar

pressure and part B contains $0\mathrm{.}4m^3$ of wet steam at $10$ bar. Heat is now added to

both parts until all the water in part B is evaporated. At this condition the pressure in

part B is $15$ bar. Determine the initial quality of steam in part B and the total amount

of heat added to both parts.