Q$1)$ A rigid tank is divided into two compartments by a thermally non$-$

conducting piston. Compartment A contains water at $1\mathrm{.}5$ bar, $120^($@$)$C

with $10$ Liters of volume. Compartment B contains $0\mathrm{.}008$ kg of air with

volume of $5$ Liters. Heat transfer takes place to the rigid tank and at

the final state the volume of compartment B becomes $4$ Liters. It is known that the process for

air is polytropic with an exponent of $3\mathrm{.}106.$ Assuming air is an ideal gas and using the variable

specific heat approach for air, calculate: $($a$)$ the work done for water and for air, $($b$)$ the heat

transfers for water and air.

Remind that piston in rigid tank can move and actually it moves to the right side so there is work done by water. Please dont use same answer that given before because it is wrong