A figid tank is divided into two equal parts by a partition. Initially, one side of the tark contains $5kg$ of water at $200$kPa and $25C,$ and the other side is evacuated. The partition is then removed, and the water expands into the entire tank. The water is allowed to exchange heat with its surroundings until the temperature in the tank returns to its initial value of $25C.$ Determine:

a$)$ The volume of the tank.

b$)$ The final pressure.

c$)$ The heat transfer for this process.