A 15 m high cylinder with a cross-sectional area of 0.6 m^2 contains 3 m^3 of liquid water at 25 °C on the top of a thin insulated piston of mass 20 kg. Below the piston, argon gas is at 15 °C with a volume of 3 m^3, as shown in the figure. Heat is supplied to argon such that the piston rises and pushes the water out over the top edge. Find the
(i) work done (kJ) to remove the whole water from the top of the piston and
(ii) heat transferred (kJ) to argon during the process.
(iii) Plot the process on P-v diagram for argon. Assume atmospheric pressure (P_0) as 101 kPa, C_v and R for argon as 0.312 kJ/kg-K and 0.2081 kJ/kg-K respectively. The specific volume of water at 25 °C is 0.001003 m^3/kg. Neglect piston thickness.