$($a$)$ The table below gives data for a system undergoing a thermodynamic cycle

consisting of four processes in series. Potential energy and kinetic energy

effects are to be neglected in the analysis. Determine the missing entries in

the table and whether the cycle is a power cycle or a refrigeration cycle.

$($b$)$ A closed rigid container $V=0\mathrm{.}5m^3$ in volume initially containing a two

phase mixture of saturated liquid water and saturated water vapour at a pressure

of $P_1=1$ bar with a quality $x=0\mathrm{.}5$ is placed on a hot plate. After heating, the

pressure $P_2=\frac{1\mathrm{.}5}{b}ar.$ Indicate the initial and final states on a temperature $/$

specific volume diagram and determine the temperature and mass of vapour present

at each state. What would the pressure $P_3$ be in the container if the heating were

continued until only water vapour were contained in the container $?$