A piston$-$cylinder device contains $8kg$ of water at $120C$ with a quality of $65$ percent,

the temperature of the surroundings remains constant at $200C.$ This water undergoes

two processes as follows:

State $1$ to state $2$: Heat is transferred to the steam in a constant pressure process until

all of the water is just vaporized. During this process, the temperature is kept constant.

State $2$ to state $3$: The water undergoes an adiabatic, reversible process $($i$.$e$.$ not at

constant pressure$)$ until the pressure is $10$kPa.

$($a$)$ Sketch these processes with respect to the saturation lines on a single T$-$s diagram.

$($b$)$ Determine the heat transferred to the steam in the first process $(Q_{12}),$ in $kJ.$

$($c$)$ Determine the work done by the steam in the second process, $(W_{23})$ in $kJ.$

$($d$)$ Determine the total entropy generated during the complete process from state $1$ to

state $3,$ in $k\frac{J}{K}.$