Propane enters the condenser of a steady$-$flow Carnot refrigerator as a saturated vapor at $35$C$,$ and it leaves with a quality of $0\mathrm{.}05.$ The heat absorption from the refrigerated space takes place at $-10$C$.$ Show the cycle on a T$-$s diagram relative to saturation lines, and determine $($a$)$ the coefficient of performance, $($b$)$ the quality at the beginning of the heat$-$absorption process, and $($c$)$ the net work input.

$($a$)$ the coefficient of performance, Answer $1$ Question $1$

$($b$)$ the vapour quality at the begining of the heat$-$absorption process Answer $2$ Question $1$

c$)$ the net work input in kJ$/$kg