Q$2($a$)$ A $12$ TOR capacity refrigeration system works with a reversed Carnot cycle with a higher temperature of $35C$ and a lower temperature of $-15C.$ Assuming there is no losses in the system. Determine

$($i$)$ COP of the system;

$[3]$

$($ii$)$ Power required;

$[3]$

$($iii$)$ Heat rejected.

$[4]$

$($b$)$ Analyse the performance of the vapour compression system using appropriate graph and the equations with respect to

$($i$)$ Effect of suction pressure;

$[5]$

$($ii$)$ Effect of super heating.

$[5]$

$($c$)$ Describe the working principle of the vapour compression refrigeration system with appropriate block diagram and $Ph$ diagram.

$[5]$