$[$Question $6]$ A refrigerator uses refrigerant$-134$a as the working working fluid and operates on an ideal vapor$-$compression refrigeration cycle as shown in the figure.

If the mass flow rate of the refrigerant is $\backslash (0\mathrm{.}05\backslash$mathrm$\{$~kg$\}/\backslash$mathrm$\{$s$\}\backslash ),$ determine:

$($a$)$ the rate of heat removal from the refrigerated space and the power input to the compressor,

$($b$)$ the rate of heat rejection to the environment, and

$($c$)$ the coefficient of performance $($COP$)$ of the refrigerator.

$20$ points