$4-$A refrigerator uses refrigerant$-134$a as the working fluid and operates on an ideal vaporcompression refrigeration cycle between $0\mathrm{.}12$ and $0\mathrm{.}8$ MPa $.$ If the mass flow rate of the refrigerant is $0\mathrm{.}06k\frac{g}{s},$ 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 COP of the refrigerator

$(7$Marks$)$