Example $4\mathrm{.}10.$ A simple saturation cycle using $R-12$ is designed for taking a load of

$10$ tonnes. The refrigerator and ambient temperature are $-0C$ and $30C$ respectively. A minimum

temperature difference of $5C$ is required in the evaporator and condenser for heat transfer. Find

: $1.$ Mass flow rate through the system ; $2.$ Power required in $kW$;$3.$ C$.$O$.$P$.$ ; and $4.$ Cylinder

dimensions assuming $\frac{L}{D}=1\mathrm{.}2,$ for a single cylinder, single acting compressor if it runs at $300$

r$.$p$.$m$.$ with volumetric efficiency of $90\%.$