A vapour compression refrigerator using ammonia operates between saturation temperature limits of $-10C$ and $26C.$ The vapour enters the compressor with a dryness fraction of $97\%.$ The vapour is condensed but not undercooled before throttling. Assume that the average specific heat capacity of the superheated ammonia is $2,93k\frac{J}{k}gK.$ Using the properties of ammonia supplied $($see Annexture$3),$ sketch the P$-$h or T$-$s diagram, showing the cycle, and calculate the:

$4\mathrm{.}1$ temperature of the ammonia leaving the compressor

$4\mathrm{.}2$ dryness fraction of the vapour entering the evapotator

$4\mathrm{.}3$ theoretical COP

$4\mathrm{.}4$ ideal COP

$4\mathrm{.}5$ power required to produce $40$ tonnes of ice in $24$ hours at $0C$ from water at $22C$ if the actual COP is $75\%$ of the theoretical COP.

Take the enthalpy of fusion of ice as $330k\frac{J}{k}g$

$[25]$