Analyze and perform cycle calculations for standard vapour compression refrigeration systems.

3) A sports centre includes an ice-rink and swimming-pools. It is proposed to use a mechanical heat pump to provide the combined effect of maintaining the ice in the rink and some of the heating requirement for the water of the swimming-pools and for the buildings. The power input to the refrigerant vapour is 120 kW and the mechanical efficiency of the compressor is 84%. The refrigerant is R-134a, the evaporation temperature for is -6C and the condensation temperature is 50C. The R-134a can be assumed to be dry saturated at entry to the compressor and the liquid refrigerant is cooled to 44C on leaving the condenser. The refrigeration rate in the ice-rink for the power input is 430 kW. Calculate:

1. The mass flow rate of refrigerant;

2. The isentropic efficiency of the compression process;

3. The heat available for heating purposes.

4. Compare this method of providing the heating by the direct heating of water in a boiler of 790W of primary fuel energy input. Electrical power is generated at a power station overall efficiency of 38%, the transmission efficiency to the sports centre is 84% and water boiler has an overall efficiency of 93%.

What other factors would be taken into account before reaching a decision on the proposed method?

Please answer this question professionally and not refering to any solution already posted here. TIA