Final answer:
To find the compressor power, calculate the enthalpy change and use it to calculate the power. Then, calculate the refrigerating capacity and use it to calculate the coefficient of performance (COP).
Step-by-step explanation:
To solve this problem, we first need to find the enthalpy change of the refrigerant during the compression process. The enthalpy change can be calculated using the heat capacity at constant pressure (Cp) and the change in temperature.
The enthalpy change (ΔH) = mass flow rate (ṁ) × Cp × (T2 - T1)
Once we have the enthalpy change, we can use it to calculate the compressor power using the formula:
Compressor power = ṁ × ΔH
To find the refrigerating capacity, we can use the formula:
Refrigerating capacity = mass flow rate (ṁ) × enthalpy change (ΔH)
Finally, the coefficient of performance (COP) can be calculated as:
COP = Refrigerating capacity / Compressor power