Correct Answer - Option 2 : 2.5
Concept:
Coefficient of performance of the refrigeration system working on reversed Carnot cycle:
\({\rm{COP}} = \frac{{{\rm{RE}}}}{{{{\rm{W}}_{{\rm{net}}}}}} = \frac{Q}{W} = \frac{{{T_L}}}{{{T_H} - {T_L}}}\)
Unit of refrigerating effect = One tonne of refrigeration
Calculation:
Given:
COP = 2, R.E = 5 kW
\({\rm{COP}} = \frac{{{\rm{RE}}}}{{\rm{W}}} = 2=\frac{5}{W}\)
W = 2.5 kW
COP of a heat pump:
\(CO{P_{HP}} = \frac{{{T_H}}}{{{T_H} - {T_L}}}\)