Correct Answer - Option 3 : 5 kW
Concept :
Coefficient Of Performance (COP) Or Energy Performance Ratio:
It is defined as, “The ratio of the desired effect to the work input.”
\({{COP}} = \frac{{{{Desired\; Effect}}}}{{{{Work\;input}}}}\)
Relationship between COPHP and COPRef (For same temperature Limits)
COPHeat Pump = 1 + COPRef
Calculation:
Given:
Work Input = 1 kW, COPRef = 4.
COPHeat Pump = 1 + COPRef
\(CO{P_{Heat\ Pump}} = \frac{{Desired\;Effect\;\left( {Heating\;Effect} \right)}}{{Work\;Input}}\)
Desired effect (Heating effect) = COPHeat Pump × Work Input = 5 × 1 ⇒ 5 kW.
