A domest ic ground source h eat pump has a coeffi cient of pel forman e of 4. Or cold winter days, it delivers space heating at a pea k rate of 12K W . ho w much electr ical powe r does it require to deliver this output? (5 marks)

To solve this problem, we need to use the coefficient of performance (COP) of the heat pump, which is defined as the ratio of the heating output to the electrical input.<br /><br />Given information:<br />- Coefficient of performance (COP) = 4<br />- Space heating output = 12 kW<br /><br />The formula to calculate the electrical input required is:<br /><br />Electrical input = Heating output / COP<br /><br />Substituting the given values:<br /><br />Electrical input = 12 kW / 4<br />Electrical input = 3 kW<br /><br />Therefore, the electrical input required to deliver the 12 kW of space heating output on a cold winter day is 3 kW.