Domestic heat pumps are a renewable, low carbon alternative to traditional high carbon heating systems. (a) A ground source heat pump requires 34 kJ from the ground to deliver 54 kJ of heat to the house. Calculate the amount of work required and the Coefficient of Performance (COP) of the process. [4 marks] (b) Calculate the maximum theoretical COP if the ground temperature is 5 C and the target temperature in the house is 25 C. [3 marks] (c) Why are the two values of COP obtained in a) and b) different? Explain. [3 marks]