(30 points) Question 6 Suppose you have bought a house and you are trying to mak
ID: 884459 • Letter: #
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(30 points) Question 6 Suppose you have bought a house and you are trying to make a decision about whether to purchase a resistive heater or a heat pump; either device would be driven by your existing solar electric system. The resistive heater and the heat pump cost the same, so you base your decision on the efficiency of the system. For the purposes of this problem, you can consider the heat pump to be based on an idealized Carnot process (i.e. refrigerator cycle). You can also assume that the total heat input to the house by the resistive heater to be equal to the work that an electrical motor can do to drive the heat pump. Assume the motor is ideal and converts all electrical energy into mechanical energy If the outdoor temperature is 5.0 °C and you want the interior of your house to be at 20.0 °C, what must the coefficient of performance of the heat pump be? 6. (a)Explanation / Answer
6 (a) Cp (Co-efficient of performance) = QH / W
= QH / QH - QC = TH / TH - TC
= 20 / 20 - 5 = 1.33
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