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# HW3 - Department of Mechanical Science and Engineering ME...

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Department of Mechanical Science and Engineering ME 300 Thermodynamics Section D Fall 2010 Homework #3 due Friday, September 17 th Problem 3.1* A heat pump to heat an apartment during the winter has the following specifications. The heating capacity is 4 kW (that is the heat transfer rate to the apartment) and the rated power requirement of the heat pump is 1.6 kW. (a) What is the amount of energy, in kJ, the heat pump can provide to the apartment in one hour? (b) What is the coefficient of performance of the heat pump? (c) What is the required amount of energy transfer from the surroundings ( Q in ), in kJ, to your heat pump? (d) The heat pump runs 1500 hours a year. Assuming the cost for electricity is \$0.06kWh (e.g. you have to pay \$0.06 if you consume 1kW in 1hour). What is the cost per year of running the heat pump? (e) An electrical heater also provides 4 kW of heat capacity. Calculate the yearly cost for the electrical heater if it is used also 1500 hours a year. Assuming the initial cost to install the heat pump is \$900 more than for the electrical heater. Would you recommend the installation of a heat pump instead of the electrical heater?

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