A heat pump supplies heat energy to a house in order to maintain its temperature at 20°C. Over a period of one month, the heat pump operates for 100 hours to transfer energy from outside to inside the house. There are two possible heat reservoirs where the heat pump can operate on. Scenario 1: The heat pump receives heat from the outside air at -5°C. Scenario 2: The heat pump receives heat from a lake having a water temperature of 8°C. Upon comparing the two heat reservoirs, the house would be able to save $17 with the lake rather than the outside air. Assuming that electricity costs $0.12/kW-h. a. What is the maximum COP of the heat pump if the outside air is used? b. What is the maximum COP of the heat pump, if the lake as source is used? c. How much heat is lost by the house? *Round off all answers to four decimal places*
A heat pump supplies heat energy to a house in order to maintain its temperature at 20°C. Over a period of one month, the heat pump operates for 100 hours to transfer energy from outside to inside the house. There are two possible heat reservoirs where the heat pump can operate on.
Scenario 1: The heat pump receives heat from the outside air at -5°C.
Scenario 2: The heat pump receives heat from a lake having a water temperature of 8°C.
Upon comparing the two heat reservoirs, the house would be able to save $17 with the lake rather than the outside air. Assuming that electricity costs $0.12/kW-h.
a. What is the maximum COP of the heat pump if the outside air is used?
b. What is the maximum COP of the heat pump, if the lake as source is used?
c. How much heat is lost by the house?
*Round off all answers to four decimal places*
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