A heat pump produces 10.8372 kW of heat while taking in 7.28103 kW of heat from a reservoir at-4.21101 °C. What is the maximum possible temperature at which the heat pump can supply heat? (Answer in units of °C. NOTE UNITS) Answer:
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- A heat pump with a COP of 3.2 is used to heat a perfectly sealed house (no air leaks). The entire mass within the house (air, furniture, etc.) is equivalent to 1200 kg of air. When running, the heat pump consumes electric power at a rate of 5 kW. The temperature of the house was 7°C when the heat pump was turned on. If heat transfer through the envelope of the house (walls, roof, etc.) is negligible, the length of time the heat pump must run to raise the temperature of the entire contents of the house to 22°C is (a) 13.5 min (b) 43.1 min (c) 138 min (d) 18.8 min (e) 808 minProvide complete solution and detailed diagram. The thermodynamic efficiency of a heat engine that rejects heat at a rate of 20 MW when heatis supplied to it at a rate of 60 MW is: A. 33.3% B. 50% C. 66.7% D. 75%(9) The coefficient of performance of a residential heat pump is 2.85. If the input power to this heat pump is 2.7 kW, Calculate the rate of heat supply to the house, in kJ/h.
- A heat pump is used to extract heat from the outside atmosphere to heat the inside of a building. On a day when the outside air temperature is Tc°C, the heat pump is operating to a COP of 3.7, maintaining the inside temperature of the building at Th°C. If the building is losing heat at the rate of 53,709 kJ/hour in these conditions, determine how much power (kW) must be supplied to a heat pump? Keep two decimal places1. In an analysis, a heat engine based on the Carnot cycle operating between 1000 0C and 300 0C. The heat rejected from this engine to the sink was at a rate of 800 kJ/min. Determine the thermal efficiency (in %) and power output (in kW) of the engin 2.You found out that the power output of your dream car is the same as the sum of each digits of your student number (in kW) with a percentage thermal efficiency the same as the first four digit of your student number divided by 100. The calorific value of the fuel available has a calorific value of 40 000 kJ/kg. Assuming a constant power output from the car, calculate the heat transfer rate (in kW) and the fuel consumption rate (in kg/h)Question 2. A household with electric resistance heating plans to switch from resistive heating to a ground source heat pump. Annual heat consumption of the house is 30 000 kWh. Investment cost of the heat pump is 21 000 €. Heat pumps COP is 4.0. How much are the annual savings compared to resistive heating after the change of the heating system (in kWh)? Average price of electricity is assumed to be 12 c/kWh. Round off your answer to one decimal digit and enter it without the unit.
- A heat pump has a coefficient of performance equal to 4.25 and requires a power of 1.61 kW to operate. (a) How much energy does the heat pump add to a home in one hour? (b) If the heat pump is reversed so that it acts as an air conditioner in the summer, what would be its coefficient of performance? Need Help? Read It1. A geothermal heat pump with a COP of 1.3 provides 48000 BTU/hr of heat to a building. Assuming an electrical power rate of $0.20/kWh. answer the following questions for this system: a. What would be the monthly cost to provide heat at a rate of 48000 BTU/hr if the heat was delivered by a simple electrical resistance heater? b. How much heat is drawn from the ground by the heat pump in that month, in kWh? c. What is the savings per month enjoyed by operating this heat pump for a month vs. a simple electrical resistance heater?An electric home stove with 3 burners and microwave is used in preparing a meal asfollows. Burner 1: 20 minutes Burner 2: 40 minutes Burner 3: 15 minutes . Microwave: 30minutes. If each burner is rated at 1.2 kW and the oven at 1.8 kW, and electricity costs 1000(IQ =Iraqi Dinar) per k Wh, calculate the cost of electricity used in preparing the meal?
- A homeowner is trying to decide whether to heat with a furnace rated at 95% efficiency or by an electrically powered heat pump. She lives in a town where electricity is produced by a coal-fired power plant that claims to operate with 1st law efficiency that is 55% of the Carnot limit. The heat pump's CoP is advertised to be 40% of the Carnot limit. For what range of outside temperatures To would the 2nd law efficiency of the furnace be greater than that of the heat pump? Assume T+ = 400°C, T- = T= 40°C. %3DIf a house needs a minimum heat transfer rate of 75 kJ/h (i.e., 75 kJ of heat needs to be transferred into the house during one hour) to maintain a pleasant indoor temperature. If one wants to use a heat pump with a COP of 5.55 to fulfill this heat transfer rate, what is the corresponding electricity (in kWh) consumption to run such a heat pump for one hour?(9) The coefficient of performance of a residential heat pump is 1.95. If the input power to this heat pump is 4.5 kW, Calculate the rate of heat supply to the house, in kJ/h. Reservoir HP W Reservoir