Chapter 5, Problem 5.22P

A geothermal heat pump with a coefficient of performance of 1.3 supplies a building with 48000 BTU/hr of heat. Assuming a $0.20/kWh electricity rate. Provide responses to the following questions about this system: a. How much would it cost per month to supply heat at a rate of 48000 BTU/hr using a basic electrical resistance heater? b. In that month, how much heat is extracted from the earth by the heat pump, in kWh? c. What is the monthly savings associated with using this heat pump vs a basic electrical resistive heater?

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Solve last 3 parts

6.24 A heat pump system operates between temperature limits of -5 and 18°C. The heating load of the space is 48,000 Btu/h and the COP of the heat pump is estimated to be 1.7. Determine (a) the power input, (b) the rate of heat absorbed from the cold environment, and (c) the maximum possible COP of this heat pump.

This is Problem 13 of Chapter 3 in Sustainable Energy by Richard Dunlap, 2nd Edition. I need help solving it:  A coal-fired generating station has an efficiency of 38% and produces an average electrical output of 1000 MWe.(a) How much coal does it burn per second (kg/s)? Assume the coal is bituminous.(b) How much heat (in joules) is released to the environment per second?(c) How many liters of water at 20°C could the heat in part (b) boil (at STP) per second? For c, here is my idea: use Q = mc(change in T). Here change in T is (100 C - 20 C) or 80 C and c = 4200 J/(kg C) so I can solve for m. Question: I need the density of water to find liters, but density changes with temperature. So, do I use the regular 1000 kg/m^3 or something else?

2. Between 300K and 600K is the operating temperature of a pair of heat pumps connected in series. The efficiency of the second heat pump is three times that of the first. Find the input work for the first and second heat pumps if the second heat pump absorbs 20kW of heat and the heat release in the first heat pump is the same.

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I. 1. During a cyclic process, a heat engine absorbs 500 J of heat from a hot reservoir, does work and ejects an amount of heat 300 J into the surroundings (cold reservoir). Calculate the efficiency of the heat engine?

3.Two Carnot heat engines run in series with the efficiency of first engine is 1/k times the second. If the thermal reservoir at low and high temperatures were denoted by TL and TH, find the simplified ratio of heat absorbed to heat rejected by the second heat engine in terms of TL, TH and k only.