A refrigerator operating in a room at 20 has to extract heat at a rate of 500 W from the cabinet at 4 °C to compensate for the imperfect insulation. How much power must be supplied to the motor if its efficiency is 80% of the maximum possible?
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- The power required to drive the compressor in a Carnot refrigerator is 62 hp. It operates between -6°C and 45°C. Determine the coefficient of performance. Final answer must be in 3 decimal places.An engine works with two reservoirs: Ta at 400 degrees Celsius and the other Tb at 200 degrees Celsius. It goes through processes with first adiabatic compression absorbing 150 J then isothermal expansion on Ta then adiabatic expansion then isothermal compression on Tb. Output of the engine operates between the same two reservoirs, with adiabatic expansion, then isothermal expansion at Tbthen adiabatic compression then isothermal compression at Ta. Output of engine runs refrigerator. Suppose temperature is 30 degrees Celsius, and the hot reservoir has spherical tank with a radius of 6.00 m, acting as radition emitter. If all energy emitted by the tank could be contained, what is average amount of work that could be completed each second?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?
- Draw the reliability block diagram with blocks representing the first and second blocks of a refrigerator sub- systems1.1 Determine the electrical power supplied to a boiler when the temperature of the enteringwater is 20 C and the exiting temperature is 89 C. The flow of.the pressured water is 2 Kg/s. There is anegligible pressure drop through this boiler and it operates at a constant pressure of 3 bars. The specificheat is c = 4,370 J/(Kg K). There is a 1.5(105) W rate of heat loss from the boiler during this process to asurrounding at 293.2 k. Consider steady state conditions.1.2 Calculate the total rate of entropy production in Problem 1.1.1.3 Calculate the total rate of exergy destruction (W) in Problem 1.1. The dead statetemperature is 293.2 K and pressure is 1 bar.1.4 Calculate the mass flowrate of fuel (natural gas, CH4) required to heat the water flow to theconditions of problem 1.1 if the electrical heating device is replaced with a gas fired boiler. The highheating value (HHV) of the fuel is 50.02 MJ/kg.1.5 Calculate the exergy destroyed in the process described by problem 1.4. The exergy…1.1 Determine the electrical power supplied to a boiler when the temperature of the enteringwater is 20 C and the exiting temperature is 89 C. The flow of.the pressured water is 2 Kg/s. There is anegligible pressure drop through this boiler and it operates at a constant pressure of 3 bars. The specificheat is c = 4,370 J/(Kg K). There is a 1.5(105) W rate of heat loss from the boiler during this process to asurrounding at 293.2 k. Consider steady state conditions.1.2 Calculate the total rate of entropy production in Problem 1.1.1.3 Calculate the total rate of exergy destruction (W) in Problem 1.1. The dead statetemperature is 293.2 K and pressure is 1 bar.1.4 Calculate the mass flowrate of fuel (natural gas, CH4) required to heat the water flow to theconditions of problem 1.1 if the electrical heating device is replaced with a gas fired boiler. The highheating value (HHV) of the fuel is 50.02 MJ/kg.1.5 Calculate the exergy destroyed in the process described by problem 1.4. The exergy…
- An engine works with two reservoirs: Ta at 400 degrees Celsius and the other Tb at 200 degrees Celsius. It goes through processes with first adiabatic compression absorbing 150 J then isothermal expansion on Ta then adiabatic expansion then isothermal compression on Tb. Output of the engine operates between the same two reservoirs, with adiabatic expansion, then isothermal expansion at Tbthen adiabatic compression then isothermal compression at Ta. Output of engine runs refrigerator. What is the coefficient of performance of refrigerator and what is the total change in entropy in running the system?A cyclic heat engine operates between a source and sink that are respectively attemperatures of 1000 0C and 50 0C. Draw the diagram, calculate the efficiency of the heatengine and the rate of heat rejection per kW net output of the engine.WHAT IS THE COEFFICIENT OF PERFORMANCE OF THE REFRIGERATOR? (please only answer if you are 100% correct)(show work)
- A certain refrigerator has a COP of 5.00. When the refrigerator is running, its power input is 500 W. A sample of water of mass 500 g and temperature 20.0°C is placed in the freezer compartment. Assume all other parts of the refrigerator stay at the same temperature and there is no leakage of energy from the exterior, so the operation of the refrigerator results only in energy being extracted from the water. -->Compare the cost to make 44 kg of ice using two different refrigerators; one has a COP of 5.00 and the other has a COP of 6.00. Electricity costs $0.10 per kWh. Using the same assumptions given in the example, find the cost difference (in dollars) between the refrigerators to freeze the water.What is the best coefficient of performance for a heat pump that has a hot reservoir temperature of 50.0ºC and a cold reservoir temperature of −20.0ºC? (b) How much heat transfer occurs into the warm environment if 3.60 × 107 J of work (10.0 kW · h) is put into it? (c) If the cost of this work input is 10.0 cents/kW · h, how does its cost compare with the direct heat transfer achieved by burning natural gas at a cost of 85.0 cents per therm. (A therm is a common unit of energy for natural gas and equals 1.055 × 108 J.)For a refrigerator with automatic defrost and a top-mounted freezer, the electric power required is approximately 450 watts to operate. If the coefficient of performance is 3.2, Evaluating electricity at $0.15/kW⋅h, and assuming the unit runs 75% of the time, estimate the cost of one month's operation, in $.