Chapter 5, Problem 5.33P

Two reversible cycles operate between hot and cold reservoirs at temperatures TH and TC, respectively. (a)If one is a power cycle and the other is a refrigeration cycle, what is the relation between the coefficient of performance of the refrigeration cycle and the thermal efficiency of the power cycle? (b)If one is a refrigeration cycle and the other is a heat pump cycle, what is the relation between their coefficients of performance?

As shown in the figure, an air conditioner operating at steady state maintains a dwelling at 70°F on a day when the outside temperature is 103.5°F. The rate of heat transfer into the dwelling through the walls and roof is 30,000 Btu/h and the net power input to the air conditioner compressor is 3.45 hp. Step 1 B Inside, 70° F Determine the coefficient of performance for the air conditioner. = Evaporator i 30,000 Btu/h Determine the coefficient of performance of the air conditioner. Determine the power input required, in hp, and the coefficient of performance for a reversible air conditioner providing the same cooling effect while operating between the same cold and hot temperatures. Refrigerant loop Compressor Outside Q + Condenser

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A heat source supplies 2325 kJ/kg to a working substance in a closed thermodynamic power cycle. The sink receives 1510 kJ/kg of working substance. The system pump requires 14kJ/kg of substance pumped. What is the thermal efficiency of the cycle?

Ericsson Cycle: Derivation of the following according to the PV andTS Diagram: Volume at the beginning and at the end of expansion. The overall ratio of compression The overall ratio of expansion The mean effective pressure

A thermodynamic cycle receives 150 J of heat from a cold reservoir and rejects 165 J of heat to a hot reservoir. What is its coefficient of performance as a refrigeration cycle, (B) ?

A R-134a home refrigerator operates on a simple cycle at pressures 1.8 bar-abs and 7.5 bar-abs. The refrigerant mass flow-rate is 0.005 kg/s. Fill up Tables 3a and 36. Part 3. Calculation: Performance of a Simple Refrigeration Cycle. Table Ja. Selected Thermodynamic properties of R-134a refrigerant according to the given cycle. kJ/ kg a Specific Enthalpy at suction A Specific volume at suction m/ kg kJ /g-K e Specific entropy at suction d Specific enthalpy at discharge Specific enthalpy after expansion hs4 31 kJ/ kg kJ / kg Table 3b. Performance of the home refrigerator according to its cycle of operation. kWatt a. Evaporator cooling capacity b Condenser heat rejection rate Q Cond kWatt Power required by compressor W Comp C. kWatt d Volume displacement of compressor e. Coefficient of Performance-Ref VCamp Li/s COP Ref f Coefficient of Performance-Canot COP RC & Flash-gas formed after expansion X4 kg / kg %3D

3. A reversible refrigeration cycle operates between cold and hot reservoirs at temperatures TC and TH, respectively. (a) If the coefficient of performance is 3.5 and TC = -40 deg F, determine TH, in deg F. (b) If TC = -30 deg C and TH = 30 deg C, determine the coefficient of performance. (C) If QC = 500 Btu, QH = 800 Btu, and TC = 20 deg F, determine TH, in deg F. (d) If TC = 30 deg Fand TH = 100 deg F, determine the coefficient of performance. (e) If the coefficient of performance is 8.9 and TC = -5 deg C, find TH, in deg C.

An air conditioner is a device used to cool the inside of a home. It is, in essence, a refrigerator in which mechanical work is done and heat removed from the (cooler) inside and rejected to the (warmer) outside. A home air conditioner operating on a reversible Carnot cycle between the inside, absolute temperature T2, and the outside, absolute tempera- ture T1 > T2, consumes P joules/sec from the power lines when operating continuously. (a) In one second, the air conditioner absorbs Q2 joules from the house and rejects Q1 joules outdoors. Develop a formula for the efficiency ratio Q2/P in terms of T1 and T2. (b) Heat leakage into the house follows Newton's law Q = A(T, – T2). Develop a formula for T, in terms of T1, P, and A for continuous operation of the air conditioner under constant outside temperature T and uniform (in space) inside temperature T2. (c) The air conditioner is controlled by the usual on-off thermostat and it is observed that when the thermostat set at 20°C and an…