FUND OF ENG THERMODYN(LLF)+WILEYPLUS
9th Edition
ISBN: 9781119391777
Author: MORAN
Publisher: WILEY
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Two reversible power cycles are arranged in series. The first cycle receives energy by heat transfer from a reservoir at temperature TH and rejects energy to a reservoir at an intermediate temperature T. The second cycle receives the energy rejected by the first cycle from the reservoir at temperature T and rejects energy to a reservoir at temperature TC lower than T. Derive an expression for the intermediate temperature T in terms of TH and TC when,a. The net works of the two power cycles are equalb. The thermal efficiencies of the two power cycles are equal
MBES141/Thamodynamics
Exercise 5.29
At steady state, a power cycle receives energy by heat transfer
at an average temperature of 463°C and discharges energy by heat transfer
to a river. Upstream of the power plant the river has a volumetric flow rate
of 67.87 m³/s and a temperature of 20°C. From environmental
considerations, the temperature of the river downstream of the plant can
be no more than 22°C. Determine the maximum theoretical power that
can be developed, in MW, subject to this constraint.
The refrigerator shown in the figure below operates at steady state with a coefficient of performance (COP) of 5.0 within a kitchen at 23 °C. The refrigerator rejects 4.8 kW by heat transfer to its surroundings from metal coils located on its exterior. Determine:
(a) the power input, in kW.(b) the lowest theoretical temperature inside the refrigerator, in K.
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- A power cycle operates between two thermal reservoirs at 1200 K and 400 K, respectively. For each of the three cases below, determine: (i) The net power produced by the cycle, in kW; (ii) The thermal efficiency; and (iii) Use the Clausius inequality and comparisons to the thermal efficiency of a reversible cycle operating between the given temperatures to determine whether the cycle operates in a reversible or irreversible manner, or is impossible. case | QH(kJ/s) | QL(kJ/s) A | 600 | 400 B | 600 | 0 C | 600 | 200arrow_forwardAt steady state, a reversible heat pump cycle discharges energy at the rate Q˙H to a hot reservoir at temperature TH, while receiving energy at the rate Q˙C from a cold reservoir at temperature TC.(a) If TH = 10°C and TC = 2°C, determine the coefficient of performance.(b) If Q˙H= 15 kW, Q˙C= 8.75 kW, and TC = 0°C, determine TH, in °C.(c) If the coefficient of performance is 5 and TH = 27°C, determine TC, in °C.arrow_forwardA heat pump cycle is used to maintain the interior of a building at 25°C. At steady state, the heat pump receives energy by heat transfer from well water at 9°C and discharges energy by heat transfer to the building at a rate of 120,000 kJ/h. Over a period of 14 days, an electric meter records that 1500 kW · h of electricity is provided to the heat pump.Determine:(a) the amount of energy that the heat pump receives over the 14-day period from the well water by heat transfer, in kJ.(b) the heat pump’s coefficient of performance.(c) the coefficient of performance of a reversible heat pump cycle operating between hot and cold reservoirs at 25°C and 9°C.arrow_forward
- 2. A power cycle receives energy QH by heat transfer from a hot reservoir at TH = 1200 R and rejects energy QC by heat transfer to a cold reservoir at TC = 400 R. For each of the following cases, determine whether the cycle operates reversibly, operates irreversibly, or is impossible. (a) QH = 900 Btu, Wcycle = 450 Btu (b) QH = 900 Btu, QC = 300 Btu (c) Wcycle = 600 Btu, QC = 400 Btu (d) Eff. = 70%arrow_forwardAt steady state, a reversible heat pump cycle discharges energy at the rate QH to a hot reservoir at temperature TH, while receiving energy at the rate Oc from a cold reservoir at temperature Tc. (a) If TH = 16°C and Tc = 2°C, determine the coefficient of performance. (b) If OH = 20 kW, Oc = 8.75 kW, and Tc= 0°C, determine TH, in °C. (c) If the coefficient of performance is 20 and TH = 27°C, determine Tc, in °C.arrow_forwardA reversible heat pump cycle operates at steady state between hot and cold reservoirs at TH = 30°C and Tc 10°C, respectively. The rate of heat transfer at the high temperature is 10 kW. a. Determine the net power input, in kW. b. Determine the heat transfer rate from the cold reservoir at Tc, in kW. c. Determine the coefficient of performance of the cycle.arrow_forward
- I need some help in how to solve this problem. Any help will be appreciated. Thanksarrow_forwardQ2/ A power cycle operating between two reservoirs receives energy Qi by heat transfer from a hot reservoir at T 1000K and rejects energy Q2 by heat transfer to a cold reservoir at Tz-200K For each of the following cases, determine whether the cycle operates reversibly, irreversibly, or is impossible. (a) QI = 500KJ, W 350KJ (b) Q1 = 1000KJ, Q2 200KJ (c) W= 800KJ, Q2 = 500KJ (d) 7 = 95 % %3D %3Darrow_forwardAt steady state, a refrigeration cycle operating between hot and cold reservoirs at 300 K and 235 K, respectively, removes energy by heat transfer from the cold reservoir at a rate of 100 kw. (a) If the cycle's coefficient of performance is 4, determine the power input required, in kW. (b) Determine the minimum theoretical power required, in kW, for any such cycle.arrow_forward
- A gas within a piston–cylinder assembly undergoes a thermodynamic cycle consisting of three processes in series, beginning at state 1 where m = 0.5 kg, p1 = 1 bar, V1 = 1.5 m3, as follows: Process 1–2: Compression with pV = constant, W12 = -102 kJ, u1 = 424 kJ/kg, u2 = 780 kJ/kg. Process 2–3: W23 = 0, Q23 = -150 kJ. Process 3–1: W31 = 48 kJ. There are no changes in kinetic or potential energy. Determine Q12 and Q31, each in kJ.arrow_forwardA gas within a piston–cylinder assembly undergoes a thermodynamic cycle consisting of three processes in series, beginning at state 1 where m = 0.5 kg, p1 = 1 bar, V1 = 1.5 m3, as follows: Process 1–2: Compression with pV = constant, W12 = -102 kJ, u1 = 424 kJ/kg, u2 = 780 kJ/kg. Process 2–3: W23 = 0, Q23 = -150 kJ. Process 3–1: W31 = 48 kJ. There are no changes in kinetic or potential energy. Draw all processes schemes and a p-V diagramsarrow_forwardAt steady state, a heat pump provides energy by heat transfer at the rate of 25,000 Btu/h to maintain a dwelling at 70°F on a day when the outside temperature is 30°F. The power input to the heat pump is 4.5 hp.Determine:(a) the coefficient of performance of the heat pump.(b) the coefficient of performance of a reversible heat pump operating between hot and cold reservoirs at 70°F and 30°F, respectively, and the corresponding rate at which energy would be provided by heat transfer to the dwelling for a power input of 4.5 hp.arrow_forward
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