At steady state, a reversible heat pump cycle discharges energy at the rate Qu to a hot reservoir at temperature TH, while receivingenergy at the rate Qc from a cold reservoir at temperature Tc.(a) If TH= 10°C and Tc = 2°C, determine the coefficient of performance.(b) If ¿µ = 10.5 kW, O :8.75 kW, and Tc=0°C, determine TH, in °C.(c) If the coefficient of performance is 12 and TH= 27°C, determine Tc, in °C.

Answered: Image /qna-images/answer/e8a82fb4-e22c-4b7a-99f0-2ff2c2d1a03a.jpg

Answered: At steady state, a reversible heat pump…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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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%
Three return steam lines in a chemical processing plant enter a collection tank operating at steady state at 9 bar. Steam enters inlet 1 with flow rate of 2 kg/s and quality of 0.9. Steam enters inlet 2 with flow rate of 2 kg/s at 200°C. Steam enters inlet 3 with flow rate of 1.2 kg/s at 95°C. Steam exits the tank at 9 bar. The rate of heat transfer from the collection tank is 40 kW.Neglecting kinetic and potential energy effects, determine for the steam exiting the tank:(a) the mass flow rate, in kg/s.(b) the temperature, in °C.
Determine the Efficiency, in %, of a simple rankine cycle. Use: 8 MPa and 480 C (Table 3. Vapor) h1 = 3348.4 kJ/kg s1 = 6.6586 kJ/kg – K 2 MPa (Table 3. Vapor; note: s1 = s2) h2 = 2963.145 kJ/kg 2 MPa and 460 C (Table 3. Vapor; note: s3 = s4) h3 = 3379.5 kJ/kg s3 = 7.3147 kJ/kg – K 60C (Table 1. Saturation Temperatures) P5 = 0.019940 MPa = 19.94 kPa hf = 251.13 kJ/kg = h5 hfg = 2358.5 kJ/kg sf = 0.8312 kJ/kg – K sfg = 7.0784 kJ/kg – K vf = 0.0010172 m3/kg = v5 Solving for h4 s3 = s4 = sf + xsfg 7.3147 kJ/kg – K = 0.8312 kJ/kg – K + x (7.0784 kJ/kg – K) x = 0.9159555832 h4 = hf + x(hfg) h4 = 251.13 kJ/kg + 0.9159555832 (2358.5 kJ/kg) h4 = 2411.411243 kJ/kg Solving for h6 h6 = v5 (P6 – P5) + h5 h6 = 0.0010172 m3/kg (8000 kN/m2 – 19.94 kN/m2) + 251.13 kJ/kg h6 = 8.117317032 kJ/kg + 251.13 kJ/kg h6 = 259.247317 kJ/kg
At 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 1000 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
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At steady state, a refrigeration cycle removes 800 kJ/min of energy by heat transfer from acold space maintained at -15o C and discharges energy by heat transfer to its surroundings at20o C. If the coefficient of performance of the actual cycle is 80 percent of that of areversible refrigeration cycle (ideal) operating between thermal reservoirs at these twotemperatures (β = 0.80 βmax), determine:a) Coefficient of performance;b) Power input to the cycle, in kW;c) Heat rejected to the surroundings.Draw sketch and show all calculations.
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Use the following conversions where necessary:1hp = 745.7W; ρwater = 1000 kg/m3; ρmercury = 13600 kg/m3; 1 atm = 101.325 kPa; Cp (water) = 4.18 kJ/kg °C; g = 9.81m/s2; For properties of air, use R = 0.287 kJ/kg K; Cv (air) = 0.718 kJ/kg K; Cp (air) =1.005 kJ/kg K air enters a pipe at 25 °C, 100 kPa with a volumetric flow rate of 23 m3/h. On the outer pipe surface is an electrical resistor covered with insulation. With a voltage of 120 V, the resistor draws a current of 4 amps. Assuming the ideal gas model with cp = 1.005 kJ/kg - K for air and ignoring kinetic and potential energy effects, determine i. the mass flow rate of the air, in kg/h ii. the temperature of the air at the exit, in °C
At steady state, a power cycle develops a net power output of 20kW while receiving energy by heat transfer at a rate of 20kJ per cycle of operation from a source at a temperature T. The cycle rejects energy by heat transfer to cooling water at a lower temperature of 5mm K. If there are 1nn (engine thermodynamic) cycles per minute, what is the minimum theoretical value for T, in K?Note: mm=40 nn = mm + 50

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