Fundamentals Of Engineering Thermodynamics
9th Edition
ISBN: 9781119391388
Author: MORAN, Michael J., SHAPIRO, Howard N., Boettner, Daisie D., Bailey, Margaret B.
Publisher: Wiley,
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Chapter 4, Problem 4.46CU
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Steady-state operating data are provided for a compressor and heat exchanger in the figure below. The power input to the compressor is 50 kW. As shown in the figure, nitrogen (N2) flows through the compressor and heat exchanger with mass flow rate of 0.25 kg/s. The nitrogen is modeled as an ideal gas. A separate cooling stream of helium, modeled as an ideal gas with k=1.67, also flows through the heat exchanger. Stray heat transfer and kinetic and potential energy effects are negligible.
Find:
a) Enthalpy change of Nitrogen from inlet to the compressor and exit from Heat exchanger, ( ℎ1-ℎ3) in kJ/kg,
b) Enthalpy change of Helium from inlet to and exit from Heat exchanger, (ℎ5-ℎ4) in kJ/kg,
c) Mass flow rate of the helium in kg/s.
Separate streams of air and water flow through the compressor and heat exchanger arrangement shown in the figure below, where m˙1= 0.6 kg/s and T6= 50°C. Steady-state operating data are provided on the figure. Heat transfer with the surroundings can be neglected, as can all kinetic and potential energy effects. The air is modeled as an ideal gas.
Determine:(a) the total power for both compressors, in kW.(b) the mass flow rate of the water, in kg/s.
Steam at a pressure of 0.08 bar and a quality of 93.2% enters a shell-and-tube heat exchanger where it condenses on the outside of
tubes through which cooling water flows, exiting as saturated liquid at 0.08 bar. The mass flow rate of the condensing steam is 5.8 x
105 kg/h. Cooling water enters the tubes at 15°C and exits at 35°C with negligible change in pressure.
Neglecting stray heat transfer and ignoring kinetic and potential energy effects, determine the mass flow rate of the cooling water, in
kg/h, for steady-state operation.
mwater = i
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Chapter 4 Solutions
Fundamentals Of Engineering Thermodynamics
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- I need help going through the process to solve this problem, I think I have a general idea, but want to make sure I am doing it correctly. A counterflow heat exchanger operates at steady state while being well-insulated from the surroundings with air and ammonia flowing in separate streams. Ammonia enters at state 1 with -30°C and a quality of 30% and exits at state 2 as saturated vapor at -30°C. Air enters at state 3 with pressure 1 bar and temperature 295 K and exits at state 4 with pressure 1 bar and temperature 265 K. The flow rate of air is 10 kg/s. Ignore kinetic and potential energy effects, and take the dead state as 1 bar and 300 K. a. Describe the heat transfer inside the heat exchanger (what is transferring heat to what?) b. Determine the specific enthalpy of each state, in kJ/kg. c. Determine the mass flow rate of ammonia, in kg/s. d. Determine the rate of exergy destruction within the heat exchanger, in kW.e. Devise and evaluate an exergetic efficiency for the heat…arrow_forwardAir as an ideal gas flows through the compressor and heat exchanger shown in the figure. A separate liquid stream also flows through the heat exchanger. The data given are for operation at steady state. Stray heat transfer to the surroundings can be neglected, as can all kinetic and potential energy changes. Determine the compressor power, in kW, and the mass flow rate of the cooling water, in kg/s.arrow_forwardSeparate streams of steam and air flow through the turbine and heat exchanger arrangement shown in the figure below, where ins = 1500 kg/min and W;1 = 8,000 kW,. Steady-state operating data are provided on the figure. Heat transfer with the surroundings can be neglected, as can all kinetic and potential energy effects. Wn W2 = ? Turbine Turbine 2 P3 = 10 bar T3 =? T = 240°C T2 = 400°C P2= 10 bar P4=1 bar www Steam in 2 T = 600°C PI = 20 bar Ts = 1500 K -5 Ps = 1.35 bar 9. Heat exchanger V T6 = 1200 K P6 = 1 bar Air in Determine: (a) T3, in K. (b) the power output of the second turbine, in kW.arrow_forward
- Turbines, compressors, boilers, condensers, and heat exchangers operate for long periods of time under the same conditions, and they are classified as __________ flow devices.arrow_forwardDetermine the temperature of the entering steam, in oC.For the overall heat exchanger as the control volume, what is the rate of heat transfer, in kW. Step by step solution please thank you.arrow_forwardC by Water (heat capacity = 4.174 kJ/kg: ° C) at a rate of 10 kg/min is heated from 20 ° C to 60 ° oil that has a specific heat of 1.9 kJ/kg: ° C. The oil enters the shell side of the heat exchanger at 120 ° C and leaves at 70 ° C. The overall heat transfer coefficient is 350 W/m2 · ° C. (a) Use the log mean temperature difference method to calculate the heat exchanger area if a counter flow double pipe heat exchanger is used. (b) Use the effectiveness-NTU method to calculate the heat exchanger area if a counter flow double pipe t heat exchanger is used. (c) Use the log mean temperature difference method to calculate the heat exchanger area if a 2-4 shell and tube heat exchanger is used. (d) Use the effectiveness-NTU method to calculate the heat exchanger area if a 2-4 shell and tube heat exchanger is used.arrow_forward
- I need help with parts 1 through 3 for this problem.arrow_forwardA small nuclear reactor is cooled by passing liquid sodium liquid sodium out of the reactor at 2 bar and 400 ° C. It is cooled to 320 ° C by passing through a heat exchanger before returning to the reactor. In the heat exchanger heat is transferred from the sodium to the water, which enters the exchanger at 100 bar and 49 ° C and exits at the same pressure as saturated steam. The mass flow of sodium is 10,000 kg / h, its specific heat is constant and is 1.25 kJ / kg "C and the pressure drop is negligible. Determine (a) the mass flow in kg / h of evaporated water. in the heat exchanger. and (b) the heat flux transferred between the two fluids in kJ / h Neglect the variations of kinetic and potential energy through it.arrow_forwardOil enters a counterflow heat exchanger at 525 K with a mass flow rate of 10 kg/s and exits at 350 K. A separate stream of liquid water enters at 20°C, 5 bar. Each stream experiences no significant change in pressure. Stray heat transfer with the surroundings of the heat exchanger and kinetic and potential energy effects can be ignored. The specific heat of the oil is constant, c= 2 kJ/kg · K. If the designer wants to ensure no water vapor is present in the exiting water stream, what is the minimum mass flow rate for the water, in kg/s? mwater,min = i kg/sarrow_forward
- Oil enters a counterflow heat exchanger at 600 K with a mass flow rate of 10 kg/s and exits at 350 K. A separate stream of liquid water enters at 20°C, 5 bar. Each stream experiences no significant change in pressure. Stray heat transfer with the surroundings of the heat exchanger and kinetic and potential energy effects can be ignored. The specific heat of the oil is constant, c = 2 kJ/kg · K. If the designer wants to ensure no water vapor is present in the exiting water stream, what is the minimum mass flow rate for the water, in kg/s?arrow_forwardA heat exchanger as shown in Figure 1 is used for an air conditioning system that is working through chilled water. Hot air at 1 bar and 42 °C enters the heat exchanger at a volume flowrate of 1 m /s leaving at 21 °C. The chilled water enters the heat exchanger at 4°C and 1.5 bar and leaves as warm water at 12 °C and same pressure. The heat transfer from the outer surface of the heat exchanger is neglected. Similarly, the kinetic and potential energy difference in both the air and water at the inlet and exit is negligible. Assume constant specific heat for both the water and air. At steady-state operation, determine: (a) The mass flow rate of the water, and (b) The rate of heat transfer between the water and the air in kW. Hot Air P3=1 bar T3 V3 Chilled Water P,=1.5 bar Conditioned Air P=1 bar T warm Water P,=1.5 bar T2 Figure 1 steady-state operation heat exchangerarrow_forwardExpert Q&A A counterflow heat exchanger operates at steady state while being well-insulated from the surroundings with air and ammonia flowing in separate streams. Ammonia enters at state 1 with -20°C and a quality of 20% and exits at state 2 as saturated vapor at -20°C. Air enters at state 3 with pressure 1 bar and temperature 295 K and exits at state 4 with pressure 1 bar and temperature 265 K. The flow rate of air is 10 kg/s. Ignore kinetic and potential energy effects, and take the dead state as 1 bar and 300 K. a. Sketch states 1 and 2 on a T-s diagram, including the liquid-vapor dome. b. Describe the heat transfer inside the heat exchanger (what is transferring heat to what?) c. Determine the specific enthalpy of each state, in kJ/kg. d. Determine the mass flow rate of ammonia, in kg/s. e. Determine the rate of exergy destruction within the heat exchanger, in kW. f. Devise and evaluate an exergetic efficiency for the heat exchanger. Donearrow_forward
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