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 4.50P
To determine
The mass flow rate of the air.
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Air 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.
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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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…
Chapter 4 Solutions
Fundamentals Of Engineering Thermodynamics
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- Steam enters the first-stage turbine shown in Figure (right) at 40 bar and 500°C with a volumetric flow rate of 90 m³/min. Steam exits the turbine at 20 bar and 400°C. The steam is then reheated at constant pressure to 500°C before entering the second-stage turbine. Steam leaves the second stage as saturated vapor at 0.6 bar. For operation at steady state, and ignoring stray heat transfer and kinetic and potential energy effects, determine the a. mass flow rate of the steam, in kg/h. b. total power produced by the two stages of the turbine, in kW. Steam + P₁ = 40 bar T₁=500°C (AV), -90 m³/min Turbine P=20 bar 7₂-400°C 2 Reheater Qecheater Turbine 20 bar T₁-500°C Saturated vapor. P4-0.6 bar Powerarrow_forwardSteady-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.arrow_forwardA steady-state system for producing power consist of a pump, heat exchanger and a turbine. Water at 1.0 bar and 20°C (state 1) enters the adiabatic pump and leaves at 10 bar (state 2). The pump draws 110 kW of power, and the mass flow rate of water is 45 kg/s. The water leaving the pump enters a heat exchanger and heated at constant pressure to 400°C (state 3) using exhaust gases (Cp of gases = 1.1 kJ/kgK) that enters at 500°C and exits at 182°C. The steam is adiabatically expanded in a turbine having an isentropic efficiency of 0.71. The turbine exhausts (state 4) to the surroundings at 1.0 bar. a.) What is the rate at which heat must be supplied from the heat source to the water to bring it to 400°C? b.) Determine the power produced by the turbinearrow_forward
- 4.30 Refrigerant 134a enters a heat exchanger operating ai steady state as a superheated vapour at 10 bars. 60°C. where it is cooled and condensed to saturated liquid at 10 bars. The mass flow rate of the refrigerant is 10 kg/min. A separate stream of air enters the heat exchanger at 37°C with a mass flow rate of 80 kg/min. Ignoring heat transfer from the outside of the heat exchanger and neglecting kinetic and potential energy effects, determine the exit air temperature, in °C.arrow_forwardDoes anyone know how to solve this problem? Any help will be appreciated. Thanksarrow_forwardSeparate 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.arrow_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_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
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