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 4.68P
To determine
The mass flow rate of cooling rate.
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A 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 turbine
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
Power
Steam enters the first stage of the turbine illustrated in the Figure below at 40 bar and 500 ºC with a volumetric flow rate of 90 m3/min. The steam leaves the turbine at 20 bar and 400 ºC. The steam is then reheated to a constant temperature of 500 ºC before entering the second stage of the turbine. The steam leaves the second stage as saturated steam at 0.6 bar. For a steady state operation and ignoring heat losses and the effects of kinetic and potential energy, determine:a) The mass flow of steam.b) The Power produced by turbine 1.c) The power produced by the turbine 2.d) The rate of heat transfer to the heater.
Chapter 4 Solutions
Fundamentals Of Engineering Thermodynamics
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