1. The gas-turbine portion of a combined gas-steam power plant has a pressure ratio of 16. Air enters the com- pressor at 300 K at a rate of 14 kg/s and is heated to 1500 K in the combustion chamber. The combustion gases leaving the gas turbine are used to heat the steam to 400°C at 10 MPa in a heat exchanger. The combustion gases leave the heat exchanger at 420 K. The steam leaving the turbine is condensed at 15 kPa. Assuming all the compression and expansion processes to be isentropic, determine (a) the mass flow rate of the steam, (b) the thermal efficiency of the combined cycle. For air, assume Cp of air = 1.005 KJ/kg K, and k (isentropic) = 1.4

Elements Of Electromagnetics
7th Edition
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Author:Sadiku, Matthew N. O.
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Indicate your answers below. Use also the data below (Do not use the Steam Table if already given).
(Note: Create working equations/formulas, write substitutions -no shortcuts). Important: Please type or
write your answers in this first page of the exam or write a summary of your answers in your solution
sheets. Submit this first page with your solution sheets.
1.
The gas-turbine portion of a combined gas–steam
power plant has a pressure ratio of 16. Air enters the com-
pressor at 300 K at a rate of 14 kg/s and is heated to 1500 K
in the combustion chamber. The combustion gases leaving
the gas turbine are used to heat the steam to 400°C at 10
MPa in a heat exchanger. The combustion gases leave the
heat exchanger at 420 K. The steam leaving the turbine is
condensed at 15 kPa. Assuming all the compression and
expansion processes to be isentropic, determine (a) the mass
flow rate of the steam,
(b) the
thermal efficiency of the combined cycle. For air, assume
Cp of air = 1.005 KJ/kg K, and k (isentropic) = 1.4
Item
Answer
Unit
1.
Useful data:
a
Kg/s
IDEAL enthalpies of H2O:
b
%
Before the Steam Turbine:
h = 3096.5 kJ/kg
For an actual case, and all isentropic
efficiencies = 90% determine the following:
2.
Before the condenser:
h = 2011.22 kJ/kg
Actual thermal efficiency of the
Brayton Cycle:
%
Before the feedwater pump:
h= 225.94 kJ/kg
Actual thermal efficiency of the
Rankine Cycle (Note: Consider
the heat exchanger as a boiler):
Before the Heat Exchanger:
d
%
h= 236.07 kJ/kg
Actual thermal efficiency of the
combined actual cycles (Brayton
e
and Rankine)
%
Transcribed Image Text:Indicate your answers below. Use also the data below (Do not use the Steam Table if already given). (Note: Create working equations/formulas, write substitutions -no shortcuts). Important: Please type or write your answers in this first page of the exam or write a summary of your answers in your solution sheets. Submit this first page with your solution sheets. 1. The gas-turbine portion of a combined gas–steam power plant has a pressure ratio of 16. Air enters the com- pressor at 300 K at a rate of 14 kg/s and is heated to 1500 K in the combustion chamber. The combustion gases leaving the gas turbine are used to heat the steam to 400°C at 10 MPa in a heat exchanger. The combustion gases leave the heat exchanger at 420 K. The steam leaving the turbine is condensed at 15 kPa. Assuming all the compression and expansion processes to be isentropic, determine (a) the mass flow rate of the steam, (b) the thermal efficiency of the combined cycle. For air, assume Cp of air = 1.005 KJ/kg K, and k (isentropic) = 1.4 Item Answer Unit 1. Useful data: a Kg/s IDEAL enthalpies of H2O: b % Before the Steam Turbine: h = 3096.5 kJ/kg For an actual case, and all isentropic efficiencies = 90% determine the following: 2. Before the condenser: h = 2011.22 kJ/kg Actual thermal efficiency of the Brayton Cycle: % Before the feedwater pump: h= 225.94 kJ/kg Actual thermal efficiency of the Rankine Cycle (Note: Consider the heat exchanger as a boiler): Before the Heat Exchanger: d % h= 236.07 kJ/kg Actual thermal efficiency of the combined actual cycles (Brayton e and Rankine) %
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