A gas-turbine power plant operating on an ideal Brayton cycle has a pressure ratio of(10.2). Air enters the compressor at 100 kPa, 300 K, with a volumetric flow rate of11 m3/s. The turbine inlet temperature is 1460 K.Universal gas constant (R) = 8.314 J K-1 mol-1, molar mass of air (M) = 28.97 g mol-1Neglecting all pressure losses, changes in kinetic energy determine;1. the thermal efficiency of the cycle2. the back work ratio3. the net power developed, in kW.4. Suppose in actual situation, the compressor has isentropic efficiency of 75 percent andthe turbine has isentropic efficiency of 80 percent because of irreversibilities present.Compare and evaluate the actual plant and theoretical efficiencies accounting for anydiscrepancies found.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A gas-turbine power plant operating on an ideal Brayton cycle has a pressure ratio of
(10.2). Air enters the compressor at 100 kPa, 300 K, with a volumetric flow rate of
11 m3/s. The turbine inlet temperature is 1460 K.
Universal gas constant (R) = 8.314 J K-1 mol-1, molar mass of air (M) = 28.97 g mol-1
Neglecting all pressure losses, changes in kinetic energy determine;
1. the thermal efficiency of the cycle
2. the back work ratio
3. the net power developed, in kW.
4. Suppose in actual situation, the compressor has isentropic efficiency of 75 percent and
the turbine has isentropic efficiency of 80 percent because of irreversibilities present.
Compare and evaluate the actual plant and theoretical efficiencies accounting for any
discrepancies found.

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