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A gas turbine has an isentropic efficiency of 83% and induces air in at atmospheric pressure and a temperature of 18 °C. The air is compressed to 5.5 bar before being heated to 827 °C at constant pressure conditions, and subsequently expanded through two stages in series back to atmospheric pressure. The compressor is powered by the high-pressure turbine, and the low-pressure stage powers an external load producing 150 kW of power. For both stages, the isentropic efficiency is 86%. Assume that the mass of the fuel is negligible. Taking y for the turbine and compressor as 1.3 and 1.4, respectively, and the gas constant as 0.287 kJ kg-¹K-¹, calculate: a. The inter-stage pressure of the turbines. b. The mass flow rate of air. The thermal efficiency of the cycle. d. Explain the effects of friction on the cycle with regards to power and thermal efficiency. Use appropriate schematics to illustrate your answer.

A gas turbine has an isentropic efficiency of 83% and induces air in at atmospheric pressure and a temperature of 18 °C. The air is compressed to 5.5 bar before being heated to 827 °C at constant pressure conditions, and subsequently expanded through two stages in series back to atmospheric pressure. The compressor is powered by the high-pressure turbine, and the low-pressure stage powers an external load producing 150 kW of power. For both stages, the isentropic efficiency is 86%. Assume that the mass of the fuel is negligible. Taking y for the turbine and compressor as 1.3 and 1.4, respectively, and the gas constant as 0.287 kJ kg-¹K-¹, calculate: a. The inter-stage pressure of the turbines. b. The mass flow rate of air. The thermal efficiency of the cycle. d. Explain the effects of friction on the cycle with regards to power and thermal efficiency. Use appropriate schematics to illustrate your answer.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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A gas turbine has an isentropic efficiency of 83% and induces air in at atmospheric pressure and a temperature of 18 °C. The air is compressed to 5.5 bar before being heated to 827 °C at constant pressure conditions, and subsequently expanded through two stages in series back to atmospheric pressure. The compressor is powered by the high-pressure turbine, and the low-pressure stage powers an external load producing 150 kW of power. For both stages, the isentropic efficiency is 86%. Assume that the mass of the fuel is negligible. Taking y for the turbine and compressor as 1.3 and 1.4, respectively, and the gas constant as 0.287 kJ kg-¹K-¹, calculate: a. The inter-stage pressure of the turbines. b. The mass flow rate of air. c. The thermal efficiency of the cycle. d. Explain the effects of friction on the cycle with regards to power and thermal efficiency. Use appropriate schematics to illustrate your answer.
Transcribed Image Text:A gas turbine has an isentropic efficiency of 83% and induces air in at atmospheric pressure and a temperature of 18 °C. The air is compressed to 5.5 bar before being heated to 827 °C at constant pressure conditions, and subsequently expanded through two stages in series back to atmospheric pressure. The compressor is powered by the high-pressure turbine, and the low-pressure stage powers an external load producing 150 kW of power. For both stages, the isentropic efficiency is 86%. Assume that the mass of the fuel is negligible. Taking y for the turbine and compressor as 1.3 and 1.4, respectively, and the gas constant as 0.287 kJ kg-¹K-¹, calculate: a. The inter-stage pressure of the turbines. b. The mass flow rate of air. c. The thermal efficiency of the cycle. d. Explain the effects of friction on the cycle with regards to power and thermal efficiency. Use appropriate schematics to illustrate your answer.
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