The question: A gas turbine has an isentropic efficiency of 83% and induces air in at atmospheric pressure and a temperature of 18 oC. The air is compressed to 5.5 bar before being heated to 827 oC 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 γ for the turbine and compressor as 1.3 and 1.4, respectively, and the gas constant as 0.287 kJ kg-1K-1. I need help answering the following: 1. You need to calculate the inter-stage pressure of the turbines. 2. You need to calculate the mass flow rate of air. 3. You need to calculate the thermal efficiency of the cycle.
The question:
A gas turbine has an isentropic efficiency of 83% and induces air in at atmospheric pressure and a temperature of 18 oC. The air is compressed to 5.5 bar before being heated to 827 oC 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 γ for the turbine and compressor as 1.3 and 1.4, respectively, and the gas constant as 0.287 kJ kg-1K-1.
I need help answering the following:
1. You need to calculate the inter-stage pressure of the turbines.
2. You need to calculate the mass flow rate of air.
3. You need to calculate the thermal efficiency of the cycle.
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