A gas turbine draws in air from atmosphere at 1 bar and 150C and compresses it to 4.5 bar. The air is heated to 1100 K at constant pressure and then expanded through two stages in series back to 1 bar. The high pressure turbine is connected to the compressor and produces just enough power to drive it. The low pressure stage is connected to an external load and produces 100 kW of power. For the compressor y= 1.4 and for the turbines y = 1.3. The gas constant is 0.287 kJ/kg K for both. Neglect the increase in mass due to the addition of fuel for burning. Assume the specific heat of the gas in the combustion chamber is the same as that for the turbines. Calculate the following. i. The specific heat Cp of the air and the burned mixture. (1.005 and 1.243) ii. The mass flow of air. (0.407 kg/s) 111. The inter-stage pressure of the turbines. (2.67 bar) iv. The thermal efficiency of the cycle. (30%)

A gas turbine draws in air from atmosphere at 1 bar and 150C and compresses it to 4.5 bar. The air is heated to 1100 K at constant pressure and then expanded through two stages in series back to 1 bar. The high pressure turbine is connected to the compressor and produces just enough power to drive it. The low pressure stage is connected to an external load and produces 100 kW of power. For the compressor y= 1.4 and for the turbines y = 1.3. The gas constant is 0.287 kJ/kg K for both. Neglect the increase in mass due to the addition of fuel for burning. Assume the specific heat of the gas in the combustion chamber is the same as that for the turbines. Calculate the following. i. The specific heat Cp of the air and the burned mixture. (1.005 and 1.243) ii. The mass flow of air. (0.407 kg/s) 111. The inter-stage pressure of the turbines. (2.67 bar) iv. The thermal efficiency of the cycle. (30%)

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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Question

A gas turbine draws in air from atmosphere at 1 bar and 150C and compresses it to
4.5 bar. The air is heated to 1100 K at constant pressure and then expanded through
two stages in series back to 1 bar. The high pressure turbine is connected to the
compressor and produces just enough power to drive it. The low pressure stage is
connected to an external load and produces 100 kW of power.
For the compressor y= 1.4 and for the turbines y = 1.3.
The gas constant is 0.287 kJ/kg K for both.
Neglect the increase in mass due to the addition of fuel for burning. Assume the
specific heat of the gas in the combustion chamber is the same as that for the
turbines.
Calculate the following.
i.
The specific heat
Cp
of the air and the burned mixture. (1.005 and 1.243)
ii. The mass flow of air. (0.407 kg/s)
111. The inter-stage pressure of the turbines. (2.67 bar)
iv. The thermal efficiency of the cycle. (30%)

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