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A gas turbine developes 120kj of work while the compressor absorbed 60kj of work and the heat supplied is 200 kj .if a regenerator which would recover 40% of heat is the exhaust were used, then the increase in overall thermal efficiency would be?
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A gas turbine developes 120kj of work while the compressor absorbed 60...
Calculation of Thermal Efficiency:

  • Heat Supplied = 200 kJ

  • Work Developed = 120 kJ

  • Work Absorbed = 60 kJ

  • Efficiency = (Work Developed - Work Absorbed) / Heat Supplied

  • Efficiency = (120 - 60) / 200 = 0.3 or 30%



Effect of Regenerator:

  • Regenerator recovers 40% of the heat from the exhaust.

  • This heat is used to preheat the compressed air before it enters the combustion chamber.

  • This reduces the amount of heat needed to be supplied from the external source.

  • As a result, the overall thermal efficiency increases.



Calculation of New Thermal Efficiency:

  • Heat Supplied = 200 kJ - 40% of Exhaust Heat

  • Heat Supplied = 200 kJ - 0.4 * (120 kJ - 60 kJ) = 180 kJ

  • Efficiency = (Work Developed - Work Absorbed) / Heat Supplied

  • Efficiency = (120 - 60) / 180 = 0.33 or 33%



Conclusion:

  • The use of a regenerator in the gas turbine increases the overall thermal efficiency from 30% to 33%.

  • This is due to the recovery of waste heat from the exhaust and its utilization to preheat the compressed air.

  • The increase in efficiency results in a more efficient and cost-effective gas turbine.

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