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In a gas turbine, the turbine output is 600 kJ/kg, the compressor work is 400 kJ/kg and the heat supplied is 1000 kJ/kg. The thermal efficiency of this cycle is:

  • A.20%
  • B.40%
  • C.60%
  • D.80%

Answer: A

The thermal efficiency is 20%.

The net work is the turbine output minus the compressor work, and efficiency is net work over heat supplied.

\[ \begin{aligned} W_{net} &= 600 - 400 = 200\ \text{kJ/kg} \\ \eta &= \frac{200}{1000} = 20\% \end{aligned} \]

60% uses the turbine output alone and 40% the compressor work alone, forgetting that the compressor is driven by the turbine.

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