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Question

In a Brayton cycle, maximum and minimum temperatures are 1300 K and 295 K respectively. If the compressor and turbine efficiencies are 0.88 and 0.92 respectively, the optimum pressure ratio for maximum work output is _____
  1. 9.26

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Solution

The correct option is A 9.26
Maximum temp, Tmax=1300K

Manimum temp, Tmin=295K

Comressor efficiencyηc=0.88K

Turbine efficiency,ητ=0.92

Optimum pressure ratio,ropt=(ηcητTmaxTmin)γ2(γ1)=(0.88×0.92×1300295)1.42(1.41)

= 9.26

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