The optimum pressure ratio for maximum net work in a simple Brayton cycle depends on the maximum and minimum cycle temperatures and the specific heat ratio. This is found by maximizing the net work output equation with respect to the pressure ratio.
In a Brayton cycle, the value of optimum pressure ratio (rₚ) for maximum net work done between temperature T₁ and T₃ is, (where T₃ is maximum temperature and T₁ is minimum temperature)
Asked in Assistant Eng. (Mechanical) Competitive Examination, 2023 · Topic: Heat and Thermodynamics (Second Law of Thermodynamics (Entropy, Heat Engines, Refrigerators, Carnot Cycle))
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Answer: C. $r_p = (\frac{T_3}{T_1})^{\frac{\gamma} {2(\gamma-1)}}$
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