An ideal Brayton cycle has inlet air at 300 K, 100 kPa and the combustion process adds 800 kJ/kg. The maximum temperature is 1400 K due to material considerations. Using standard-air properties, find the maximum permissible compression ratio (pressure ratio across the compressor) and the cycle efficiency. The Cv and R of the air is 716 J/kg-K and 287 J/kg-K.

the maximum permissible compression ratio (pressure ratio across the compressor) r = 11.525 and the cycle efficiency (η) = 0.5

Explanation:

adiabatic exponent k = 1.4 and air specific heat

The specific heat transfer q is given by the equation:

Substituting values:

the maximum permissible compression ratio (pressure ratio across the compressor) r is given by:

Substituting values:

r = 11.525

Exhaust temperature () =

the cycle efficiency (η) =

η =

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