Question An ideal Brayton cycle with regeneration has a pressure ratio of 10. Air enters the compressor at 300 K and the turbine at 1200 K. If the effectiveness of the regenerator is 100 percent, determine the net work output and the thermal efficiency of the cycle. Account for the variation of specific heats with temperature.

PX5PK9 The Asker · Mechanical Engineering

An ideal Brayton cycle with regeneration has a pressure
ratio of 10. Air enters the compressor at 300 K and the
turbine at 1200 K. If the effectiveness of the regenerator is
100 percent, determine the net work output and the thermal
efficiency of the cycle. Account for the variation of specific
heats with temperature.

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Step 1Given data:*The pressure ratio of the cycle is r=10.*The initial temperature of the air is T1=300 K.*The temperature of the air when reaching at turbine is T3=1200 K.*The effectiveness of the regenerator is 100 percent. The enthalpy and relative pressure of the saturated air at the entrance of the compressor obtains from the steam table.At 300 K.h1=300.19 kJ/kg.P1=1.386 Pa.Thus, the relative pressure at the combustion chamber is,{:[P_(2)=r xxP_(1)],[=10 xx1.386Pa],[=13.86Pa]:}Thus, the enthalpy of the air at state 2 is,h2=579.89 kJ/kg. The enthalpy and relative pressure of the air at state 3 obtains from the turbine ... See the full answer