GATE ME 2014 Set 2 — Question 56
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Thermodynamics → Power Cycles → Brayton Cycle
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Question
In an ideal Brayton cycle, atmospheric air (ratio of specific heats, , specific heat at constant pressure = ) at and is compressed to . The maximum temperature in the cycle is limited to . If the heat is supplied at the rate of , the mass flow rate (in kg/s) of air required in the cycle is _______
Correct answer
105 to 112
Solution
Step-by-step solution:
Using the isentropic relation:
Given and .
The mass flow rate is approximately .
1.Identify the states in the Brayton cycle:
- State 1: Inlet to compressor (, )
- State 2: Exit of compressor ()
- State 3: Inlet to turbine (Maximum temperature )
Using the isentropic relation:
3.Relate heat supply rate to mass flow rate:
The heat addition occurs at constant pressure between states 2 and 3.Given and .
4.Solve for mass flow rate ():
The mass flow rate is approximately .
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