GATE Mechanical Engineering (ME) 2020 Shift 1 Solved Paper

Question : 14 of 65

Marks: +1, -0

The compressor of a gas turbine plant, operating on an ideal intercooled Brayton cycle accomplishes an overall compression ratio of 6 in a two-stage compression process. Intercooling is used to cool the air coming out from the first stage to the inlet temperature of the first stage, before its entry to the second stage. Air enters the compressor at

300 {K}

and

100 {kPa}

. If the properties of gas are constant, the intercooling pressure for minimum compressor work _________

{kPa}

(round off to 2 decimal places).

Your Answer:

Validate

Solution:

Pressure after

1^{\;\text "st "\;}

stage compression

( {P}_{2})

for perfect intercooling.
Overall pressure ratio

(r_{p})

overall

=6

(r_{p})_{\;\text "overall "\;}=\;{P_{3}}/{P_{1}}

For perfect intercooling, intermediate pressure

( {P}_{2})=√{ {P}_{1} {P}_{3}}

P_{1}=100 {kPa}

P_{3}=6 {P}_{1}=600 {kPa}

{P}_{2}=√{100 × 600}

= {P}_{2}=244.9 {kPa}

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