An ideal Brayton cycle, operating between the pressure limits of 1 bar and 6 bar, has minimum and maximum temperatures of 300 K and 1500 K. The ratio of specific heats of the working fluid is 1.4. The approximate final temperatures in Kelvin at the end of the compression and expansion processes are respectively

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BPSC AE Paper V Mechanical 2024 Official Paper

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Answer 1

Concept:

We use the isentropic relations for an ideal Brayton cycle to determine the final temperatures at the end of the compression and expansion processes.

Given:

Step 1: Calculate temperature at the end of compression (T₂)

The compression process is isentropic. The relation between temperature and pressure is:

Substitute the given values:

Step 2: Calculate temperature at the end of expansion (T₄)

The expansion process is also isentropic. The relation between temperature and pressure is:

Substitute the given values: