For a perfect gas, what would be the optimal interstage pressures that would res

Question

For a perfect gas, what would be the optimal interstage pressures that would result in the minimum power for a three stage compressor (from P1 to P4), assuming no pressure drop across the intercoolers. What fraction of total work will of been done by each stage? For a perfect gas, what would be the optimal interstage pressures that would result in the minimum power for a three stage compressor (from P1 to P4), assuming no pressure drop across the intercoolers. What fraction of total work will of been done by each stage?

Explanation / Answer

P2 = P1 + (1/3)(P4-P1)

P3 = P1 + (2/3)(P4-P1)

Each stage will carry out 1/3 of the total work.

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