A two stage compressor is used to compress an ideal gas. The gas is cooled to the initial temperature after each stage. The intermediate pressure for the minimum total work requirement should be equal to the _____________ mean of P1 and P2.(where, P1 and P2 are initial and final pressures respectively) ?
Correct answer: A. Geometric
- A. Geometric
- B. Arithmetic
- C. Logarithmic
- D. Harmonic
Explanation
With intercooling back to the initial temperature, minimum total compression work occurs when the pressure ratios in both stages are equal: Pm/P₁ = P₂/Pm. Thus Pm = √(P₁P₂), the geometric mean.
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