Topic: Thermodynamics
For a two stage reciprocating compressor, compression from P1 to P3 is with perfect inter cooling and no pressure losses. If compression in both the cylinders follows the same polytropic process and the atmospheric pressure is Pa, then the intermediate pressure P2 is given by
- A. P2 = (P1 + P3) / Pa
- B. P2 = $\sqrt{P1 * P3}$
- C. P2 = Pa * $\sqrt{P3 / P1}$
- D. P2 = Pa * $\sqrt{P1 / P3}$
Answer: B. P2 = $\sqrt{P1 * P3}$
Explanation: For perfect inter-cooling, intermediate pressure P2 is the geometric mean of initial and final pressures: P2 = $\sqrt{P1 * P3}$.