If a centrifugal compressor has suction pressure of 3 psi and discharge pressure of 10 psi, with atmospheric pressure 14.7 psi, the ratio of absolute discharge pressure to absolute suction pressure is closest to:

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Multiple Choice

If a centrifugal compressor has suction pressure of 3 psi and discharge pressure of 10 psi, with atmospheric pressure 14.7 psi, the ratio of absolute discharge pressure to absolute suction pressure is closest to:

Explanation:
The ratio uses absolute pressures, so convert the given gauge pressures to psia by adding atmospheric pressure. Absolute suction pressure = 3 + 14.7 = 17.7 psia. Absolute discharge pressure = 10 + 14.7 = 24.7 psia. Divide: 24.7 / 17.7 ≈ 1.395, which is about 1.40 and closest to 1.39. Using gauge values alone would give a misleading result (for example, 10/3 ≈ 3.33 or other missteps), but the correct approach is adding atmospheric pressure to both pressures before forming the ratio.

The ratio uses absolute pressures, so convert the given gauge pressures to psia by adding atmospheric pressure. Absolute suction pressure = 3 + 14.7 = 17.7 psia. Absolute discharge pressure = 10 + 14.7 = 24.7 psia. Divide: 24.7 / 17.7 ≈ 1.395, which is about 1.40 and closest to 1.39. Using gauge values alone would give a misleading result (for example, 10/3 ≈ 3.33 or other missteps), but the correct approach is adding atmospheric pressure to both pressures before forming the ratio.

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