Practical range of liquid manometers What is a typical upper limit for measurable differential pressure using a conventional liquid column manometer (e.g., mercury U-tube) expressed in psi?
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A20
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B30
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C40
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D50
Answer
Correct Answer: 50
Explanation
Introduction / Context:Liquid column manometers are simple, reliable devices for measuring differential pressure by balancing a pressure difference against the hydrostatic head of a fluid column. While they offer excellent accuracy for low to moderate differentials, practical considerations (column height, readability, density, and safety) limit their useful range.
Given Data / Assumptions:
- Typical fluids include water, manometer oils, or mercury (high density).
- “Conventional” implies standard lab or plant U-tube or inclined configurations, not specialized very tall installations.
- We are interested in a broadly cited upper bound.
Concept / Approach:Differential pressure ΔP corresponds to ρ * g * Δh. To measure higher ΔP with reasonable Δh, a dense manometric fluid like mercury is used. About 1 inHg ≈ 0.491 psi, so 50 psi corresponds to roughly 102 inHg of height difference, which is already unwieldy. Hence, around 50 psi is commonly viewed as a practical upper limit for conventional manometers; beyond this, mechanical or electronic differential pressure transmitters are preferred due to size and safety considerations.
Step-by-Step Solution:
Relate ΔP to column height using ΔP = ρ g Δh.Convert: 50 psi ≈ 102 inHg → a very tall but still illustrative upper bound.Conclude that roughly 50 psi is a practical ceiling for standard setups.Verification / Alternative check:Instrumentation handbooks treat manometers as best for low and moderate ΔP; industrial DP transmitters take over for higher ranges.
Why Other Options Are Wrong:
- 20–40 psi: Possible within manometer use, but 50 psi is the typical cited upper practical bound for conventional mercury columns.
Common Pitfalls:Ignoring scale readability, safety of mercury, and mounting height; theoretical capability does not imply convenient operation.
Final Answer:50