Difficulty: Easy
Correct Answer: 5
Explanation:
Introduction / Context:
Downcomers in tray columns carry liquid from one tray to the next. Adequate residence time in the downcomer is essential for hydraulic stability, foam collapse, and gas–liquid disengagement. Designers use a minimum recommended residence time to avoid backup and weeping/flooding issues.
Given Data / Assumptions:
Concept / Approach:
Empirical guidelines suggest a minimum downcomer residence time around a few seconds to allow hydrodynamic stabilization. Too short a residence time raises downcomer exit turbulence and can lead to jet entrainment onto the next tray, while too long wastes area.
Step-by-Step Solution:
Select a commonly accepted minimum residence time for typical tray columns.Industry practice often targets roughly 3–5 s, with 5 s used as a conservative minimum for design.Hence the recommended value is about 5 seconds.
Verification / Alternative check:
Tray hydraulics correlations (e.g., capacity and weeping/flooding checks) are consistent with several seconds of residence for stable downcomer operation, especially at turndown conditions.
Why Other Options Are Wrong:
2.5: Often too short; increases risk of instability and entrainment.7.5 / 12.5 / 17.5: Unnecessarily large; wastes cross-sectional area and can reduce tray active area.
Common Pitfalls:
Treating residence time independently of froth height and downcomer backup.Ignoring turndown—columns need stability over a range of rates.Using a single value without cross-checking with backup height and capacity limits.
Final Answer:
5
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