Height Equivalent to a Theoretical Plate (HETP):\nWhich operating and hardware variables does the experimentally measured HETP depend upon in gas–liquid operations (distillation, absorption/stripping, humidification/dehumidification)?

Difficulty: Easy

Correct Answer: All of the above (flow rates, packing type/size, and concentrations)

Explanation:


Introduction / Context:
HETP translates packed-column performance into an equivalent number of ideal stages. Designers use HETP to size column height once the number of theoretical plates is determined from equilibrium calculations (McCabe–Thiele or rigorous VLE mass transfer models).



Given Data / Assumptions:

  • Packed column handling two phases (gas and liquid).
  • Measured HETP reflects hydrodynamics and mass transfer under specific test conditions.
  • We consider practical dependencies observed in industry.


Concept / Approach:
HETP is not a universal constant. It depends on packing geometry (random saddles, rings, structured packing), packing size (surface area and void fraction), flow rates (affecting film thickness, wetting, and flooding proximity), and mixture properties/compositions (affecting diffusivities, interfacial tension, and equilibrium slopes).



Step-by-Step Solution:

Packing type/size sets a baseline mass transfer area a and pressure drop per meter.Flow rates determine hydrodynamic regime (loading/flooding) and interfacial renewal → changes k_G, k_L, and overall K-values.Compositions alter equilibrium slopes (m-values) and driving forces → effective height per stage changes.


Verification / Alternative check:
Vendor charts provide HETP ranges for the same packing at different liquid/gas loads and compositions, confirming multi-factor dependence.



Why Other Options Are Wrong:

  • Only one factor (a, b, or c) is incomplete; practice shows all three matter.
  • “Constant HETP”: unrealistic outside a narrow operating window.


Common Pitfalls:
Using catalog HETP without correcting for system properties; ignoring scale-up effects and maldistribution.



Final Answer:
All of the above (flow rates, packing type/size, and concentrations)

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