Van Deemter equation — What key operating parameter can be identified from a Van Deemter plot (plate height H versus linear velocity u)?

Difficulty: Easy

Correct Answer: Optimum mobile-phase linear velocity (flow rate) that minimizes H

Explanation:


Introduction / Context:
The Van Deemter equation relates plate height (H) to linear velocity (u) via contributions from eddy diffusion (A), longitudinal diffusion (B/u), and mass-transfer resistance (Cu). Plotting H against u reveals where a column operates most efficiently.


Given Data / Assumptions:

  • H = A + B/u + Cu describes band broadening mechanisms.
  • The minimum of the H–u curve corresponds to maximum efficiency (highest N).
  • Flow rate is proportional to linear velocity for a given column geometry and gas.


Concept / Approach:
By scanning linear velocity and measuring peak widths, one obtains a Van Deemter curve. The minimum in this plot indicates the optimum linear velocity (and thus flow) that gives the smallest H (largest N) under the tested conditions.


Step-by-Step Solution:

Measure plate height at several linear velocities.Plot H versus u and locate the minimum point.Read the corresponding u; convert to flow if needed.Operate near this u to balance diffusion and mass-transfer terms.


Verification / Alternative check:
Method robustness studies show narrower peaks and better resolution near the H minimum; deviating to very high or very low u worsens peak broadening as predicted.


Why Other Options Are Wrong:

  • Selectivity (alpha) depends on phase chemistry and temperature, not directly on H–u plots.
  • Oven temperature and column length are optimized by other considerations.
  • Distribution constants require retention data, not just H vs u.


Common Pitfalls:
Assuming the minimum is identical for all analytes; multicomponent mixtures may favor a compromise u near, but not exactly at, the global minimum.


Final Answer:
Optimum mobile-phase linear velocity (flow rate) that minimizes H.

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