Van Deemter equation — What key operating parameter can be identified from a Van Deemter plot (plate height H versus linear velocity u)?
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AThe selectivity factor (alpha) for two analytes
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BOptimum mobile-phase linear velocity (flow rate) that minimizes H
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COptimum column oven temperature for all analytes
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DOptimum column length for resolution
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EThe exact distribution constant (K) for an analyte
Answer
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.