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The distribution ratio compares total analytical concentrations of a substance in two immiscible liquid phases at equilibrium.
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Formula
D dimensionless · both concentrations use the same unit, for example mol/L
| Symbol | Meaning | Unit |
|---|---|---|
| Analytical distribution ratio | dimensionless | |
| Total analyte concentration in the organic phase | mol/L | |
| Total analyte concentration in the aqueous phase | mol/L |
D=\frac{c_{org,ges}}{c_{aq,ges}}D is the ratio of total analytical concentrations in the organic and aqueous phases after phase equilibrium. For ionizable or complexing analytes, D may include several chemical species and can differ from the partition coefficient of one species. The two values can coincide for a simple neutral species. D depends on solvent, pH, temperature and matrix; it is not the chromatographic retention factor.
Two immiscible phases are at equilibrium and total analytical concentrations are defined comparably.
D is the ratio of total analyte concentrations in organic and aqueous phases.
Organic-phase concentration
Both concentrations refer to the same equilibrium system.
Given corg=18 mmol/L and caq=2.0 mmol/L, calculate D.
D=18/2.0=9.0; the value is dimensionless.
Equating D with the extracted fraction.
The fraction also depends on phase volumes; D is only the concentration ratio.
Formula cluster
D>1 means a higher concentration in the organic phase under this ratio convention.
At equilibrium, let corg,total=18 mmol/L and caq,total=2.0 mmol/L. Then D=18/2.0=9.0. Check: the concentrations use the same unit, which cancels. A large D favors the organic phase, but does not alone give the extracted fraction for particular phase volumes.
Select solvents and describe analyte distribution in analytical liquid–liquid extraction
Here is how to work through a typical Distribution Ratio in Liquid–Liquid Extraction (D = c_org,ges / c_aq,ges) task step by step:
Task
Given corg=18 mmol/L and caq=2.0 mmol/L, calculate D.
Solution path
D=18/2.0=9.0; the value is dimensionless.
The relation describes the equilibrium total-analyte concentrations between organic and aqueous phases. Its output is the ratio D relating one concentration to the other.. D>1 means a higher concentration in the organic phase under this ratio convention. It answers a bounded question and places Distribution Ratio in Liquid–Liquid Extraction in a defined measurement or model context. It does not replace a complete process or system description. State the reference quantity and conditions before interpreting the number; only then can you tell whether it represents an amount, correction or efficiency.
The quantities are corg,total is in the numerator and caq,total in the denominator. Their units are Both concentrations must use, for example, mmol/L or both mol/L.. Use values on the same reference basis; a ratio across inconsistent phases, time intervals or standards would not be meaningful. Check the dimension of every term before calculating and keep conversions visible. This shows whether the result should be dimensionless or carry a unit. Dimensional analysis cannot repair a bad measurement, but it catches many calculation errors early.
The stated validity is: D may include multiple dissolved forms when speciation occurs. The calculation requires equilibrium and the same definition of total analyte apply in both phases.. Outside this range, additional interactions, changed reference states or different geometries can alter the relation. If an assumption fails, do not transfer the result without qualification; name the limitation and use a more suitable model or measurement. This matters especially when comparing metrics collected under different experimental conditions. This assumption determines which samples and states the calculated value actually represents, so report it alongside the numerical result.
A representative case is: 18 divided by 2 gives D=9.0. The check gives: Units cancel, and a high value indicates stronger organic distribution.. Write substituted values with units, then put the result back into the original relation or balance. A successful check still depends on the model assumptions. Also test whether limiting cases behave plausibly, for example whether an ideal limit is recovered or a balance returns the overall composition. These checks are more informative than merely rounding to several decimal places. For an additional plausibility check, change one input at a time and confirm that the result moves in the expected direction.
A nearby concept is the chromatographic retention factor.. The key difference is that D compares phase concentrations after extraction; k′ describes retention in a chromatography column. Both relations may appear in related problems, but they answer different questions and do not automatically use the same data. Choose the equation by the requested output: D>1 means a higher concentration in the organic phase under this ratio convention. If a problem asks for the chromatographic retention factor. instead, use that definition. This distinction prevents similarly named metrics or models from being treated as interchangeable. This distinction also determines which measurements, reference states and intermediate steps must be documented for a reproducible analysis.
Quanta exam set
Curated exam set for "Distribution Ratio in Liquid–Liquid Extraction":
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Which formula describes Distribution Ratio in Liquid–Liquid Extraction?
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How do you rearrange Distribution Ratio in Liquid–Liquid Extraction for Organic-phase concentration?
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Which common mistake happens with Distribution Ratio in Liquid–Liquid Extraction?
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