Worked example 1
A spot travels 3.6 cm while the solvent front travels 8.0 cm. Calculate the retention factor.
Try it first: Confirm both distances are measured from the same pencil start line.
0 of 3 steps revealed.
What you'll be able to do: Choose a separation technique from the properties of a mixture and interpret a chromatogram using retention factors.
Mixtures are separated by exploiting a difference in physical properties. Chromatography is the most versatile of these methods, and it rests on a single competition between two phases.
These are recommended, not required. You can start this lesson at any time.
| Mixture or task | Method | Property difference used |
|---|---|---|
| Insoluble solid plus liquid | Filtration | Particle size relative to filter pores |
| Recover nonvolatile dissolved solid | Evaporation or crystallization | Volatility or temperature-dependent solubility |
| Recover solvent or separate volatile liquids | Distillation | Relative volatility |
| Dissolved components with different phase preferences | Chromatography | Distribution between stationary and mobile phases |
| Solute distributed between immiscible liquids | Extraction | Relative solubility in the two phases |
A filter does not remove ordinary dissolved ions from saltwater because they pass through with the solvent. To recover salt, evaporate or crystallize; to recover water, collect condensed vapor by distillation. Specify what you want to recover before choosing a technique. These methods separate existing components without requiring a chemical transformation, although careless heating can cause unwanted decomposition.
During distillation the vapor is richer in the more volatile component, so condensation changes the mixture's composition. Simple distillation works best when volatilities differ substantially or a nonvolatile solute is present. Fractional distillation improves separation of closer-boiling liquids through repeated vaporization/condensation steps. A mixture does not necessarily separate completely merely because its pure components have different boiling points; azeotropes and similar volatilities can limit the method.
A stationary phase, such as the paper or a coated plate, stays fixed while a mobile phase, the solvent, moves through it. Every component is pulled two ways at once. A component that is held tightly by the stationary phase lags behind; one that prefers the solvent is carried along and ends up far up the plate.
In normal-phase TLC, the stationary phase is commonly polar silica and the eluent is the moving solvent mixture. A solute repeatedly adsorbs and returns to the solvent; stronger retention relative to solvation slows it. A high Rf means more travel under those specific conditions, not a universal label of “nonpolar.” Changing the solvent can change how strongly it competes with the surface for a component.
The retention factor, Rf, is the distance travelled by the component divided by the distance travelled by the solvent front, measured from the same starting line. It has no units and always lies between zero and one. Under identical conditions, Rf is characteristic of a substance and can be used to identify it.
Use the spot center and the marked solvent front, both measured from the pencil origin. If the origin is 1.0 cm above the plate bottom, a spot at 3.0 cm and front at 9.0 cm have traveled 2.0 and 8.0 cm, so Rf = 0.25 rather than 3/9. Mark the front immediately, keep the origin above the solvent reservoir and use small spots to reduce streaking. The ratio has no units.
Rf = distance moved by component / distance moved by solvent front
Two resolved spots establish at least two detectable components under the conditions of the run. One visible spot is consistent with a pure substance but does not prove it: multiple compounds can co-migrate, a minor impurity can be below detection, and a component may not appear under the chosen visualization method. The usual classroom statement that a pure, stable, detectable substance gives one spot is a one-way expectation, not a two-way purity test.
Compare an unknown with standards on the same plate. A matching Rf supports identity under those conditions, especially with compatible detection behavior, but additional evidence is needed. A second solvent system can separate components that overlapped in the first, and a different detection method can reveal a previously invisible impurity.
Two spots that travel together in one chromatographic solvent may be the same compound, but they may also be different compounds with coincidentally similar attraction to both phases. A second solvent system can change their relative migration.
State the stationary and mobile phases when comparing retention factors; one Rf value alone does not prove identity or purity.
The fixed material, often polar paper or silica, through which the solvent moves.
The moving solvent that carries components up the plate.
A unitless ratio between zero and one that characterises how far a component travelled.
Stronger attraction to the stationary phase means a shorter distance and a smaller Rf.
Rf = d_component / dsolvent
A spot travels 3.6 cm while the solvent front travels 8.0 cm. Calculate the retention factor.
Try it first: Confirm both distances are measured from the same pencil start line.
0 of 3 steps revealed.
Two dyes are run on polar paper. Dye A has Rf = 0.85 and dye B has Rf = 0.20. Which dye is more strongly attracted to the paper?
Try it first: Decide what a small Rf says about where the component spent its time.
0 of 3 steps revealed.
Unknown dye X and standard dye S each give Rf = 0.42 on one paper chromatogram. Can you conclude they are identical?
Try it first: Ask whether two different dyes could co-migrate.
0 of 3 steps revealed.
| Mistake | Why it's wrong | Check instead |
|---|---|---|
| Reporting an Rf greater than one. | A component cannot outrun the solvent that carries it. | Recheck which distance is on the bottom of the fraction. |
| Drawing the start line in ink. | The ink dissolves and runs, contaminating the chromatogram. | Always mark the start line in pencil. |
| Starting the plate with the spot below the solvent level. | The sample dissolves straight into the reservoir instead of travelling. | Keep the solvent level below the start line. |
Scroll horizontally if needed to read all columns.
After the lesson · Question bank
Work through new problems on your own. The lesson's quick checks and worked examples stay above if you need to review a step.
21 topic questions across 3 difficulty levels.
Loading practice questions…
Filtration, distillation, and chromatography each exploit a different physical property: particle size, boiling point, and relative attraction to two phases. In chromatography, a component that interacts more strongly with the mobile phase travels further and has a larger retention factor, calculated as the distance moved by the component divided by the distance moved by the solvent front.
Lesson: Not marked completed
Marking a lesson completed records that you finished reading it. Practice establishes mastery separately. Saved on this device.
Try a short set of different questions to check what you can do independently.
An optional video to support this lesson.
Loading video resources…
External resources belong to their respective creators. Chem Help is not affiliated with or endorsed by these providers. Links open the original provider; their terms apply.
Source attribution for this lesson has not been verified. Missing source records do not establish originality or reuse permission.