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SCIENCE · INVESTIGATE AND EXPLAIN

Test mixture proposals with matched chromatograms

Use bounded relative migration and changed conditions to distinguish compatible hypotheses from identified substances.

Learning outcome: Calculate Rf with reading bounds, account for every spot and test co-migration with a second mobile-phase condition.

Starting recap

Chromatography distributes components between stationary and moving phases. Distance traveled depends on both interactions and the conditions used.

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Try

Two different standards occupy the same position in one condition. An unknown matching that position does not uniquely identify either standard.

Open the experiment

Predict

Predict which proposals could survive when A and D co-migrate, and what second-condition evidence would reject one. Predict how doubling front distance affects central Rf versus its reading bound.

Experiment

Under condition 1 test A+C, D+C and A+D+C, recording your reasoning. Keep the proposal while switching to condition 2 and inspect missing/extra-position checks. Compare short and long fronts with the same ±1 mm bounds.

Test a chromatographic composition proposal

Original synthetic chromatograms · bounded positional comparison · Original synthetic planar-chromatography records, not measured chemicals. Same stationary phase and matched standards per plate; two unspecified mobile-phase conditions. Bounded ±1 mm center/front reading errors. Positional compatibility ignores intensity, detection limits, unknown unlisted compounds and mixture-induced shifts; it cannot establish identity or purity.

Reset keeps your prediction, captures and practice history.

Compare the unknown with standards on the same plate

Mobile phase 1, front 40 mm. Distances are read upward from the same origin line. All values are original synthetic records. The spot-center and front readings each carry an assigned ±1 mm bound, not a confidence interval or a physical spot width.

020406080100Vertical distance from origin (mm), fixed 0–100 scaleDashed line: solvent front 40 ± 1 mm. Origin line: 0 mm.ABCDUnknownProposalMarker size is symbolic; coincident components can overlap without increasing a count.The proposal lane is a calculated comparison, not an additional measured lane.
SpotCenter ± bound (mm)Center RfConservative Rf bounds
A8 ± 10.20000.1707–0.2308
B22 ± 10.55000.5122–0.5897
C32 ± 10.80000.7561–0.8462
D8 ± 10.20000.1707–0.2308
Unknown spot 18 ± 10.20000.1707–0.2308
Unknown spot 232 ± 10.80000.7561–0.8462

Rf = spot-center distance / front distance. For unknown spot 1: 8/40 = 0.2000. Its conservative bounds are (8−1)/(40+1) and (8+1)/(40−1). The common front makes ratios on the same plate correlated; do not treat these separate bounds as independent statistical errors.

Try to reject your proposal

D + C: positionally compatible with this record. Same-plate matching compares center distances directly: two ±1 mm intervals can meet when centers differ by at most 2 mm. Every observed unknown position must have a proposed match and every proposed component must have an observed match. Coincident components are allowed; this is not a one-spot/one-substance assumption.

Unaccounted observed positions: none. Proposed standard positions without observed match: none.

Condition 1 makes A and D indistinguishable by position. Try A+C, D+C and A+D+C, then retain each proposal while changing to condition 2. A second condition can reject a candidate that the first allowed. It still cannot exclude unlisted co-migrating substances or prove purity.

Longer-front records preserve the prescribed central Rf values but narrow the relative effect of the same ±1 mm reading bound. This does not predict real band broadening, migration kinetics or improved separation in every experiment. Comparing raw distances across different front lengths would confuse run length with relative migration.

Why changing a phase can change the evidence

Chromatographic separation depends on relative interactions with both stationary and mobile phases. A component retained more strongly by the stationary phase relative to the mobile phase tends to migrate less under those conditions. A new mobile phase can change relative behavior; Rf is not a context-free substance constant. The packet does not specify solvent identities or predict Rf from molecular structures.

Royal Society of Chemistry: stationary and mobile phases

The synthetic records assume comparable loading and detection, no reaction, and no mixture-induced shift. Marker sizes and intensity carry no amount or purity information. Additional validated analytical evidence is needed for identification.

Proposal is positionally compatible with this plate.

Unaccounted observed spots: 0; proposed standard positions without observed match: 0. A matching Rf is not a unique chemical identity; compare changed conditions and independent evidence.

Captures retain the synthetic matched-plate record and your composition proposal. Replay reconstructs positional checks and bounded ratios; it does not identify a real substance, certify purity or record a physical experiment.

Understand

A matching spot need not identify a substance

The first synthetic plate contains standards A, B, C and D plus an unknown. A and D both travel 8 mm while the solvent front travels 40 mm. The unknown has centers at 8 and 32 mm. Predict whether these observations can distinguish A+C, D+C and A+D+C.

Select each proposal. The activity checks whether every observed unknown position is accounted for and whether every proposed component has a matching observed position. Coincident components can share a spot, so the number of visible positions is not automatically the number of substances. This is a supplied original evidence packet, not an experiment performed in the browser.

Compare relative movement under matched conditions

In planar chromatography, Rf = distance from origin to spot center / distance from origin to solvent front. Both distances use the same baseline. For A in the first plate, 8/40=0.200. The ratio is dimensionless, normally between zero and one in this setting.

The longer record under the same condition has A at 16 mm and front at 80 mm: Rf remains 0.200. Comparing raw spot distances across these two runs would confound relative migration with distance traveled by the solvent. Conversely, a change of mobile phase can change Rf even when the labeled standard remains the same.

Each plate compares its standards and unknown under the same stipulated stationary/mobile conditions. Do not match an unknown in condition 2 against a standard’s Rf from condition 1 as though Rf were a universal property independent of the method.

Keep reading bounds distinct from spot width

The packet assigns ±1 mm to each center and front reading. These are bounded reading uncertainties, not measured band widths or 95% confidence intervals. A conservative ratio interval is (d−1)/(F+1) to (d+1)/(F−1), where d is center distance and F is front distance.

For 8±1 mm and 40±1 mm, this gives 7/41≈0.1707 to 9/39≈0.2308. For 16±1 and 80±1, it narrows to 15/81≈0.1852 to 17/79≈0.2152. The central ratio is unchanged while the relative effect of the same absolute reading bound is smaller.

Standards and unknown share a front on one plate, so their ratio uncertainties are correlated. The matching rule therefore compares center distances directly: two ±1 mm intervals can overlap when their centers differ by at most 2 mm. It does not treat separate Rf intervals as independent probabilities or calculate a confidence score for identity.

Change the condition to discriminate

Keep D+C selected and move from mobile phase 1 to mobile phase 2. In the 40 mm-front record, A is now at 18 mm, D at 14 mm and C at 28 mm. The unknown centers are 18 and 28 mm. D no longer matches the lower observed position within the assigned bounds. A+D+C also predicts an unmatched D position.

This second condition rejects alternatives the first record could not distinguish. A+C remains positionally compatible within the listed candidates, but that does not prove a unique chemical identity: an unlisted compound could co-migrate, an undetected component could be present, or the assumed matching conditions could fail. Retain your first proposal and changed-condition explanation in captures rather than rewriting the first record as if you had known the answer.

Connect migration to molecular interactions

Chromatography relies on distribution between stationary and mobile phases. Greater attraction to the stationary phase relative to the mobile phase tends to reduce migration under those conditions. Changing the mobile phase changes the competition; it may change the relative spacing or ordering of components. Considering only “solubility in the solvent” omits the stationary-phase interaction.

The records do not identify specific solvents, molecular structures or stationary-phase chemistry. They illustrate what matched comparisons can establish, without pretending to calculate migration from structure. A real method would also require controlled loading, development and detection conditions. The plotted marker size and darkness are symbolic, not abundance measurements.

The existing dissolution and filtration ledger separates material by solubility and physical filtration. Chromatography adds differential phase interactions and analytical comparison. This small plate does not demonstrate recovery of the whole mixture or a preparative yield.

Choose a separation principle, not only a piece of equipment

Ordinary filtration can retain suspended particles but does not separate molecularly dissolved components of a true liquid solution. Chromatography can use paper, a thin stationary layer or a packed column; their common principle is differing stationary/mobile interactions, not a universal rule that every polar component moves least. The polarity inference requires the specified phases.

Distillation instead uses differing tendencies to enter the vapor: component interactions affect vapor pressures and therefore vapor composition. Condensing a vapor enriched in one component can produce a composition different from the starting liquid. Enrichment is not a guarantee of complete separation, and mixtures can have nonideal limitations. This is conceptual analysis only, not a heating, collection or solvent-handling procedure. Current CED 3.9.A.1 i–ii, printed p.68, visually checked 31 October 2026.

Original vapor packet: A fictional binary liquid has equal amounts of A and B. At its stipulated comparison condition, the equilibrium vapor has partial pressures 60 and 20 pressure units and obeys the ideal-gas mixture relation. Find its A fraction. Does this show that a single condensed vapor sample is pure A? What if the vapor pressures were equal instead?

Check enrichment versus purity

The vapor A fraction is 60/(60+20)=0.75, compared with the liquid's 0.50: A is enriched, not pure. Condensing that sample without loss or reaction preserves its two-component composition. Equal partial pressures would give an A fraction of 0.50 and no enrichment at that supplied condition. These records provide no operating temperatures, collection design or claim that repeated stages always reach purity.

Transfer and sources

An unfamiliar record has an 18±1 mm spot and a 60±1 mm front. Calculate its ratio bounds, then explain why a matching standard is supportive but not conclusive. Propose an independent analytical comparison that would challenge a competing composition claim.

The candidate-comparison model assumes matched loading/detection, no reaction and no mixture-induced positional shift. It ignores intensities and detection limits. No identity, purity, recovery or physical laboratory completion is certified by a compatible proposal.

Infer polarity only when the phases and comparison are supplied

A separate original virtual plate uses a polar stationary phase and a relatively nonpolar mobile phase. Two neutral analytes have comparable size, no ionization and otherwise matched interaction opportunities. Under these deliberately restricted conditions, the analyte interacting more strongly with the polar stationary phase is retained longer and migrates less. Greater relative polarity is one supported explanation for that stronger attraction, not a conclusion from an unlabeled plate alone.

Changed supplied record: In this matched-phase case A migrates 0.20 and B 0.70 of the solvent-front distance. Infer the more strongly retained analyte and conditional polarity ordering. Then the mobile phase becomes more polar: must those two fractions and their separation remain unchanged?

Check retention versus a universal polarity rule

A is more strongly retained and, under the stated matched-analyte assumptions, is consistent with greater polarity. A more polar mobile phase can compete differently for stationary-phase interactions and change analyte solvation, migration and separation; the original fractions cannot simply be reused. Other stationary phases, ionization or specific binding can reverse a simple ordering. No solvent recipe or physical operation is assigned.

This supplied-phase inference supplements the earlier unknown-phase identity packet; it does not retroactively supply missing phase evidence to that packet. Current CED 3.9.A.1, checked 31 October 2026, requires phase-specific chromatographic reasoning.

Apply

In a new synthetic plate, front travel is 60±1 mm and the unknown center is 18±1 mm. A standard has the same central Rf. What follows?

Public practice checks a specific claim. It does not establish independent mastery.

Explain why matching Rf is compatibility rather than proof of identity or purity. Distinguish phase selectivity, run length, bounded reading error and unmodeled detection limits; propose independent follow-up evidence.

Continue

Completion requires a saved prediction, at least one capture and a reflection. Presence checks do not grade your reasoning.

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