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7.5Reactivity 3 — What are the mechanisms of chemical change?

Inquiry 2 & 3: Collecting, Processing, Concluding and Evaluating — IB Chemistry SL Revision Notes & Topical Questions

10 min read 12 parts Lesson 9 of 12 Unit quiz

📚 IB Chemistry SL Hub / Topical Revision
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Curriculum Equation Key قوانين الرقم الهيدروجيني والاتزان الأيوني - pH & Acid-Base Equilibrium FormulasFast Exam Solution
pH = -log[H⁺] | pOH = -log[OH⁻] | pH + pOH = 14 | [H⁺][OH⁻] = 10⁻¹⁴
Word Equation & Conditions: الرقم الهيدروجيني = -لوغاريتم تركيز أيون الهيدروجين | pH + pOH = 14
Location & Specifications: الاتزان الأيوني، كيمياء 3 ثانوي، التحصيلي، و AP Chemistry.
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Lesson summary

7.5 Inquiry 2 & 3: Collecting, Processing, Concluding and Evaluating — IB SL Notes — IB CHEMISTRY SL notes: Record and process raw data with uncertainties, interpret graphs, draw evidence-based conclusions and evaluate errors with realistic improvements.Raw data table — the first…

  • Table standards
  • Sufficient data
  • Recording rule
  • Importance
  • Colour changes
  • Gas evolution

Section 1 of 12Collecting quantitative data

Raw data table
  • Raw data table the first table, containing only direct measurements as taken, with no calculation, rounding or averaging.
Table standards
  • Table standards a specific numbered title, labelled columns for the independent and dependent variables,
    • and the quantity, symbol, units and absolute uncertainty in the column header, not in the body.
Precision
  • Precision every value to the precision of the instrument, e.g. a burette to two decimal places (24.50 cm3, last digit 0 or 5) and a two-decimal balance as 5.00 g.
Sufficient data
  • Sufficient data at least five increments of the independent variable and at least three repeats of each.
Recording rule
  • Recording rule never calculate in the head or on scrap paper;
    • record initial and final burette readings, not just the titre.

Section 2 of 12Collecting qualitative data

Importance
  • Importance qualitative observations give context and evidence for explaining unexpected results and errors.
Colour changes
  • Colour changes of solutions and precipitates, e.g. a persistent pale pink at a titration end point.
Gas evolution
  • Gas evolution effervescence, odour and rate of bubbling.
Temperature
  • Temperature noticeable changes such as a warm beaker.
Precipitates and soot
  • Precipitates and soot formation of a precipitate, or soot showing incomplete combustion.

Section 3 of 12Addressing problems during collection

1Principle
  • Principle notice problems as they happen, record them and respond.
2Reaction too fast or too slow
  • Reaction too fast or too slow adjust the concentration and record the change and reason.
3Outlier
  • Outlier record it, do an extra trial to get concordant results and justify its exclusion later without erasing it.
4Hard-to-judge end point
  • Hard-to-judge end point note the gradual colour change as a limitation to discuss in the evaluation.

Section 4 of 12Processing data

1
Layout
  • Layout show raw and processed data in separate, labelled tables, and show one full worked calculation of each type.
2
Mean
  • Mean for repeats, x̄ = Σxi ÷ N, and for titrations average only concordant titres (within ±0.10 cm3), excluding the rough and any anomalous titre.
3
Exclusion
  • Exclusion clearly anomalous points are excluded with a stated justification.
4
Addition and subtraction
  • Addition and subtraction add absolute uncertainties, so a titre from two ±0.05 cm3 readings has ±0.10 cm3.
5
Multiplication and division
  • Multiplication and division add percentage uncertainties, as for n = c × V.
6
Reciprocal
  • Reciprocal rate = 1/t has the same percentage uncertainty as t.
7
Percentage uncertainty
(absolute uncertainty ÷ measured value) × 100.
8
Reporting
  • Reporting give the uncertainty to 1 significant figure, quote the result to the same decimal places, show units,
    • and derive units for new quantities such as rate in s−1.
9
Significant figures
  • Significant figures the answer has the same number of significant figures as the least precise data, not the full calculator display.

Section 5 of 12Graphs

Graphs
Required features
  • Required features a specific title, the independent variable on x and the dependent variable on y, labelled axes with units, linear scales using at least half the grid,
    • and clearly plotted points.
Line of best fit
  • Line of best fit a single smooth line or curve showing the trend, with points roughly balanced on either side, not dot-to-dot.
Gradient
  • Gradient can represent a key value, such as the rate constant k from a rate against concentration graph for a first-order reaction.
Y-intercept
  • Y-intercept the value of the dependent variable when the independent variable is zero.
Area
  • Area can represent a total, as under a Maxwell-Boltzmann curve.
Error bars
  • Error bars large bars indicate large random error, and a line passing through all bars indicates a good fit.

Section 6 of 12Interpreting results

1Two steps
  • Two steps describe the trend, then explain it with chemistry.
2Describing
  • Describing use terms such as linear positive correlation, inversely proportional, exponential increase and plateau.
3Explaining
  • Explaining link to collision theory, transition state theory, Le Chatelier's principle or intermolecular forces.
4Anomalies
  • Anomalies highlight them on the graph and justify them with a likely cause, such as a delay in starting the stopwatch.
5Combined evidence
  • Combined evidence qualitative and quantitative data together, e.g. soot explains a low enthalpy of combustion.
TermMeaningLinked to
AccuracyCloseness to the accepted value, needing a literature valueSystematic errors
PrecisionCloseness of repeats to each otherRandom errors
ReliabilityConsistent, concordant repeatsRepeat trials
ValidityA fair test with other variables controlledMethod design

Section 7 of 12Writing the conclusion

1Direct answer
  • Direct answer start by answering the research question using the trend found in the analysis.
2Evidence
  • Evidence include key processed data such as the final concentration, gradient or enthalpy change, with its uncertainty.
3Hypothesis
  • Hypothesis state explicitly whether the results support or refute it, and a refuted hypothesis is a valid finding, not a failed experiment.
4Science context
  • Science context relate the findings to chemical principles and compare with a literature value from the IB Data Booklet or a reliable source, citing it.
5Percentage error
|(experimental − literature)| ÷ literature × 100.
6Error against uncertainty
  • Error against uncertainty if the error is no larger than the total percentage uncertainty, random measurement uncertainty explains the difference;
    • if it is larger, significant systematic error was present.
7Within range
  • Within range if the literature value lies within the experimental uncertainty, the result is consistent with it.
8Discipline
  • Discipline be concise, add no new ideas and claim only what the data shows, stating when data are inconclusive.

Section 8 of 12Random and systematic errors

FeatureRandom errorSystematic error
CauseUnpredictable fluctuations, human reaction timeFaulty set-up, uncalibrated apparatus, wrong assumption
EffectScatter around the line of best fitResults consistently too high or too low
Reduced byMore repeats and averagingChanging the method or apparatus; averaging does not help
ExamplesStopwatch timing, judging an end point, reading a meniscusHeat loss, an uncalibrated balance, incomplete combustion, evaporation of a volatile reagent
Random and systematic errors
Weaknesses
  • Weaknesses aspects of the method causing significant error, such as using glass instead of polystyrene in calorimetry.
Limitations
  • Limitations factors that limit the scope of the conclusion, such as having tested only a few alcohols.
Assumptions
  • Assumptions simplifications that are not perfectly true, such as taking solutions to have the specific heat capacity and density of water.

Section 9 of 12Evaluating the investigation

1Hypothesis
  • Hypothesis evaluate the strength of its support in the light of scatter and errors.
2Prioritise
  • Prioritise focus on the one or two errors with the largest impact, such as heat loss in calorimetry rather than balance precision.
3Be specific
  • Be specific avoid blaming human error and name the source, e.g. parallax in reading a measuring cylinder meniscus.
4Close the loop
  • Close the loop for each weakness explain its impact on the result and then give an improvement.
5Improvements
  • Improvements must be relevant and realistic in a school laboratory,
    • such as a lid and draught shield for heat loss, a more precise balance or probe,
    • or an automated sensor instead of visual end-point timing.
6Unrealistic examples
  • Unrealistic examples a bomb calorimeter is not a realistic improvement for a school.
7Own data
  • Own data refer to your own results, graphs and observations rather than writing a generic evaluation.
8Extensions
  • Extensions new questions building on the findings, such as other homologous series, a wider temperature range or different catalyst surface.

Section 10 of 12More from the specification

1
Interpretation
  • Interpretation describe the overall trend in the data and explain it using scientific theory, such as collision theory for rate
2
Processing data
  • Processing data calculate averages, plot graphs with best-fit lines and propagate uncertainties
3
Sodium thiosulfate
  • Sodium thiosulfate reacts with acid to give a sulfur precipitate, so the time for a cross to disappear measures the rate
4
Evaluation
  • Evaluation assess systematic and random errors, such as vinegar concentration variation in a titration, and suggest improvements and further work
5
Interpretation
  • Interpretation describe the overall trend in the data and explain it using scientific theory, such as collision theory for rate
6
Processing data
  • Processing data calculate averages, plot graphs with best-fit lines and propagate uncertainties
7
Sodium thiosulfate
  • Sodium thiosulfate reacts with acid to give a sulfur precipitate, so the time for a cross to disappear measures the rate
8
Evaluation
  • Evaluation assess systematic and random errors, such as vinegar concentration variation in a titration, and suggest improvements and further work
9
Vinegar
  • An ethanoic acid solution of about 5%.

Section 11 of 12Key terms

TermMeaning
Absolute uncertaintyThe ± margin on a measurement, in the same units.
Percentage uncertaintyThe absolute uncertainty divided by the measurement × 100.
Concordant resultsTitres agreeing within ±0.10 cm3.
Percentage errorThe difference between experimental and literature value as a percentage of the literature value.
Random errorUnpredictable variation causing scatter, reduced by repeats.
Systematic errorA consistent bias in one direction that averaging does not remove.
ValidityWhether the method was a fair test with other variables controlled.

Section 12 of 12Exam technique

1
Putting units or uncertainties in every table entry — they belong in the column header.
2
Averaging the rough titre or an anomalous result — use only concordant titres.
3
Claiming repeats reduce systematic error — they only reduce random error.
4
Offering be more careful as an improvement — give a specific change to the apparatus or method.

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