Reactivity 3 — What are the mechanisms of chemical change?
Inquiry 2: Collecting and processing data — IB Chemistry SL Revision Notes & Topical Questions
10 min read 18 parts Lesson 10 of 12 Unit quiz
Lesson summary
Inquiry 2: Processing data, uncertainties and presenting results — IB CHEMISTRY SL notes: Process raw chemistry data into averages and rates, propagate uncertainties and present results with correct significant figures and graphs.Raw data table — the first table, containing only …
- Sufficient data
- Qualitative data
- Typical observations
- Use as evidence
- Issues during collection
- Anomalous result
Part 1 of 8Recording raw data
Raw data table
- Raw data table the first table, containing only direct measurements with no calculations.
Title
- Title specific to the experiment.
Headers
- Headers quantity, unit and uncertainty go in the column headings, not in each cell.
Precision
- Precision record to the precision of the instrument, with the same decimal places in a whole column.
Burette
- Burette readings to two decimal places, with the last digit 0 or 5, for example 24.50 cm3.
Balance
- Balance a balance reading to two decimal places gives masses such as 5.00 g, never 5 g.
Sufficient data
- Sufficient data at least five values of the independent variable, with at least three repeats of each.
Part 2 of 8Qualitative observations
Qualitative data
- Qualitative data non-numerical observations recorded alongside the numbers.
Typical observations
- Typical observations colour changes, effervescence, formation of a precipitate, soot during combustion and noticeable temperature changes.
Use as evidence
- Use as evidence observations help explain unexpected results and errors in the analysis and evaluation.
Issues during collection
- Issues during collection record problems such as a reaction that is too fast or slow, or a gradual endpoint.
Anomalous result
- Anomalous result record it, do a further trial to get concordant results, and do not erase it.
- Its exclusion is justified later.
Part 3 of 8Processing raw data
1Processed data
- Processed data new, clearly labelled table separate from the raw data.
2Working
- Working show one full set of working for each type of calculation, even if a spreadsheet is used.
3Units
- Units every calculated value has correct units, and a new quantity such as a rate needs derived units (for example s−1 or mol dm−3 s−1).
1
Average the repeat trials, leaving out any justified anomalous result.
2
Calculate the quantity of interest, for example rate = 1 / time.
3
Propagate the uncertainty through each calculation.
4
Round the final value to a suitable number of significant figures.
Part 4 of 8Averages in titrations
Concordant titres
- Concordant titres only titres within 0.10 cm3 of each other are averaged.
Rough titre
- Rough titre always excluded from the average.
Anomalous titres
- Anomalous titres excluded as well.
Titre
- Titre final burette reading minus initial burette reading.
Dilution
- Dilution if the sample was diluted, multiply the calculated concentration by the dilution factor.
Part 5 of 8Propagating uncertainty
1Addition or subtraction
- Addition or subtraction add the absolute uncertainties.
- A titre uses two burette readings, so the uncertainty is 0.05 + 0.05 = 0.10 cm3.
2Multiplication or division
- Multiplication or division add the percentage uncertainties.
- For n = C × V, the percentage uncertainty in n is that in C plus that in V.
3Reciprocal
- Reciprocal for rate = 1 / t, the percentage uncertainty in the rate equals the percentage uncertainty in time.
4Powers (HL)
- Powers (HL) multiply the percentage uncertainty by the power.
5Final uncertainty
- Final uncertainty quote it to one significant figure and give the result to the same number of decimal places.
6Sample calculation
- Sample calculation show the propagation for the main processed result.
Part 6 of 8Significant figures in processed results
1Rule
- Rule the final answer has the same number of significant figures as the least precise data used.
2Calculator display
- Calculator display never write down the full display.
3Constants
- Constants a constant such as the Avogadro constant is used with its defined number of significant figures and does not limit precision.
4Intermediate values
- Intermediate values keep the calculator value until the final answer to avoid rounding errors.
Part 7 of 8Presenting results as a graph
Presenting results as a graph
Title
- Title describes the relationship investigated.
Axes
- Axes independent variable on x, dependent variable on y, with quantities and units.
Scale
- Scale appropriate, linear, and using at least half of the space.
Points
- Points clearly plotted, usually as a small x or a point in a circle.
Line of best fit
- Line of best fit a smooth line or curve showing the overall trend, with about equal numbers of points on each side.
Gradient
- Gradient can represent a key value, for example the rate constant k from a rate against concentration graph for a first-order reaction.
Intercept
- Intercept the value of the dependent variable when the independent variable is zero.
Area under a curve
- Area under a curve a total quantity such as the number of particles in a Maxwell–Boltzmann curve.
Error bars
- Error bars their size shows precision, and large bars suggest significant random error.
Part 8 of 8More from the specification
1Quantitative Data Collection and Experimental Accuracy
- In scientific chemistry inquiry, gathering sufficient quantitative raw data with high measurement accuracy is essential to answer a focused research question reliably.
2Disappearing Cross Experiment with Sodium Thiosulfate
- In reaction kinetics investigations, the reaction between sodium thiosulfate and hydrochloric acid produces a cloudy sulfur precipitate;
- timing how long it takes for a black cross to disappear allows quantitative rate analysis.
3Acid-Base Titration of Commercial Vinegar
- Determining the concentration of ethanoic acid in household vinegar involves volumetric titration with standard sodium hydroxide solution, calculating mean concordant titres for rigorous data interpretation.
4Scientific Interpretation of Experimental Results
- Interpreting results requires analyzing graphs, identifying anomalous data points, calculating percentage errors,
- and formulating evidence-based scientific conclusions that evaluate methodological validity.
5Vinegar
- An ethanoic acid solution of about 5%.
6Accuracy
- Closeness of a result to the true value.
Key terms
| Term | Meaning |
|---|---|
| Raw data | Measurements exactly as recorded from the instrument. |
| Processed data | Raw data after calculation, such as averages and rates. |
| Propagated uncertainty | Uncertainty in a calculated result found by combining the uncertainties of the measured values. |
| Significant figures | Meaningful digits in a number, set by the least precise measurement. |
| Concordant titres | Titres within 0.10 cm3 of each other. |
| Error bar | A bar on a graph point showing its uncertainty. |
| Anomalous result | A value clearly outside the pattern of the other repeats. |
| Intercept | The point where a line crosses an axis. |
Avoid these mistakes
1
Quoting final answers with more significant figures than the least precise data allow.
2
Adding absolute uncertainties when multiplying — percentage uncertainties are added for multiplication and division.
3
Omitting units for calculated quantities such as rate.
4
Removing an anomalous result without stating the reason.
5
Recording raw data to the wrong number of decimal places for the instrument.
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