IB Chemistry SL Topic 7 — Technology Paper 1 & 2 Practical skill ~12 min read

Using Technology to Process Data

A spreadsheet is not faster arithmetic. It is arithmetic that does exactly the same thing to every row — which is precisely where doing it by hand goes wrong.

📚 What you need to know

What a spreadsheet is actually for

Three jobs, and they come in order. First it holds the raw data in a sensible structure. Then it does the repetitive arithmetic. Only then does it draw the graph.

ORGANISE, THEN CALCULATE, THEN DRAWORGANISECALCULATEVISUALISEraw readings in columnsone row per trialunits in the headingmeans and differencesone formula, whole columnno arithmetic slipsscatter and line graphsbest-fit line and gradienttrends become visiblekeep raw data rawprocess in a new columnplot the processed valuesnever overwrite a raw reading with a processed oneonce the original number is gone, no mistake further down can be traceda marker also wants to see the raw data alongside what you did to it
Applying one formula to a whole column is the real gain. Ten titres averaged by hand is ten chances to slip; ten titres averaged by formula is one instruction, applied identically.

Choosing the right graph

The graph type follows from the question you are asking, not from what looks nicest.

LET THE QUESTION CHOOSE THE GRAPHSCATTER OR LINEBAR CHART3D MODELis there a trend?which is biggest?what shape is it?first ionisation energyyield with 4 catalystsbond angles in NH₃a continuous variable on the x-axis means a scatter graph, not a bar chartbars are for separate categories that have no order in between them
Concentration, time and temperature are continuous, so they belong on a scatter graph. Four named catalysts are categories, so they belong on a bar chart.
There is a good test for this. Ask whether a point between two of your x-values would mean anything. Halfway between 10 s and 20 s is 15 s, which is real, so plot a scatter. Halfway between “nickel” and “platinum” is nothing at all, so use bars.

Calibration curves

This is the single most examinable use of a graph in this topic. A colorimeter or spectrophotometer does not tell you a concentration — it tells you an absorbance. To convert one into the other you first measure a set of standard solutions whose concentrations you already know, plot absorbance against concentration, and draw a line of best fit through them.

READING AN UNKNOWN OFF A CALIBRATION CURVEfive standards of known concentration define the lineA = 0.480c = 0.32 mol dm⁻³0.000.300.600.9000.200.400.60concentration / mol dm⁻³absorbanceacross to the line, then straight down: that is interpolationthe line is only trustworthy between the lowest and highest standard
The line passes through the origin because a solution of zero concentration absorbs nothing. Forcing it through (0, 0) is chemically justified here, which is not true of every graph.

The gradient of that line is the conversion factor. Here it is close to 1.50, so absorbance = 1.50 × concentration, and any measured absorbance divides straight through.

Reading between your plotted points is interpolation and is fine. Continuing the line beyond the highest standard is extrapolation and is not, because you have no evidence the relationship stays linear out there — and for absorbance it usually does not. If the unknown is too concentrated, dilute it by a known factor, read it off, then multiply back.

Modelling and visualisation

Computational models let chemists investigate processes that would be slow, expensive or impossible to study experimentally. At your level, two uses matter.

The same caution from the previous page applies. A calculated value is an output of a model. It belongs in a comparison, next to your experimental result and a literature value, rather than standing in for either.

WORKED EXAMPLE

Standard solutions of a coloured complex give absorbances of 0.148, 0.305, 0.447, 0.603 and 0.752 at concentrations of 0.100, 0.200, 0.300, 0.400 and 0.500 mol dm–3. An unknown gives an absorbance of 0.480. Determine the gradient of the calibration line and the concentration of the unknown.

Step 1 — find the gradient The line passes through the origin, so use the furthest point for the best precision. gradient = 0.752 ÷ 0.500 = 1.50 Step 2 — check the relationship Every point gives roughly the same ratio, so absorbance is proportional to concentration across this range. A = 1.50c Step 3 — use it on the unknown c = 0.480 ÷ 1.50 = 0.320 0.32 mol dm⁻³ 0.480 sits between the third and fourth standards, so this is interpolation and the answer can be trusted.
WORKED EXAMPLE

A second unknown gives an absorbance of 1.35, which is beyond the highest standard. Explain why the concentration should not be found by extending the line, and suggest what to do instead.

Why extending fails The straight line is only supported by evidence between 0.100 and 0.500 mol dm⁻³. Beyond that there are no standards, and absorbance commonly stops being proportional to concentration at high values. extrapolating assumes a linearity you have not tested What to do instead Dilute the unknown by a known factor, for example ten-fold, so its absorbance lands inside the calibrated range. c(original) = c(diluted) × 10 read it off, then multiply back by the dilution factor The alternative is to prepare more concentrated standards and extend the calibration properly.
WORKED EXAMPLE

State the most appropriate type of graph for each set of results and justify your choice: (a) first ionisation energy against atomic number for the first twenty elements; (b) the percentage yield obtained with four different catalysts.

(a) ionisation energy Atomic number is a continuous ordered variable, and the point of the graph is to reveal a repeating pattern across it. a line or scatter graph (b) four catalysts The catalysts are separate categories with no order and nothing meaningful between them, so the graph is comparing four values rather than showing a trend. a bar chart The giveaway is whether a value between two x-values would mean anything. For atomic number it does; for catalyst names it does not.

💡 Exam tip

⚠️ Common mix-up

That completes Tool 2. Collecting the data and processing it are two halves of the same skill: a logger that produces three thousand readings is only useful if the spreadsheet turns them into one gradient you can defend.

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