IB Chemistry SL & HL Topic 5 — The Rate of Chemical Change Paper 1 & 2 Practical skill ~11 min read

Measuring Reaction Rates

You cannot see molecules colliding, so you never measure rate directly. Instead you pick something about the mixture that changes as the reaction runs — a volume, a mass, a colour — and track that. The skill being tested is choosing the right thing to track.

📘 What you need to know

Continuous or one-off?

There are two very different styles of experiment, and knowing which one you are looking at tells you what kind of answer is expected.

Continuous methods let you take readings all the way through — every 10 seconds, say. You end up with a full set of data, so you can plot a curve and take tangents. Gas volume, mass loss, colorimetry and conductivity all work this way.

One-off methods give you a single number: the time taken to reach some obvious point. A clock reaction is the classic example. You get one piece of data per run, so you compare runs rather than plotting a curve from one.

Neither style is “better”. Continuous methods give richer data; one-off methods are quick, cheap and often more reliable when the reaction is fast. Examiners like asking you to weigh up both.

Following a gas

If a reaction fizzes, you are in luck — gases are easy to follow. You have two obvious options, and they measure opposite things.

Two ways to follow a reaction that gives off a gas Trap the gas and measure it, or let it go and weigh what is left COLLECT THE GAS gas syringe reaction mixture measure: volume of gas WATCH THE MASS DROP gas escapes cotton wool plug 48.62 balance measure: mass lostPick the method that matches what the reaction actually changes. The balance method only works if the gas is heavy enough to make a real difference.
The syringe flask must be sealed or the gas escapes and you measure nothing. The balance flask must be open, or the mass never changes. Opposite requirements — do not mix them up.
Why the cotton wool? It lets the gas out but stops droplets of the mixture spraying out as the reaction fizzes. Lose liquid and your mass drop is too big, so your rate comes out too high.

The inverted cylinder alternative

Instead of a syringe you can push the gas under water into an upturned measuring cylinder and read the volume of water pushed out. Cheap and easy, but it only works for gases that do not dissolve much in water. Hydrogen and oxygen are fine. Carbon dioxide and ammonia will partly dissolve, so your readings come out low.

Following a colour

A colorimeter shines light of one colour through the mixture and measures how much gets through. If a coloured reactant is being used up, more light gets through as time passes. If a coloured product is forming, less does.

How a colorimeter follows a reaction The deeper the colour, the less light reaches the detector lamp filter sample detector read-outA reading every few seconds gives a full concentration curve Colorimetry only works if the mixture changes colour. It cannot follow a precipitate, because solid scatters the beam instead of absorbing it.
The filter matters. You choose the colour of light that the reacting species absorbs most strongly, which makes the signal as large as possible.

Following the ions

Ions carry current, so if a reaction changes the number of ions in solution, its conductivity changes too. Track that with a probe and you have another continuous method.

Watch out for a subtlety here: it is not only about how many ions there are. Different ions conduct differently. H+ in particular is unusually good at carrying charge, so a reaction that uses up H+ shows a big conductivity drop even if the total ion count barely moves.

Taking samples: quenching

Sometimes the only way to know a concentration is to titrate it. The problem is obvious — while you are busy titrating, the reaction in your sample keeps going, so by the time you finish the answer is wrong.

The fix is quenching: freeze the reaction in the sample the moment you take it, so the concentration stops changing.

🧩 Sampling with quenching

  1. Start the reaction and start the clock.
  2. Withdraw a small sample with a pipette at a known time.
  3. Quench it straight away — plunge it into ice-cold water, or add something that removes one reactant (for example a base to neutralise the acid catalyst).
  4. Titrate the quenched sample at your leisure. The concentration is now locked.
  5. Repeat at several times and plot concentration against time.
Notice the pattern: quenching works by removing one of the things the reaction needs, or by dropping the temperature so far that the rate is effectively zero. Same logic as everything else in this topic.

Clock reactions and the 1 ÷ time trick

A clock reaction gives you one clear, visible finish line. The best known is sodium thiosulfate with hydrochloric acid, which slowly goes cloudy with sulfur:

The disappearing cross Na2S2O3(aq) + 2HCl(aq) → 2NaCl(aq) + SO2(g) + H2O(l) + S(s)

You stand the flask on a paper cross and time how long the cross takes to disappear. Each run gives one number: a time.

Here is the bit students find odd. A long time means a slow reaction, so time is not a measure of rate — it is the opposite of one. To turn it into something that behaves like rate, take the reciprocal:

Rate from a clock reaction rate ∝ 1 ÷ t
Why the reciprocal genuinely works. Every run finishes at the same amount of sulfur, because the cross always disappears at the same cloudiness. So the amount formed is fixed and only the time changes. Since rate = amount ÷ time, and the amount is the same every run, rate must be proportional to 1 ÷ time.

Choosing a method

MethodWhat you actually measureGood whenFalls apart when
Gas syringeVolume of gas collectedA gas is produced and the flask can be sealedThe gas dissolves, or more than about 100 cm3 is made
Inverted cylinder over waterVolume of water pushed outThe gas has low solubility, e.g. H2 or O2The gas dissolves, e.g. CO2, SO2, NH3
Mass loss on a balanceFalling mass of the flaskA dense gas escapes, e.g. CO2The gas is light, e.g. H2, so the change is too small to read
ColorimetryLight absorbed by the mixtureA reactant or product is colouredNothing is coloured, or a precipitate forms
ConductivityAbility of the solution to carry currentThe number or type of ions changesIon count and type barely change
Sampling and titrationConcentration in each quenched sampleNothing convenient changes physicallyThe reaction is too fast to sample and quench cleanly
Clock reactionTime to reach a fixed visible pointYou want a quick comparison between runsYou need a full curve from a single run

Worked examples

WORKED EXAMPLE

Choosing between gas volume and mass loss

0.0486 g of magnesium (0.00200 mol) reacts with excess hydrochloric acid to give hydrogen. Decide whether mass loss or a gas syringe is the better way to follow this reaction. (Mr of H2 = 2.02; molar volume of a gas = 22.7 dm3 mol−1)

Step 1: how much H₂ is made? Mg + 2HCl → MgCl₂ + H₂ so n(H₂) = 0.00200 mol Step 2: what mass is that? 0.00200 × 2.02 = 0.00404 g a 2 decimal place balance would read 0.00 g — hopeless Step 3: what volume is that? 0.00200 × 22.7 = 0.0454 dm³ = 45.4 cm³ that fills about half a 100 cm³ syringe — ideal Use a gas syringe hydrogen is far too light for mass loss to work
WORKED EXAMPLE

Comparing two clock reaction runs

In a disappearing-cross experiment the cross vanishes after 45 s in run A and after 90 s in run B, which used a more dilute thiosulfate solution. Compare the rates of the two runs.

Step 1: convert each time to a rate measure run A: 1 ÷ 45 = 0.0222 s⁻¹ run B: 1 ÷ 90 = 0.0111 s⁻¹ Step 2: compare them 0.0222 ÷ 0.0111 = 2 Run A is twice as fast as run B half the time means double the rate — never say A took “half the rate”
WORKED EXAMPLE

A rate from colorimeter data

A coloured reactant is followed with a colorimeter. Its absorbance falls from 0.860 to 0.500 over 120 s. Calculate the average rate of change of absorbance, and state one advantage of this method over sampling and titration.

Step 1: change in absorbance 0.860 − 0.500 = 0.360 Step 2: divide by the time 0.360 ÷ 120 = 3.0 × 10⁻³ 3.0 × 10⁻³ absorbance units per second Advantage nothing is removed from the mixture, so the reaction is not disturbed — and readings can be taken continuously

💡 Exam tip

⚠ Common mix-up

Up next: Collision Theory — why any of this happens at all. Two things have to go right for a collision to turn into a reaction, and one of them fails far more often than the other.

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