IB Chemistry SL Topic 4 — Measuring Enthalpy Change Paper 1 & 2 Core skill ~10 min read

Energy Profile Diagrams

An enthalpy level diagram tells you where a reaction starts and finishes. An energy profile tells you what happens on the way — and that hump in the middle explains why a jar of petrol can sit safely next to a jar of air until you strike a match.

📚 What you need to know

Why there is a hump at all

Before new bonds can form, existing ones have to start breaking — and breaking bonds costs energy. So on the way from reactants to products the system has to climb to a high-energy arrangement in which old bonds are stretched and new ones are only partly made.

That arrangement is the transition state. It sits at the top of the hump, it is extremely unstable, and it cannot be isolated or bottled — it exists for an instant as the reaction passes through it.

Activation energy the minimum energy colliding particles need for a successful reaction
This is why exothermic reactions still need a spark. The reaction gives out far more energy than it takes in — but something has to pay the entry fee first. Once a few molecules react, the energy they release pushes the next ones over the hump, and it becomes self-sustaining.

Reading a profile

REACTION PROFILESthe hump is the transition stateEXOTHERMICEaΔHreaction coordinateHENDOTHERMICEaΔHreaction coordinateHEa is measured from the REACTANTS to the top of the humpΔH is measured from the REACTANTS to the PRODUCTS
Two measurements, one curve. Ea goes up to the peak; the enthalpy change ignores the peak entirely.

Two different measurements come off the same curve, and confusing them is the classic error:

Because an exothermic reaction’s products sit lower, its reactants start closer to the transition state, so exothermic reactions generally have a smaller activation energy than comparable endothermic ones.

Forward and reverse

Run the reaction backwards and the same curve serves, read right to left. The peak has not moved, but you are now climbing to it from the other side.

READING VALUES OFF A PROFILEone curve holds three different quantities050130Ea forward= 130 kJ molEa reverse= 80 kJ molΔH = +50reaction coordinateenergykJ molEa(reverse) − Ea(forward) = −ΔH · 130 − 80 = 50an endothermic reaction always has the larger forward activation energy
Read the same curve from the right and you get the reverse activation energy. The difference between the two barriers is the enthalpy change.

🧩 Getting all three values off one diagram

  1. Ea(forward) = peak energy – reactant energy.
  2. ΔH = product energy – reactant energy. Negative if the products are lower.
  3. Ea(reverse) = peak energy – product energy.
  4. Check: Ea(forward) – Ea(reverse) should equal ΔH.
A useful consequence. If the forward reaction is endothermic, the reverse must be exothermic by the same amount — same magnitude, opposite sign. The curve is identical; only the direction of travel changes.
WORKED EXAMPLE

On a profile, the reactants are at 0 kJ mol–1, the transition state at +130 kJ mol–1 and the products at +50 kJ mol–1. Find ΔH, Ea(forward) and Ea(reverse).

ΔH = products − reactants 50 − 0 = +50 ΔH = +50 kJ mol — endothermic Ea forward = peak − reactants 130 − 0 = 130 Ea(forward) = +130 kJ mol Ea reverse = peak − products 130 − 50 = 80 Ea(reverse) = +80 kJ mol Check: 130 − 80 = 50 ✓
WORKED EXAMPLE

A reaction has ΔH = –210 kJ mol–1 and Ea(forward) = +65 kJ mol–1. Determine the activation energy of the reverse reaction.

The products lie 210 kJ BELOW the reactants The peak is 65 kJ above the reactants, so it is 65 + 210 above the products. Ea(reverse) = 65 + 210 Ea(reverse) = +275 kJ mol A large reverse barrier — which is why very exothermic reactions rarely run backwards.
WORKED EXAMPLE

Sketch an energy profile for the combustion of methane, given ΔH = –890 kJ mol–1 and Ea = +2650 kJ mol–1.

Exothermic, so products below reactants Label reactants CH₄(g) + 2O₂(g) and products CO₂(g) + 2H₂O(l). The hump is very tall compared with the drop Ea is roughly three times the size of ΔH, so draw the peak high above BOTH levels. Ea arrow: reactants → peak, +2650 ΔH arrow: reactants → products, −890 That tall barrier is exactly why methane is safe to store but burns fiercely once lit.

💡 Exam tip

⚠️ Common mix-up

Up next: Standard Enthalpy Changes — pinning down the exact conditions so that two people measuring the same reaction get the same number.

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