AP® Chemistry · Unit 5 · Topic 5.2
Method of Initial Rates
The method of initial rates compares a reaction's starting speed across trials with different starting concentrations to find how each reactant's concentration affects rate, revealing the rate law.
Chemists measure only the very first instant of each trial because that's the one moment where concentrations are known exactly — they're whatever you poured in. A few seconds later, products have formed, reactants have been consumed, and the reverse reaction may even be creeping in. The initial rate is a clean snapshot, uncontaminated by any of that drift.
To expose one reactant's order, run trials where you change its concentration while holding every other concentration fixed. If doubling [A] doubles the rate, A is first order: rate depends on [A]1. If doubling [A] quadruples the rate, A is second order: [A]2. If doubling [A] does nothing, A is zero order and doesn't appear in the rate law at all. Repeat the trick for each reactant, holding the others constant, and you build the full rate law piece by piece: rate = k[A]m[B]n. Once you know the orders, plug any single trial's concentrations and measured rate back into that equation and solve for k, the rate constant, which carries its own units depending on the overall order.
This matters because a rate law cannot be guessed from the balanced equation's coefficients — those describe stoichiometry, not mechanism. Rate depends on the slow, rate-determining step of the mechanism, something invisible in the overall equation. That's why this topic sits right before mechanisms: initial rates are the experimental evidence that lets you deduce which step is slow and what the mechanism must look like.
Key terms
- Initial rate
- The reaction rate measured at the very start, before concentrations have changed much.
- Reaction order
- The exponent on a reactant's concentration in the rate law, found experimentally, not from the equation.
- Rate constant (k)
- The proportionality constant linking concentrations to rate, with units set by the overall reaction order.
- Rate-determining step
- The slowest step in a mechanism, which controls the overall rate and shapes the rate law.
Watch it explained
- How it worksHow does holding one concentration fixed while doubling another expose that reactant's order?
- Worked exampleFind the rate law from three trials where doubling A doubles the rate and doubling B quadruples it.
- Worked exampleFind the rate constant k from a trial with 0.10 M A, 0.20 M B, and an initial rate of 4.0e-3 M/s.
- Common mistakeWhy isn't a rate law something you can predict from the equation without doing experiments?
Check yourself
End of topic.