Acids, equilibrium & kinetics · HL

Rate order (HL)

Determine reaction order from two concentration–rate trials.

Your values

Number formats & units

Use decimal dots in datasets. Single values also accept decimal commas and scientific notation such as 1.2e-3 or 1.2 × 10⁻³.

Rate Order from Two Experiments Calculator (HL) inputs

Calculated locally. No account or input upload.

Result & working

Example

The calculator is loading. The worked example is also shown below.

Copy & export

Formula & example

The relationship

r2r1=(c2c1)n\frac{r_2}{r_1}=\left(\frac{c_2}{c_1}\right)^n
n=ln⁡(r2/r1)ln⁡(c2/c1)n=\frac{\ln(r_2/r_1)}{\ln(c_2/c_1)}
k=rcn(one-variable form)k=\frac r{c^n}\quad\text{(one-variable form)}
What the variables mean
SymbolMeaning
nnOrder with respect to the changing reactant.

Worked example

Concentration 1
0.100
Rate 1
0.0200
Concentration 2
0.200
Rate 2
0.0800

order n = 2

Follow the example steps
  1. r₂/r₁ = 0.08/0.02 = 4
  2. c₂/c₁ = 0.2/0.1 = 2
  3. n = ln(r₂/r₁)/ln(c₂/c₁) = 2
  4. k = r₁/c₁ⁿ = 0.02 / (0.1)^(2) = 2

Common mistakes

Determine the order from a concentration ratio and a rate ratio.

Incorrect approach

c₂/c₁ = 2, rate₂/rate₁ = 8: order = 8/2 = 4

Correct approach

order = ln(8)/ln(2) = 3

More checks before you submit
  • If c₂/c₁ = 1, the two trials cannot determine this order.
Method notes

The order obtained from experimental data need not equal a stoichiometric coefficient. For a multivariable rate law, isolate one reactant at a time with the others effectively constant.