Order of Reactions - Experimental Results

(b) How Reaction Order is Found from Experimental Results

Initial Rate Method: The rate of reaction is measured for different initial concentrations of reactants. The order is determined by examining how the rate changes with concentration.

Half-life Method: If half-life is constant, the reaction is first-order; if it changes, other orders may be considered.

Zero order reaction

Plot of concentration vs. time gives a straight line as the concentration of this species has no impact on the rate.

No impact

First order reaction

Plot of ln(concentration) vs. time gives a straight line as the concentration of the species and rate are directionally proportional

Doubling the conc. doubles the rate.

Doubling the conc. doubles the rate.

Second order reaction

Plot of 1/concentration vs. time gives a straight line as the rate is proportional to the conc. squared


c) General Rate Equation and How It Is Used

Rate equation: r = k[A]n[B]m

r = rate of reaction

k = rate constant

[A], [B] = concentrations of reactants

n , m = reaction orders with respect to each reactant (determined experimentally)

Usage:

  • Predicts how reaction rate changes with concentration.

  • Helps in determining reaction mechanisms.

  • Enables calculation of rate constants under different conditions.