Introduction to rates and rate laws

Kinetics is a study of the factors affecting the rate of a reaction.

The rate of reaction is equal to the change in concentration of a reactant or product, divided by the time taken for reaction and the coefficient of the substance in the balanced equation. The negative change in concentration of a reactant is used so that rate is always positive.
 
For aA + bB cC + dD
A, B, C and D are substances.
a, b, c and d are coefficients.
 
reaction rate =- Δ[A] = - Δ[B] = Δ[C] = Δ[D]
a × Δtb × Δtc × Δtd × Δt

The differential rate law (equation) is the mathematical relationship between rate and the concentration of substances upon which rate depends.

General form of differential rate law: rate = k[A]x[B]y.
x and y are experimentally determined.
k, the rate constant, is constant for a reaction at a temperature.

The order of a reaction in a substance is given by the exponent on its concentration.

The overall reaction order is given by the sum of the exponents.

A reaction with the rate law above is x order in A, y order in B and x+ y order overall.
If x is 1, then it is first order in A.
If y is also 1, it is first order in B, and the reaction is overall second order.