Glossary
First-Order (n = 1)
A reaction order where the rate of reaction is directly proportional to the concentration of a single reactant.
Example:
Radioactive decay is a classic first-order process, where the rate of decay is directly proportional to the amount of radioactive isotope present.
Half-life (t₁/₂)
The time required for the concentration of a reactant to decrease to half of its initial value.
Example:
If a medication has a half-life of 4 hours, then after 4 hours, half of the initial dose will have been eliminated from the body.
Integrated Rate Laws
Equations derived from differential rate laws that relate the concentration of a reactant to time. They are used to predict reactant concentrations at different points in time.
Example:
Using the integrated rate law for a first-order reaction, you can calculate how much reactant remains after a specific duration.
Rate Law
An experimentally determined equation that expresses the relationship between the rate of a reaction and the concentrations of the reactants.
Example:
For the decomposition of N₂O₅, the rate law is Rate = k[N₂O₅], indicating a first-order dependence on N₂O₅ concentration.
Rate constant (k)
The proportionality constant in the rate law that relates the reaction rate to the concentrations of reactants. Its value is temperature-dependent.
Example:
A large rate constant (k) for a reaction means it proceeds very quickly, like the combustion of hydrogen and oxygen.
Reaction Order (n)
The reaction order, denoted by *n*, describes how the concentration of a reactant affects the reaction rate. For AP Chemistry, it is typically an integer (0, 1, or 2).
Example:
If doubling the concentration of reactant A quadruples the reaction rate, the reaction order with respect to A is 2.
Second-Order (n = 2)
A reaction order where the rate of reaction is proportional to the square of one reactant's concentration or the product of two reactants' concentrations.
Example:
If a reaction is second-order with respect to reactant X, doubling [X] would quadruple the reaction rate.
Zeroth-Order (n = 0)
A reaction order where the rate of reaction is independent of the reactant's concentration, meaning the rate remains constant over time.
Example:
In a zeroth-order reaction, like some enzyme-catalyzed reactions at high substrate concentrations, the rate of product formation remains constant regardless of how much substrate is present.