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Equations

Rate law expressions. The sum ($x+y$) gives the overall order of the reaction.

\[ rate=k[A]^x[B]^y \]

Relationship between concentration and time for a first-order reaction.

\[ \ln\frac{[A]_t}{[B]_0}=-kt \]

Equation for the graphical determination of $k$ for a first-order reaction.

\[ \ln[A]_t=-kt+\ln[A]_0 \]

Half-life for a first order reaction.

\[ t_\frac{1}{2}=\frac{0.693}{k} \]

Relationship between concentration and time for a second-order reaction.

\[ \frac{1}{[A]_t}=-kt+\frac{1}{[A]_0} \]