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First-Order Rea ...

## First-Order Reaction

By Boyang Zhao

A first-order reaction is a reaction that depends on the concentration of a single first order reactant.

The differential first-order rate law is

$rate = k[A]$

where k is the rate constant and [A] is the concentration of reactant A.

The integrated first-order rate law is

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

where [A]t is the concentration of reactant A at time t and [A]0 is the initial concentration of reactant A.

The half-life of a first-order reaction is

$t_{1/2} = \frac{\ln 2}{k}$