Chemistry

First Order Rate Constant

Calculate rate constant for a first-order reaction.

k = (2.303 / t) log([A]₀ / [A])

Formula Explanation

The integrated rate law for first-order kinetics.

Variables Explained

[A]₀ = initial concentration; [A] = concentration at time t.

Solved Example

If [A]₀ = 0.1 and [A] = 0.05 after 20 min, find k.
k = (2.303/20) log(2) ≈ 0.0347 min⁻¹.

Exam Tip

Half-life of first-order reaction is constant.