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Half-life equation for a zero-order reaction
t₁/₂ = [A]₀ / 2k. Depends on initial concentration - as [A]₀ decreases, t₁/₂ decreases.
Half-life equation for a first-order reaction
t₁/₂ = ln(2) / k. Independent of initial concentration - t₁/₂ stays constant throughout.
Half-life equation for a second-order reaction
t₁/₂ = 1 / (k [A]₀). Inversely proportional to [A]₀ - as concentration decreases, t₁/₂ increases.