What is Half-Life?
Half-life is the time required for a quantity to reduce to half of its initial value. This concept applies to radioactive decay, chemical reactions, and other exponential decay processes.
Calculate Half-Lives and Decay Rates
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Calculate the remaining amount after a given time period
Calculate time elapsed given initial and final amounts
Calculate the decay constant from half-life
Half-life is the time required for a quantity to reduce to half of its initial value. This concept applies to radioactive decay, chemical reactions, and other exponential decay processes.
The decay process follows an exponential pattern described by:
N(t) = N₀ × (1/2)^(t/t₁/₂)
where N₀ is initial amount, t is time, and t₁/₂ is half-life
The decay constant (λ) is related to half-life by:
λ = ln(2)/t₁/₂
t₁/₂ = ln(2)/λ
Half-life calculations are crucial in:
N(t) = N₀ × (1/2)^(t/t₁/₂)
t = t₁/₂ × log₂(N₀/N)
n = t/t₁/₂