How To Calculate Half Life?

Identify the initial amount, (N_0)

Identify the remaining amount after time (t), (N)

Use the decay formula (N = N_0 left(frac{1}{2}right)^{t/t_{1/2}})

Rearrange to solve for half-life:

(t_{1/2} = dfrac{t ln 2}{ln(N_0/N)})

If the amount halves in a known time, that time is the half-life

If the decay constant (lambda) is known, use (t_{1/2} = dfrac{ln 2}{lambda})

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