Question

Radium-223223 decays with a half-life of 11.411.4 days. How long will it take for a 0.240mol0.240-\mathrm{mol} sample of radium to decay to 1.50×1021.50 \times 10^{-2} mol?

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Half-life (tht_h) is the time required for a quantity to reduce to half of its initial value. The formula for the half-life is:

N=N0×(12)tth,\textcolor{#c34632}{N=N_0\times(\dfrac{1}{2})^{\dfrac{t}{t_h}}},

where NN is final amount, N0N_0 is initial amount, tt is time and tht_h is the half-life.

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