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The half-life of iodine-131 is 8.07 days. If 1.3 g are left after 93.2 days, how many grams werein the original sample?

User Faeeria
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1 Answer

28 votes
28 votes

The formula that describes radioactive decay over time, is the following:


A=A^{}_0\cdot2^(-t/t_0)

Where A is the amount of a radioactive element after a time t, if t_0 is the half-life of the given element, for an initial sample A_0.

Solve for A_0, and substitute A=1.3g, t=93.2 and t_0=8.07 to find the initial amount of iodine-131 in the original sample:


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User Conrad Clark
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