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6 December, 00:05

A hospital prepares a 100mg supply of technetium-99m which has a half-life of 6 hours. what is the decay factor?

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  1. 6 December, 03:24
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    For a half - life, the formula is

    A (t) = A0 (0.5) ^ (t / t_0.5)

    where A (t) is the amount of substance at time t

    A0 is the initial amount of subtance

    t_0.5 is the time it will reduce its amount to half

    t is the time

    substitute the given to the formula

    A (t) = 100 (0.5) ^ (t/6)

    so the decay factor is 0.5^ (t/6)
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