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31 October, 17:49

A 40 gram sample of a substance thats used for drug research has a k-value of 0.1446. find the substances half-life, in days. round your answer to the nearest tenth.

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  1. 31 October, 18:08
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    The applicable decay formula is:

    N = No*e^ (-kt)

    Where

    N = Mass left after time t

    No = Original mass

    k = constant

    t = half life

    Using the values given,

    N/No = e^ (-0.1446t) = 1/2

    ln (1/2) = - 0.1446 t * ln e^1

    -0.6931 = - 0.1446 t

    t = 0.6331/0.1446 = 4.79 days

    Therefore, half-life is 4.8 days.
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