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25 September, 10:01

A 38 gram sample of a substance that is used to sterilize surgical instruments has a k-value of 0.113. Find the substance's half-life in days, round to the nearest tenth.

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  1. 25 September, 10:10
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    6.13 days

    Step-by-step explanation:

    Hello,

    This question directly relates to radioactivity of a substance.

    Data,

    k = 0.113

    Initial mass (No) = 38g

    Half life of the substance (T½) = ?

    To solve this question, we don't need the value of the initial mass because the variables in half life (T½) formula does not require it.

    T½ = ln2 / k

    Note : ln2 is a constant derived while k is the decay constant of the substance

    T½ = 0.693 / 0.113

    T½ = 6.13 days

    The half life of the substance is 6.13 days
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