lodine-131 has a half life of about 8 days. If you had 60 grams of , how much would remain after 24 days?

Question

lodine-131 has a half life of about 8 days. If you had 60 grams of , how much would remain after 24 days?

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Nem 3 years 2021-09-04T07:17:10+00:00 1 Answers 0 views 0

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  1. dangkhoa
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    2021-09-04T07:18:19+00:00
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    Answer:

    7.5 grams

    Explanation:

    From the question,

    (R/R’)ᵇ = 2ᵃ……………….. Equation 1

    Where b = half life, R = Original mass of iodine, R’ = Remaining mass of Iodine after disintegration, a = Total time taken.

    ⇒ R/R’ = 2ᵃ/ᵇ…………… Equation 2

    Given: R = 60 grams, a = 24 days, b = 4 days

    Substitute these values into equation 2

    60/R’ = 2²⁴/⁸

    60/R’ = 2³

    R’ = 60/2³

    R’ = 60/8

    R’ = 7.5 grams

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