A main isotope of concern for Fukushima (and Tshernobyl) is iodine 131 which, wh

Question

                                     A main isotope of concern for Fukushima (and Tshernobyl) is iodine 131 which, when taken up, accumulates in the thyroid. Iodine 131 has a half-life of 8.02 days. How long does it take for 99% of the Iodine to have degraded?

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                                                  A main isotope of concern for Fukushima (and Tshernobyl) is iodine 131 which, when taken up, accumulates in the thyroid. Iodine 131 has a half-life of 8.02 days. How long does it take for 99% of the Iodine to have degraded?

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                                 A main isotope of concern for Fukushima (and Tshernobyl) is iodine 131 which, when taken up, accumulates in the thyroid. Iodine 131 has a half-life of 8.02 days. How long does it take for 99% of the Iodine to have degraded?

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Explanation / Answer

T1/2 = ln2 / lamba = 8.02 days

lambda = ln2 / 8.02 = 0.0864 day^-1

N(t) = No e^-lambda T

required is N(t) = 99% decayed = 0.01 No

i.e 0.01No = No e^(-lambda T)

T = (ln(1/0.01))/lambda = 53.3 days...

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