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3. Iodine-131, which is used to treat thyroid cancer, has a half-life of 8.04 days. How much time is required for 68% of the
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Answer #1

Given:

Half life = 8.04 days

use relation between rate constant and half life of 1st order reaction

k = (ln 2) / k

= 0.693/(half life)

= 0.693/(8.04)

= 8.619*10^-2 days-1

we have:

[A]o = 100 [Let initial concentration be 100]

68 % has decayed.

So, remaining is 32 %

[A] = 32

k = 8.619*10^-2 days-1

use integrated rate law for 1st order reaction

ln[A] = ln[A]o - k*t

ln(32) = ln(100) - 8.619*10^-2*t

3.466 = 4.605 - 8.619*10^-2*t

8.619*10^-2*t = 1.139

t = 13 days

Answer: a

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