Question

Iodine-125 has a half-life of about 60 days.

Answer 1

62.5 mg sample will remain after 240 days

Step-by-step explanation:

Given

Half-life = T =  60 days

The formula for calculating the quantity after n half lives is given by:

$N = N_0(\frac{1}{2})^n$

Here

N is the final amount

N_0 is the initial amount

n is the number of half lives passed

The number of half lives are calculated by dividing the time for which the remaining quantity has to be found by half life

The quantity has to be calculated for 240 days so,

$n = \frac{240}{60}\\n = 4$

Given

$N_0 = 1000\ mg$

Putting the values in the formula

$N = 1000 (\frac{1}{2})^4\\=1000 * \frac{1}{16}\\=\frac{1000}{16}\\=62.5\ mg$

Hence,

62.5 mg sample will remain after 240 days

Keywords: Half-life, sample

Learn more about half-life at:

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