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The I­131 nuclide has a half­life of 8.0 days. If you originally have a 1.8­kg sample,...

The I­131 nuclide has a half­life of 8.0 days. If you originally have a 1.8­kg sample, how many grams will you have after 48 days?
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Answer #1

Solution:

Half life time (t1/2) is related with total time (T) as,

T = n x t1/2

n = T / (t1/2)

n = 48 days / 8 days = 6

According to radioactivity equation:

N = No x (1/2)^n

Where, N = left amount

No = initial amount

Hence,

N = 1.8 kg x (1/2)^6

N = 1800 g x (1/64)

N = 28.125 g

Hence, the remained amount of I-131

= 28.125 g

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