After decaying for 48 hours,1/16 of the original mass of a radioisotope sample remains unchanged. What is the half-life of this radioisotope?

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Chemistry

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After decaying for 48 hours,1/16 of the original mass of a radioisotope sample remains unchanged. What is the half-life of this radioisotope?

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Mackiemesserid Mackiemesserid · Answer 1

Mackiemesserid Mackiemesserid

Half-life is the period in which radioisotope sample halves it's mass.
If 1/16 of the sample remains it means that there were 4 half-life periods (16=2⁴)
4 half-life periods = 48 hours /4
half-life period = 12 hours

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Aliasger2709id Aliasger2709id · Answer 2

The radioisotope is an unstable chemical element. The half-life of the radioisotope after decaying for 48 hours is 12 hours.

What is half-life?

Half-life is a period taken by the radioisotope to get decayed by half the original amount. The half-life is the time that is needed by the reactant to get decreased and form the product.

If the sample remained is 1/16 then there are 4 half-life periods present.

4 half life = 48 hours ÷ 4

= 12 hours

Therefore, 12 hours is the half-life period.

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