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?
Answer (3)
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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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
Hope it helped :)
The half-life of the radioisotope is 12 hours, which is derived from the fact that 1/16 of the original mass remains after 48 hours, indicating four half-lives. By dividing the total time (48 hours) by the number of half-lives (4), we find each half-life to be 12 hours.
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