What is the half-life of a radioisotope if a 40 g sample becomes 10 g after 20 minutes?A.10 minutesB.50 minutesC.20 minutesD.5 minutesSUBMITarrow_backPREVIOUS
Question
What is the half-life of a radioisotope if a 40 g sample becomes 10 g after 20 minutes?
A. 10 minutes
B. 50 minutes
C. 20 minutes
D. 5 minutes
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Solution
The half-life of a radioisotope is the time it takes for half of the substance to decay.
In this case, we start with a 40 g sample and end with a 10 g sample. This means that the substance has gone through two half-lives. The first half-life reduced the sample from 40 g to 20 g, and the second half-life reduced it from 20 g to 10 g.
Given that the total time for these two half-lives to occur is 20 minutes, we can find the time for one half-life by dividing the total time by the number of half-lives.
So, 20 minutes / 2 half-lives = 10 minutes per half-life.
Therefore, the half-life of the radioisotope is 10 minutes, which corresponds to option A.
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