The number of grams of the original sample remaining is b. 10 g
What is radioactive decay?
This is the process by which unstable atomic nucleus decay into smaller atoms and also lose energy
Since the Calcium-49, a radioactive isotope, has a half-life of 9 minutes an d 80-gram sample of the isotope decays for 27 minutes, we need to find the number of half lives it takes for the radioactive decay to occur in 27 minutes
Number of half-lives
So, number of half-lives, n = time/half life
= 27 min/9 min
= 3.
How many grams of original sample remaining
Since we have 3 half-lives in 27 minutes, the number of grams remaining after 27 minutes is x = (1/2)³ × mass of sample
= (1/2)³ × 80 g
= 1/8 × 80
= 10 g
So, the number of grams of the original sample remaining is b. 10 g
Learn more about radioactive decay here:
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