Thank you for visiting A certain radioactive substance in a sample decays from 6 80 mg to 2 50 mg over a period of 57 3 years What is. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
Final answer:
The half-life of a radioactive substance is the time required for half the atoms in the sample to decay. Given that a sample of a substance decreases from 6.80 mg to 2.50 mg over 57.3 years, it's apparent that slightly less than two half-lives have passed in that period. Consequently, the half-life of this substance is approximately 28.6 years.
Explanation:
The problem in question pertains to the concept of radioactive decay and the half-life of a substance. The half-life is defined as the time required for half the atoms in a radioactive sample to decay. It can be calculated by dividing the total time by the number of half-lives within that time span.
In this case, we start with 6.80 mg of a radioactive substance and end with 2.50 mg over a period of 57.3 years. Since this is a reduction by a factor of more than 2 (roughly 2.72 times), it indicates that more than one but less than two half-lives have occurred. Basically, it indicates that slightly less than two half-lives have passed in the 57.3 years.
Therefore, if we divide 57.3 years by let's say, approximately 2, we get the half-life of the substance to be around 28.6 years (Option 2), which is the correct answer.
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