Radioactive samples are considered to become nonhazardous...

Name: Problem 128, Chapter 13: Chemistry: The Molecular Nature of Matter
Uploaded: 2021-07-28T21:01:45-08:00
Duration: 1 min 4 s
Channel: David Collins
Description: Radioactive samples are considered to become nonhazardous after 10 half-lives. If the half-life is less than 88 days, the radioactive sample can be stored through a decay-in-storage program in which the material is kept in a lead-lined cabinet for at least 10 half-lives. What percent of the initial material will remain after 10 half-lives?

Radioactive samples are considered to become nonhazardous after 10 half-lives. If the half-life is less than 88 days, the radioactive sample can be stored through a decay-in-storage program in which the material is kept in a lead-lined cabinet for at least 10 half-lives. What percent of the initial material will remain after 10 half-lives?

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Key Concepts

Exponential Decay Formula

The exponential decay formula mathematically describes how the quantity of a substance decreases over time. Typically expressed as N = N0 × (1/2)^n, where N0 is the initial amount and n is the number of elapsed half-lives, this formula is essential for calculating the percentage of material remaining after successive half-life intervals.

Radioactive Decay

Radioactive decay is the process by which unstable atomic nuclei lose energy through emission of radiation. This transformation happens at a rate that is statistically predictable and is typically characterized by an exponential decay model. The concept underpins many applications in nuclear physics and chemistry, including dating archaeological finds and managing radioactive waste.

Half-life

The half-life of a radioactive substance is the time required for half of the initial quantity of a radioactive material to decay. It is a constant that provides a measure of the decay rate of a substance and is critical for predicting how much of a material remains after a given number of half-life periods.

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