Question

A sample of $1.0 \mathrm{g}$ of tritium, $^{3} \mathrm{H}$, is produced. What will be the mass of the tritium remaining after 24.6 years?

   A sample of $1.0 \mathrm{g}$ of tritium, $^{3} \mathrm{H}$, is produced. What will be the mass of the tritium remaining after 24.6 years?

Physics Principle and Problems

Physics Principle and Problems

Paul W. Zitzewitz,… 1st Edition

Chapter 30, Problem 24

Instant Answer

Solved by Expert Ivan Kochetkov

04/25/2023

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33 years. This means that after 12.33 years, half of the tritium will have decayed, leaving half of the original amount. Show more…

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A sample of $1.0 \mathrm{g}$ of tritium, $^{3} \mathrm{H}$, is produced. What will be the mass of the tritium remaining after 24.6 years?

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Key Concepts

Exponential Decay Equation

This mathematical model describes the decay of a radioactive substance as an exponential function. The equation m(t) = m0 * (1/2)^(t/T1/2) is used to determine the mass remaining after a time t, where m0 is the initial mass and T1/2 is the half-life. It is a vital tool for quantifying the rate of decay in various applications.

Radioactive Decay

This is the process by which unstable atomic nuclei lose energy by emitting radiation. Over time, the quantity of a radioactive substance decreases as its atoms decay into more stable forms. Understanding radioactive decay is essential in fields like nuclear physics and radiometric dating.

Half-Life

Half-life refers to the time taken for half of the atoms in a radioactive sample to decay. It is a characteristic property of a radioactive isotope and is used to calculate how much of the original substance remains after a given period. For any radioactive element, knowing its half-life allows predictions of its behavior over time.

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