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Tritium is a radioactive isotope of hydrogen which emits beta particles and decays to form helium-3 as time passes. Its half-life is 12.3 years; that is, after 12.3 years, half of the tritium in a sample will have decayed to helium-3. An initial quantity of 180 milligrams of tritium decays for y years. Which expression gives in milligrams the remaining quantity of tritium in the sample after y years?

Respuesta :

Answer:

[tex]N=(180)\times e^{\frac{y}{12.3}}[/tex] mg

Explanation:

For radioactive decay of an radioactive isotope-

                         [tex]N=N_{0}e^{(\frac{t}{t_{\frac{1}{2}}})}[/tex]

Where N is amount of radioactive isotope after "t" time, [tex]N_{0}[/tex] is initial amount of radioactive isotope and [tex]t_{\frac{1}{2}}[/tex] is half-life of radioactive isotope

Here, [tex]N_{0}[/tex] = 180 mg, [tex]t_{\frac{1}{2}}[/tex] = 12.3 years, t = y years

So, [tex]N=(180)\times e^{\frac{y}{12.3}}[/tex] mg

The above expression gives the remaining quantity of tritium after y years

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