The Radioactive Decay Rate Calculator will calculate the:

1. Decay rate of a radioactive sample when the initial number of nuclei and half-life are known
 🖹 Normal View🗖 Full Page View Calculator Precision (Decimal Places)0123456789101112131415 Initial number of atomic nuclei (N0) Half-life of radioactive element (T 1/2) s Time elapsed since the beginning of process (t) s
Radioactive decay rate as a function of time calculation ∞ Real Number Results∑ Scientific Number Results The radioactive decay rate as a function of time R(t) is Bq [Becquerel] R(t) = ln 2/T1/2 ∙ N0 ∙ e-ln 2/T1/2 ∙ tR(t) = / ∙ ∙ e-/ ∙ R(t) = ∙ ∙ e- ∙ R(t) = ∙ ∙ eR(t) = ∙ ∙ R(t) = Initial number of atomic nuclei (N0) Half-life of radioactive element (T 1/2) s [second] Time elapsed since the beginning of process (t) s [second]

Please note that the formula for each calculation along with detailed calculations are available below. As you enter the specific factors of each radioactive decay rate calculation, the Radioactive Decay Rate Calculator will automatically calculate the results and update the Physics formula elements with each element of the radioactive decay rate calculation. You can then email or print this radioactive decay rate calculation as required for later use.

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## Related Physics Sections with Tutorials

Chemistry

Section 19: Modern Physics

Section 20: Nucleus Physics

## Radioactive decay rate as a function of time Formula and Calculation

R(t) = ln 2/T1/2 ∙ N0 ∙ e-ln 2/T1/2 ∙ t

R(t) = R0 ∙ e-λ ∙ t
= λ∙N0 ∙ e-λ ∙ t
= ln 2/T1/2 ∙ N0 ∙e-ln 2/T1/2 ∙ t

## Nucleus Physics Physics Tutorials associated with the Radioactive Decay Rate Calculator

The following Physics tutorials are provided within the Nucleus Physics section of our Free Physics Tutorials. Each Nucleus Physics tutorial includes detailed Nucleus Physics formula and example of how to calculate and resolve specific Nucleus Physics questions and problems. At the end of each Nucleus Physics tutorial you will find Nucleus Physics revision questions with a hidden answer that reveals when clicked. This allows you to learn about Nucleus Physics and test your knowledge of Physics by answering the test questions on Nucleus Physics.

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