Radioactive Decay Rate Calculator

The Radioactive Decay Rate Calculator will calculate the:

Decay rate of a radioactive sample when the initial number of nuclei and half-life are known

Radioactive Decay Rate Calculator
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Calculator Precision (Decimal Places)
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 Calculator Results (detailed calculations and formula below)
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/T_1/2** ∙ N₀ ∙ e^{-ln 2/T_1/2 ∙ t} R(t) = / ∙ ∙ e^{-/ ∙} R(t) = ∙ ∙ e^{- ∙} R(t) = ∙ ∙ e R(t) = ∙ ∙ R(t) =
Radioactive Decay Rate Calculator Input Values
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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Discover Physics with free Physics Revision Notes and Physics Calculator: Radioactive Decay Rate. This image shows the properties and radioactive decay rate formula for the Radioactive Decay Rate. The Radioactive Decay Rate Calculator will calculate the decay rate of a radioactive sample when the initial number of nuclei and half-life are known

Radioactive decay rate as a function of time Formula and Calculation

R(t) = ln 2/T_1/2 ∙ N₀ ∙ e^{-ln 2/T_1/2 ∙ t}

R(t) = R₀ ∙ e^{-λ ∙ t}
= λ∙N₀ ∙ e^{-λ ∙ t}
= ln 2/T_1/2 ∙ N₀ ∙e^{-ln 2/T_1/2 ∙ t}

Nucleus Physics Physics Tutorials associated with the Radioactive Decay Rate Calculator

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Radioactive decay rate as a function of time Formula and Calculation

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