How does the Radioactive Decay Calculator work?

Enter initial activity or mass, decay constant (or half-life), and elapsed time Then: The calculator applies N(t) = N₀ × e^(-λt) or A(t) = A₀ × e^(-λt) Then: Results show remaining nuclei or activity.

Can you give an example of how to use the Radioactive Decay Calculator?

Example: Input N₀ = 1 mol (6.022 × 10²³), λ = 0.693/5730 yr⁻¹ (¹⁴C), t = 5730 yr gives a result of N ≈ 0.5 mol (50%) (One half-life).

Is the Radioactive Decay Calculator free to use?

Yes — completely free with no registration, download, or subscription required. All calculations happen instantly in your browser.

How accurate is the Radioactive Decay Calculator?

Our Radioactive Decay Calculator uses verified mathematical formulas and is accurate to multiple decimal places. Results are calculated in real-time using the same methods used by professionals.

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Radioactive Decay Calculator

Radioactive Decay

Initial Count (N₀)

Decay Constant (s⁻¹)

Time (s)

Radioactive decay follows exponential decay law. The decay rate depends on the decay constant and the number of remaining nuclei.

Symbol	Name	Unit	Description
N	N₀ × e^(-λt) or A(t) = A₀ × e^(-λt)	—	N₀ × e^(-λt) or A(t) = A₀ × e^(-λt)
A	A₀ × e^(-λt)	—	A₀ × e^(-λt)

Difficulty:intermediate

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Did You Know?

Carbon-14 dating works because living organisms constantly replace ¹⁴C through the food chain; dead organisms can't, so ¹⁴C ratio reveals age.

References

›Radioactive Decay

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Radioactive Decay Calculator

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