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Isotope Decay Calculator

Initial Atoms (N₀)

Half-life (s)

Time Elapsed (s)

What is Isotope Decay Calculator?

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Radioactive decay follows first-order kinetics: N(t) = N₀·e^(-λt); half-life t₁/₂ = 0.693/λ; λ is decay constant.

DigiCalcs delivers precision-engineered tools for engineers and STEM professionals.

How to Isotope Decay Calculator

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1Input isotope, half-life, and time elapsed
2Calculate remaining nuclei and activity
3Show decay curve

Worked Examples

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Example 1

Given:¹⁴C: t₁/₂ = 5730 years, after 11,460 years → 25% remains

Výsledok:After 3 half-lives: 12.5% remains

Real-World Applications

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Engineering dynamics and mechanical system design

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University physics coursework and exam preparation

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Sports science analysis of athlete performance and forces

Frequently Asked Questions

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Can decay rate change?

No, radioactive decay unaffected by temperature, pressure, chemical state.

Common Mistakes to Avoid

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!Assuming linear decay (exponential)
!Using wrong half-life values

References

›Isotope Decay — Wikipedia

📖Difficulty:Intermediate

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Reviewed October 2026

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