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Radioactive Decay Nasıl Hesaplanır?

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

Formül

The calculator applies N(t) = N₀ × e^(-λt) or A(t) = A₀ × e^(-λt)
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)

Adım Adım Kılavuz

  1. 1Enter initial activity or mass, decay constant (or half-life), and elapsed time
  2. 2The calculator applies N(t) = N₀ × e^(-λt) or A(t) = A₀ × e^(-λt)
  3. 3Results show remaining nuclei or activity

Çözümlü Örnekler

Giriş
N₀ = 1 mol (6.022 × 10²³), λ = 0.693/5730 yr⁻¹ (¹⁴C), t = 5730 yr
Sonuç
N ≈ 0.5 mol (50%)
One half-life

Kaçınılması Gereken Yaygın Hatalar

  • Using decay constant instead of half-life without converting
  • Assuming linear decay instead of exponential

Sık sorulan sorular

Can radioactivity be accelerated or stopped?

No, decay rate is determined by nuclear physics and cannot be changed by temperature, pressure, or chemistry.

What's the difference between activity and amount?

Amount is number of nuclei (decreasing exponentially); activity is decay rate (also decreasing, at same rate).

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