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Radioactive decay follows exponential decay law. The decay rate depends on the decay constant and the number of remaining nuclei.
الصيغة
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)
دليل خطوة بخطوة
- 1Enter initial activity or mass, decay constant (or half-life), and elapsed time
- 2The calculator applies N(t) = N₀ × e^(-λt) or A(t) = A₀ × e^(-λt)
- 3Results show remaining nuclei or activity
أمثلة محلولة
الإدخال
N₀ = 1 mol (6.022 × 10²³), λ = 0.693/5730 yr⁻¹ (¹⁴C), t = 5730 yr
النتيجة
N ≈ 0.5 mol (50%)
One half-life
أخطاء شائعة يجب تجنبها
- ✕Using decay constant instead of half-life without converting
- ✕Assuming linear decay instead of exponential
أسئلة شائعة
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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