Calculadora de Vida Media de Isótopos Radiactivos
Calcula la vida media de isótopos radiactivos. Determina el tiempo necesario para que la mitad de los átomos se desintegren al instante.
Vida Media
5,730.00 years
Half-Life vs Time Elapsed
Fórmula
Half-Life Determination
The half-life can be computed from measured decay data.
Formula
t_half = -t * ln(2) / ln(N/N_0)
The decay constant is lambda = ln(2) / t_half. This connects the exponential decay rate to the half-life.
Ejemplo Resuelto
A sample starts at 100 units and has 25 remaining after 11,460 years.
- 01t_half = -t * ln(2) / ln(N/N0)
- 02t_half = -11460 * 0.6931 / ln(25/100)
- 03t_half = -11460 * 0.6931 / (-1.3863)
- 04t_half = 7940 / 1.3863
- 05t_half = 5730 years (Carbon-14)
Preguntas Frecuentes
What are some common half-lives?
Uranium-238: 4.5 billion years. Carbon-14: 5,730 years. Iodine-131: 8 days. Radon-222: 3.8 days. Polonium-214: 164 microseconds.
What is the decay constant?
The probability of a single atom decaying per unit time: lambda = ln(2)/t_half. Higher lambda means faster decay.
Does every atom decay at the half-life?
No. Decay is probabilistic. Each atom has a constant probability of decaying per unit time. The half-life is a statistical measure for large populations.
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