Answer :

the half-life of the substance, to 2 decimal places is 18.905 years.

How do you calculate a half-life mathematically?

The substance's decay constant can be found. multiplying ln 2 by the substance's degradation rate.

What is the half-life formula calculus?

The half-life is the length of time it takes for a quantity to decrease by half if its decay is exponential. It is supplied by. Half-life = ln 2 k ln 2 k, half-life

Why do we calculate half-life?

Knowing an element's alpha, beta, or gamma decay can help someone properly protect their body from excessive radiation. Within one half-life, the amount of radioactive nuclei present at any particular time will be reduced to half.

remaining after each year: 100 - 3.6 = 96.4%

Solve for t in

1/2 = (0.964)t

t = log(1/2) / log(0.964) ≅ 18.905 years

t1/2 = 18.905 years

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