Question

Americium-241 is used in some smoke detectors. It is an alpha emitter with a half-life of 432 years. How long will it take in years for 32.0% of an Am-241 sample to decay?

Answer 1

It will take 497.67 years to decay.

What is half-life ?

The duration needed for a quantity to decrease to half of its initial value is known as the half-life. In nuclear physics, the phrase is frequently used to indicate how rapidly unstable atoms decay radioactively or how long stable atoms last. The phrase is also used more broadly to describe any kind of exponential decay (or, very infrequently, nonexponential decay). The biological half-life of medications and other compounds in the human body, for instance, is a term used in the medical sciences. Half-opposite life's in exponential growth is time's doubling.

The formula

At = (Ao)(0.5)(t/h)

where Ao is the initial amount determines the amount of material at a specific time t, At, with a half-life of h.

At/Ao = 0.45 from the stated results in (0.5)(t/432).

T in the equation has a value of 497.67 years.

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