The half-life of a radioactive material is about 2 years. How much of a 5.0 kg sample of this material will remain after 4 years

Respuesta :

The remaining amount after 4 years is 1.25 kg

How to determine the remaining amount?

The half life of a function is represented as:

[tex]A = A_o * (1/2)^{t/h}[/tex]

Where

Ao represents the initial amount

So, we have:

[tex]A = 5 * (1/2)^{t/2}[/tex]

In 4 years, t = 4.

So, we have:

[tex]A = 5 * (1/2)^{4/2}[/tex]

This gives

[tex]A = 5 * (1/2)^2[/tex]

Evaluate the expression

A = 1.25

Hence, the remaining amount after 4 years is 1.25 kg

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