Radioactive potassium-40 has a half-life of 1.28x10^9 years. The amount of a 200.0 gram sample left after 3 half lives would be?

how many half lives occurred? _

calculate amount remaining:

Respuesta :

At the end of three half lives, we will have about 25 g of potassium-40 left.

What is half life?

The term half life refers to the time taken fro half of the amount of the radioactive atoms to remain. We know that; k = 0.693/t1/2

Where t1/2 =  1.28x10^9 years

k = 0.693/ 1.28x10^9 years = 5.4 * 10^-10 year-1

Using;

N(t) = Noe^-kt

N(t) = 200e^-(5.4 * 10^-10 * 3.84 * 10^9)

N(t) = 25 g

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