Problema Solution

The radioactive element americium has a half-life of 432 years. Suppose we start with a 20-g mass of americium

How much will be left after 321 years?

Answer provided by our tutors

We assume X is left

M is the mass at the beginning, t is time

So we have

X = M*(1/2)^(t/432) =  20g *(1/2)^(t/432)

When t = 321 yrs

X = 20g *(1/2)^(321/432) = 11.95 g

So 11.95 g is left