The decay of 192 mg of an isotope is given by A(t)= 192e-0.015t, where t is time in years. Find the amount left after 55 years.R

Question

prisoha [69]

3 years ago

13

The decay of 192 mg of an isotope is given by A(t)= 192e-0.015t, where t is time in years. Find the amount left after 55 years.R

ound your answer to the nearest whole number.

Mathematics

1 answer:

finlep [7] · Answer 1 · 2022-02-09T04:06:10+03:00

This is a typical radioactive decay problem which uses the general form:

A = A0e^(-kt)

So, in the given equation, A0 = 192 and k = 0.015. We are to find the amount of substance left after t = 55 years. That would be represented by A. The solution is as follows:

A = 192e^(-0.015*55)
<em>A = 84 mg</em>