Question

The half life of Pb-210 is 22 years. Find an exponential decay model that measures the decay of Pb-210 in a dead animal.

Answer 1

Answer:

$A(t)=A_0e^{-0.0315t}$

Explanation:

The exponential decay model has the form

$A(t)=A_0e^{-kt}$

Where A0 is the initial amount of Pb-210 and k is equal to

$k=\frac{\ln2}{T}$

Where T is the half-life. Replacing T = 22 years, we get

$k=\frac{\ln2}{22}=0.0315$

Therefore, the exponential decay model is

$A(t)=A_0e^{-0.0315t}$