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

`A(t)=A_0e^(-0.0315t)`

Step-by-step 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=(\ln2)/(T)`

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

`k=(\ln2)/(22)=0.0315`

Therefore, the exponential decay model is

`A(t)=A_0e^(-0.0315t)`