Nuclear Decay question without knowing N0 or N ?

[Bowenwww]

Nuclear Decay question without knowing N0 or N ??

Homework Statement

Ok so what I have an Am sample which emits alpha particles at a rate of 70Bq in 1997 and asks for the activity 8 years later (the half life of Am being 432.2 years) I found this to be 69.108 Bq, first of all does this sound right?


Secondly it asks for the number of nuclei both in 1997 AND 8 years later in 2005 - I have no idea to do this, is there an equation that relates the initial and final nuclei number without knowing either?

Homework Equations

The Attempt at a Solution

 

[Dickfore]

$$A(t) = A_0 \, \exp(-\lambda \, t)$$

A is activity and is measured in bequerel ($1 \, \mathrm{Bq} = 1 \, \mathrm{s}^{-1}$)

 

[daveb]

Also, A(t) = λN(t)

 

[Bowenwww]

Yeah I sort of understand that it's just I don't know how to apply my answer for activity to find the nuclei number before and after

 

[Dickfore]

see post #3.