Please let me know if I am on the right track or way off tangent!
Plutonium 241: A(t)=Aoe^-.053t
Q: The Half Life of Plutonium 241 is approximately 13 years.
A: How much of a sample weighing 4g will remain after 100 years?
B: How much time is necessary for a sample weighing 4g to decay to .1g?
So for question A, this is what I thought:
On the left hand side, I used 1/2 to represent the half life and on the RS, I plugged in 4 for Ao which is my initial amount? For T, I used 100 years for time. This is where I think I goofed up. I don't think I set up the equation correctly.
Thanks a lot ( How is it that everyone is able to type in the exponents?). To clarify, I would only set up the left hand side as 1/2 if they were looking for the half life correct?
And would you mind, breaking down the Right hand side after taking the natural ln?
Would it be:
A) Skeeter solved this one directly
Divide by :
Take the log of both sides:
Divide through by -0.053:
Put in your values for A and A_0