View Full Version : Decay (Physics)
heyyalliee
May 4, 2011, 11:57 AM
Half life of 15 over 8 Oxygen is 122 seconds.
How long does it take for the number of 15/8 O nuclei in a given sample to decrease by a factor of 1×10−4?
Answer in min.
I don't even know where to start. I have formulas but I don't know how to use them properly.
Any help is awesome!
Unknown008
May 4, 2011, 12:08 PM
I use the formula:
A_t = A_o \(\frac12\)^{t/h}
I can't see your factor clearly... :(
Anyway, from what is given, the half life is 122 s
The factor is given by At/Ao
So that you get:
Factor = \(\frac12\)^{t/h}
where h is the half life, t is the time in second you're looking for which you then need to convert into minutes, Factor is the factor given.
heyyalliee
May 4, 2011, 12:25 PM
sorry factor did get all messed up... it was 1*10^-4
So I can do:
1*10^-4=(1/2)^t/h ?
heyyalliee
May 4, 2011, 12:30 PM
I haven't done this in so long even my basic math sucks.. How can I get t by itself?
Unknown008
May 5, 2011, 08:50 AM
Okay, insert log
\log (factor) = \log \(\frac12\)^{t/h}
\log (factor) = \frac{t}{h} \log \(\frac12\)
\frac{\log (factor)}{\log \(\frac12\)} = \frac{t}{h}
t = h \frac{\log (factor)}{\log \(\frac12\)}