SOLUTION: A sample of bismuth-210 decayed to 33% of its original mass after 8 days.
(a)Find the half-life of this element.
(b)Find the mass remaining after 12 days
Equation:
m(t)= I*e^
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Question 258093: A sample of bismuth-210 decayed to 33% of its original mass after 8 days.
(a)Find the half-life of this element.
(b)Find the mass remaining after 12 days
Equation:
m(t)= I*e^-rt
I=Initial mass
r=rate of decay
t= time
Since it is half-life, 1/2= e^-rt
rate= (ln 2)/ h
h= number of days to decay half of the mass
I wasn't given h and r. Working with two variables is confusing.
Answer by MRperkins(300) (Show Source): You can put this solution on YOUR website!
Use the given information to find the rate of decay and then you can use that rate in your half life formula.
so, you will get , for the information that it gives you (decayed 33% of its original mass after 8 days).
Next we can use the 8 days information to fill in t and then solve for r. so t=8/365 (since t represents years and 8 days out of 365 days gives you 8/365)
ln of both sides gives you
Now plug this rate into your formula that you are setting up for the half life. I'll let you finish it.
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