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January 31, 2015

January 31, 2015

Posted by **barb** on Tuesday, April 10, 2007 at 11:46pm.

radioactive nuclei present on the day the sample arrives has disintegrated. For about how many days

after the sample arrives will you be able to use the polonium?

you want to know when you have 5% left.

Let P = c(2)^(-t/13), where c is the amount you started with, and t is the number of days.

so we want .05c=c(2)^(-t/139)

I used logs to solve and got t = 600 days

- calc -
**Billie**, Tuesday, February 9, 2010 at 4:19pmt=139ln(.05)/(ln(1/2))

t=139ln(.05)/(ln(1)-ln(2))

t=139ln(.05)/(0-ln(2))

t=139ln(.05)/(-ln(2))=600.7480052=600 days

t=(half life* ln(percent of sample left))/(ln(1/2))

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