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a radioactive element has a half-life of 1.1 billion years. A rock contains 6.25% Parent material. How old is the rock.

 Oct 25, 2016
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How many half lives to get to 6.25%

   100%

1  50%

2  25%

3  12.5%

4    6.25%       4 half lives

 

Another way   1/2^n = .0625     

Take the log of both side

n log 1/2  = log .0625

n = log (.0625 ) / log (1/2) = 4  half lives

 

4 half lives x 1.1 billion yrs/halflife = 4.4 billion years old

 Oct 25, 2016

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