Question 202856: The half life of Carbon-14 is 5730 years. How long would it take for a sixteen gram sample to decay to 1 gram?
Answer by RAY100(1637)   (Show Source):
You can put this solution on YOUR website! x=x(0) * 2^(-t/h),,,,where h = half life, x(0) start matl, x= end matl,,,t=time
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1=(16) *2^(-t/5730)
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1/16 =2^(-t/5730)
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remember log a^b = b* log a
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log (1/16) = (-t/5730) * log 2
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log(1/16) / log(2) = -t/5730
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-4 = -t/5730
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+22,920 = t,,,(yrs)
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check, 16 * 2^(-22920/5730) = 1,,,,,ok
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