Question
Carbon-14 has a half-life of 5730 years. How long will it take 17 grams of carbon-14 to be reduced to 10 grams? Round to the nearest integer.
Answers
17(1/2)^(t/5730) = 10
(1/2)^(t/5730) = 10/17
take log of both sides and use rules of logs
(t/5730) log .5 = log10 - lot17
t/5730 = (1 - log17)/log.5
t = 5730(1 - log17)/log .5 = appr 4387 years
(1/2)^(t/5730) = 10/17
take log of both sides and use rules of logs
(t/5730) log .5 = log10 - lot17
t/5730 = (1 - log17)/log.5
t = 5730(1 - log17)/log .5 = appr 4387 years
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