Question

Suppose that 10 grams of Carbon is released in a nuclear energy plant accident. How long will it take for the 10 grams to decay to 1 gram? (Half-Life of Carbon (14C) is 5,715 years.

Answer 1

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Answer 2

\[1=10\times 2^{\frac{t}{5715}}\]
\[.1=2^{\frac{t}{5715}}\]
then change of base formula
\[\frac{t}{5715}=\frac{\ln(.1)}{\ln(2)}\]