Ask Question
2 June, 06:00

Carbon-14 is a radioactive isotope that decays exponentially at a rate of 0.0124 percent a year. How many years will it take for carbon-14 to decay to 10 percent of its original amount? The equation for exponential decay is At = A0e-rt.

+5
Answers (1)
  1. 2 June, 06:34
    0
    100-0.0124=99.9876

    10%=1/10

    1/10P=P (0.999876) ^t

    divide both sides by P

    1/10=0.999876^t

    take ln of both sides

    ln (1/10) = t (ln (0.999876))

    divide both sides by (ln (0.999876))

    ln (1/10) / (ln (0.999876)) = t

    use calculator

    18568.08=t

    about 18568 years
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “Carbon-14 is a radioactive isotope that decays exponentially at a rate of 0.0124 percent a year. How many years will it take for carbon-14 ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers