Ask Question
19 March, 13:49

A mammoth skeleton has a carbon-14 content of 12.50 of that found in living organisms

True/False

+1
Answers (1)
  1. 19 March, 16:44
    0
    Correct Question:

    A mammoth skeleton has a carbon-14 content of 12.50% of that found in living organisms. When did the mammoth live?

    Answer:

    17,190 years ago.

    Explanation:

    The carbon-14 is a carbon isotope that has a half-life of 5730 years. It means that the mass of carbon-14 decreases by half every 5730 years. If we call the initial mass as M and the final mas as m:

    m = M/2ⁿ

    Where n is the amount of half-live that had past. Thus, in this case, the mass of the skeleton is the final mass, and the mass founded in the living organisms the initial mass, so:

    m = 0.1250M, and

    0.1250M = M/2ⁿ

    2ⁿ = M/0.1250M

    2ⁿ = 1/0.1250

    2ⁿ = 8

    2ⁿ = 2³

    n = 3

    So it had past 3 half-live or

    3*5730 = 17,190 years.

    So the mammoth lived 17,190 years ago.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “A mammoth skeleton has a carbon-14 content of 12.50 of that found in living organisms True/False ...” in 📘 Chemistry 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