Chemistry
bree5
34

The age of fossils can sometimes be determined by radiometric dating, which is based on the constant rate of decay of radioactive isotopes. the time required for half of a radioactive isotope to decay is called the half-life of that isotope. for example, the isotope carbon-14 has a half-life of 5,730 years. suppose it is determined that a fossilized leaf contains 12.5% of the carbon-14 that was present when the fossil formed. how old is the fossil? express your answer numerically.

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(1) Answers
Latko613

The age of the fossil given the present amount of Carbon-14 is given in the equation,                                A(t) = A(o)(0.5)^t/h where A(t) is the current amount, A(o) is the initial amount, t is time and h is the half-life. Substituting the known values to the equation,                        A(t) / A(o) = 0.125 = (0.5)^(t/5730) The value of t from the equation is 17190. Thus, the age of the fossil is mostly likely to be 17190 years old. 

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