An archaeological sample contains 0.743 g of lead-206 and 2.145 g of uranium-238.Assume that all the lead now present in the rock came from the radioactive decay of the uranium and that no appreciable amounts of other radioactive nuclides are present in the sample.The decay rate constant for the uranium is 1.537 $\times$ 10^-¹⁰/ year.Determine the half-life of the uranium. A)4.509 $\times$ 10⁹ years B)1.065 $\times$ 10^-¹⁰years C)depends on the age of the sample D)depends on the organic content of the sample E)two of these

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Quizplus · Accepted Answer

The half-life of a radioactive substance can be calculated using the decay rate constant with the formula $T_{1/2} = \frac{\ln(2)}{\lambda}$, where $\lambda$ is the decay rate constant. Given $\lambda = 1.537 \times 10^{-10}$ per year, substituting into the formula gives a half-life of approximately $4.509 \times 10^{9}$ years. The calculation is independent of the sample's age or organic content.

An Archaeological Sample Contains 0 ×\times× 10-10/ Year ×\times× 109 Years B)1 ×\times×

An Archaeological Sample Contains 0 $\times$ 10^-¹⁰/ Year $\times$ 10⁹ Years
B)1 $\times$