An archaeological sample contains 0.739 g of lead-206 and 2.328 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 1.54 $\times$ 10^-¹⁰/year.What is the age of the sample? A)8.54 $\times$ 10⁹ years B)8.81 $\times$ 10⁸ years C)2.03 $\times$ 10⁹ years D)6.51 $\times$ 10⁹ years E)none of these

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Quizplus · Accepted Answer

The age of the sample can be calculated using the decay formula: N(t) = N0 * e^(-λt). Here, N(t) is the remaining amount of uranium, N0 is the initial amount, λ is the decay constant, and t is the time. The initial amount of uranium can be calculated by adding the current uranium and lead amounts (since all lead came from uranium decay). Solving for t gives approximately 2.03 x 10^9 years.

An Archaeological Sample Contains 0 ×\times× 10-10/year ×\times× 109 Years B)8 ×\times× 108 Years C)2

An Archaeological Sample Contains 0 $\times$ 10^-¹⁰/year $\times$ 10⁹ Years
B)8 $\times$ 10⁸ Years
C)2