An archaeological sample contains 0.743 g of lead-206 and 2.145 g of uranium-238

Question

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 10^-10/year. Determine the half-life of the uranium. 4.509 10^9 years 1.065 10^-10 years depends on the age of the sample depends on the organic content of the sample two of these A PTS: 1 DIF: Easy REF: 19.4 Chemistry | general chemistry | nuclear chemistry | radioactivity and nuclear bombardment reactions | rate of radioactive decay | half-life MSC: Quantitative An archaeological sample contains 0.739 g of lead-206 and 2.328 g of uranium-238.

Explanation / Answer

Half life = 0.693 / k

k = 1.537 x 10-10 year

Half life = 0.693 / 1.537 x 10-10 = 4.509 x 109 Years

Hence answer is option A

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