The following problem describes a very accurate derivation of the age of uranium. (a)
Chapter 1, Problem 5(choose chapter or problem)
The following problem describes a very accurate derivation of the age of uranium. (a) Let N238(t) and Nz3,(t) denote the number of atoms of 238U and 235U at time t in a given sample of uranium, and let t =O be the time this sample was created. By the radioactive decay law, Solve these equations for N238(t) and N23,(t) in terms of their original numbers N238(0) and N2,,(0). (b) In 1946 the ratio of 238U/235~ in any sample was 137.8. Assuming that equal amounts of 238U and 235U appeared in any sample at the time of its creation, show that the age of uranium is 5.96 x lo9 years. This figure is universally accepted as the age of uranium.
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