A laboratory investigation shows that a sample of uranium ore contains 5.65 mg o

Question

A laboratory investigation shows that a sample of uranium ore contains 5.65 mg of 23892U and 2.76 mg of 20682Pb. Calculate the age (in y) of the ore. (The half-life of 23892U is 4.47109 y. The mass of a 23892U atom is 238.050783 amu, and the mass of a 20682Pb atom is 205.974449 amu.) A laboratory investigation shows that a sample of uranium ore contains 5.65 mg of 23892U and 2.76 mg of 20682Pb. Calculate the age (in y) of the ore. (The half-life of 23892U is 4.47109 y. The mass of a 23892U atom is 238.050783 amu, and the mass of a 20682Pb atom is 205.974449 amu.) A laboratory investigation shows that a sample of uranium ore contains 5.65 mg of 23892U and 2.76 mg of 20682Pb. Calculate the age (in y) of the ore. (The half-life of 23892U is 4.47109 y. The mass of a 23892U atom is 238.050783 amu, and the mass of a 20682Pb atom is 205.974449 amu.)

Explanation / Answer

disintigration of radoactive element follows first order reaction

K = 1/tln(a/a-x)

K = 0.693/T1/2

K = 0.693/(4.47*10^9) = 1.55*10^-10 year-1.

1.55*10^-10 = (1/t)ln(5.65/2.76)

t = time = 4.622*10^9 years

age of ore = 4.622*10^9 years

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