A sample of U238 (half-life =4.47×109 years) ore is found to contain 23.8 g of U238 and 20.6 g of Pb206. Calculate the age of the ore in billion years.
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Solution
Age of rock sample = t=1λln[1+(wt(Pb206)M(Pb206)×M(U238)wt(U238))]=t1/2ln2×ln(1+20.6206×23823.8)=t1/2=4.47×109 years =4.47 billion years