radiometric dating and half lives?
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How would I go about solving this problem?
a granite contains150 parts per million (by atomic proportion) ppma of 235 U and 1050 ppma of 207 Pb. Using the decay rate from above, how old is this rock?
My teacher said the answer was 2100. How did he get that?
(Radio active isotope)
uranium 235
(1/2-life)
704myr
(age range)
10M-4.6byr
(daughter product)
Lead 207
Suppose a sample from this granite contains 1050 atoms of U235. Then Pb207 will be 150 atoms.
Now half life of U235 is 704 m.y.
So 1050 atoms of U235 become half or 525 atoms of Pb207 in 704 m. y.
or, 1050 atoms of U235 becomes 1 atom of Pb 207 in 704/525 m.y.
or, 1050 atoms of U235 becomes 150 atom of Pb 207 in (704/525) * 150 m y
= 210 m.y (approx)
So the age of granite is 210 m.y.
Remember the actual method of calculating is much complex, and this is a simplified version only.
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