The Uranium -238 decay series (also know...

The Uranium -238 decay series (also known as 4n+2 series. Can you tell why?) ends at a stable isotope `.^(82)Pb^(206)`. Lead -206 is found in a certain Uranium ore due to dissintegration of Uranium.
(a) How many alpha and beta particles are emitted in the series decay of one `._(92)U^(238)` nucleus into `._(82)Pb^(206)`?
(b) what is the age of uranium ore if it now contains 8g of `Pb^(206)` for every 10g of `U^(238)`? Hlaf life of `U^(238)` is 4.5 bilion year.
[Take `ln2=0.6930,ln(1.9243)=0.6546`]

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