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In nature a decay chain series starts wi...

In nature a decay chain series starts with `""_90^232Th` and finally terminates at `""_82^208Pb` . A thorium ore sample was found to contain `8 xx 10^(-5)` mL of helium at STP and `5xx10^9-7)g` of `""^232Th` . Find the age of the ore sample assuming the source of helium to be only the decay of `""^232Th` . Also, assume complete retention of helium within the ore. Half-life of ` ""^232Th= 1.39 xx 10^10 ` years.

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`""_90^232Th to ""_82^208Pb + 6 ""_2^4He + 4 ""_(-1)^0 e`
` 4.89 xx 10^9` years
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