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What is the mass of ""^(14)C isotope tha...

What is the mass of `""^(14)C` isotope that will have an activity of one curie if half-life period of `""^(14)C` is 5730 years ?

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`-(dN)/(dt) = 1 "curie" = 3.7 xx 10^(10)` disintegrations per second.
`lambda = (0.693)/(5730 xx 365 xx 24 xx 3600), (dN)/(dt) = lambdaN` or ` =3.7 xx 10^(10) = (0.693)/(5730 xx 365 xx 24 xx 3600) xx N`
or ` = 9.65 xx 10^(21)` atoms
or Amount of `""^(14)C = (14)/(6.023 xx 10^(23)) xx 9.65 xx 10^(21) = 0.2244` g
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