1.

What mass of `C^(14)` with `t_(1//2) = 5730` years has activity equal to curie?

Answer» `-(dN)/(dt)=1 "curie"=3.7 xx 10^(10)` disintegrations per second
`lambda=(0.693)/(5730xx365 xx24 xx3600)`
`-(dN)/(dt)=lambda N " or " 3.7 xx10^(10)=(0.693)/(5730 xx365xx24xx3600)xxN`
Or `N=9.65xx10^(21)` atoms
Or amount of `.^(14)C=(14)/(6.023 xx10^(23)) xx9.65 xx10^(21)=0.2244g`


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