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

Explanation

We know, 1 cirie `= 3.74xx10^(10)` disintengration `sec^(-1)`
i.e., Rate `= 3.7xx10^(10) dps`
Now Rate `= lambda xx` No of atoms
`3.7xx10^(10) = (0.693)/(5730xx365xx24xx60xx60) xx` No. of atoms
No of atoms `= 9.65xx10^(21)`
Now `6.023xx10^(23)` atoms of `C^(14) = 14g`
`:. 9.65xx10^(21)` atoms of `C^(14)`
`= (14xx9.65xx10^(21))/(6.023xx10^(23)) = 0.2243g`