The half-life of ${}^{198}\mathrm{Au}$ is 3 days. If atomic weight of ${}^{198}\mathrm{Au}$ is $198\mathrm{~g~mol}^{-1}$, then the activity of 2 mg of ${}^{198}\mathrm{Au}$ is [in disintegration second${}^{-1}$]:\\
(1) $2.67 \times 10^{12}$\\
(2) $6.06 \times 10^{18}$\\
(3) $32.36 \times 10^{12}$\\
(4) $16.18 \times 10^{12}$