A constant current was passed through a solution of $\mathrm{AuCl}_4^{-}$ ion between gold electrodes. After a period of 10.0 minutes, the increase in mass of cathode was $1.314 \mathrm{~g}$. The total charge passed through the solution is _______ $\times 10^{-2} \mathrm{~F}$.

(Given atomic mass of $\mathrm{Au}=197$)