\(\left\{{}\begin{matrix}M:x\left(mol\right)\\M^{2+}:y\left(mol\right)\\CO_3^{2-}:y\left(mol\right)\end{matrix}\right.\) \(\Rightarrow\left(x+y\right)M+60y=15,6\)
\(M+2H^+\rightarrow M^{2+}+H_2\)
\(CO_3^{2-}+2H^+\rightarrow CO_2+H_2O\)
\(\rightarrow\left\{{}\begin{matrix}x+y=0,4\\\frac{2x+44y}{x+y}=12,5\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}x=0,3\\y=0,1\end{matrix}\right.\)
\(\Rightarrow M=\frac{15,6-60y}{x+y}=24\) (\(Mg\))
\(n_{H^+pứ}=2\left(x+y\right)=0,8\)
\(\Rightarrow n_{H^+dư}=0,12\)
\(\Rightarrow n_{OH^-}=0,12\Rightarrow n_{Ba\left(OH\right)_2}=0,06\Rightarrow C_M=\frac{0,06}{2}=30\left(ml\right)\)