\(PTHH:Na+H_2O\rightarrow NaOH+\frac{1}{2}H_2\\ PTHH:Na_2O+H_2O\rightarrow2NaOH\)
\(n_{Na}=x;n_{Na_2O}=y\)
\(\Rightarrow hpt:\left\{{}\begin{matrix}23x+62y=10,8\\22,4.\frac{x}{2}=2,24\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=0,2\\y=0,1\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}\%m_{Na}=\frac{23.0,2}{10,8}.100\%=42,6\left(\%\right)\\\%m_{Na_2O}=100-42,6=57,4\left(\%\right)\end{matrix}\right.\)
\(C\%_M=\frac{0,2.40+0,2.40}{10,8+144,9-0,2.2}.100\%=10,3\left(\%\right)\)