\(n_{Na}=\dfrac{46}{23}=2\left(mol\right)\\ n_{H_2O}=\dfrac{15}{18}=\dfrac{5}{6}\left(mol\right)\)
PTHH: 2Na + 2H2O ---> 2NaOH + H2
LTL: \(2>\dfrac{5}{6}\) => Na dư
Theo pthh: \(\left\{{}\begin{matrix}n_{H_2}=\dfrac{1}{2}n_{H_2O}=\dfrac{1}{2}.\dfrac{5}{6}=\dfrac{5}{12}\left(mol\right)\\n_{Na\left(pư\right)}=n_{NaOH}=n_{H_2O}=\dfrac{5}{6}\left(mol\right)\end{matrix}\right.\)
=> \(V_{H_2}=\dfrac{5}{12}.22,4=\dfrac{28}{3}\left(l\right)\)
\(m_{dd}=15+23.\dfrac{5}{6}-\dfrac{5}{12}.2=\dfrac{100}{3}\\ m_{NaOH}=\dfrac{5}{6}.40=\dfrac{100}{3}\left(g\right)\\ \rightarrow C\%_{NaOH}=\dfrac{\dfrac{100}{3}}{\dfrac{100}{3}}.100\%=100\%\)
\(n_{Na}=\dfrac{46}{23}=2\left(mol\right)\\ n_{H_2O}=\dfrac{15}{18}=0,83\left(mol\right)\\ pthh:Na+H_2O\rightarrow NaOH+\dfrac{1}{2}H_2\)
0,83 0,83 0,416
\(V_{H_2}=0,416.22,4=9,3l\\
m_{\text{dd}}=46+15-\left(0,416.2\right)=60,17\left(g\right)C\%=\dfrac{0,83.40}{60,17}.100\%=55,176
\%\)