\(a)n_{Na}=\dfrac{9,2}{23}=0,4\left(mol\right)\\ PTHH:2Na+2H_2O\xrightarrow[]{}2NaOH+H_2\\ n_{H_2}=\dfrac{0,4}{2}=0,2\left(mol\right)\\ V_{H_2}=0,2.22,4=4,48\left(l\right)\\ b)n_{Na}=n_{NaOH}=0,4mol\\ m_{NaOH}=0,4.40=16\left(g\right)\\ m_{H_2}=0,2.2=0,4\left(g\right)\\ m_{ddNaOH}=9,2+191,2-0,4=200\left(g\right)\\ C_{\%NaOH}=\dfrac{16}{200}.100\%=8\%\)