5.
\(n_{Na}=a\left(mol\right)\)
\(Na+H_2O\rightarrow NaOH+\dfrac{1}{2}H_2\)
\(a...............a.....0.5a\)
\(m_{\text{dung dịch sau phản ứng}}=23a+500-0.5a\cdot2=22a+500\left(g\right)\)
\(m_{NaOH}=40a\left(g\right)\)
\(C\%_{NaOH}=\dfrac{40a}{22a+500}\cdot100\%=20\%\)
\(\Rightarrow a=2.8\)
\(b.\)
\(n_{H^+}=10^{-3}\cdot V\cdot\left(1+0.5\cdot2\right)=2\cdot10^{-3}V\left(mol\right)\)
\(\Rightarrow n_{NaOH}=2\cdot10^{-3}V=2.8\left(mol\right)\)
\(\Rightarrow V=1400\)
Câu 5:
\(a.PTHH:2Na+2H_2O\rightarrow2NaOH+H_2\\ \dfrac{m}{23}........................\dfrac{m}{23}.........\dfrac{m}{46}\left(mol\right)\\ Có:\dfrac{\dfrac{m}{23}.40}{500+m}.100=20\%\\ \Leftrightarrow m\approx64,972\left(g\right)\\ b.n_{NaOH}=\dfrac{64,972}{23}=2,825\left(mol\right)\\ n_{HCl}=1.0,5=0,5\left(mol\right)\\ Đặt:V=a\left(l\right)\\ n_{H^+}=1.a+0,5.2.a=2a\left(mol\right)\\ n_{NaOH}=n_{H^+}\\ \Leftrightarrow2a=2,825\\ \Leftrightarrow a=1,4125\left(l\right)=1412,5\left(ml\right)\)
