PTHH: \(Al\left(OH\right)_3+NaOH\rightarrow NaAlO_2+2H_2O\)
\(HCl+NaOH\rightarrow NaCl+H_2O\)
\(NaAlO_2+HCl+H_2O\rightarrow Al\left(OH\right)_3\downarrow+NaCl\)
Ta có: \(\left\{{}\begin{matrix}n_{Al\left(OH\right)_3}=\dfrac{27,3}{78}=0,35\left(mol\right)\\n_{NaOH}=2\cdot0,25=0,5\left(mol\right)\end{matrix}\right.\) \(\Rightarrow\) NaOH còn dư 0,15 mol
Mặt khác: \(n_{Al\left(OH\right)_3\left(sau\right)}=\dfrac{14,04}{78}=0,18\left(mol\right)\)
\(\Rightarrow n_{HCl}=n_{Al\left(OH\right)_3\left(sau\right)}+n_{NaOH\left(dư\right)}=0,33\left(mol\right)\)
\(\Rightarrow V_{ddHCl}=\dfrac{0,33}{1,6}=0,20625\left(l\right)=206,25\left(ml\right)\)