\(n_{HCl}=0,6v_1\left(mol\right)\)
\(n_{NaOH}=0,4v_2\left(mol\right)\)
\(n_{Al_2O_3}=\dfrac{1,02}{102}=0,01\left(mol\right)\)
\(HCl+NaOH-->NaCl+H_2O\)
TH1: HCl dư
\(HCl+NaOH-->NaCl+H_2O\)
n pu 0,4v2............0,4v2
n spu 0,6v1-0,4v2.........0
dd A: NaCl(tt), HCl dư
\(Al_2O_3+6HCl-->2AlCl_3+3H_2O\)
0,01.........0,06
\(\left\{{}\begin{matrix}0,6v_1-0,4_2=0,06\\v_1+v_2=0,6\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}v_1=0,3\left(l\right)\\v_2=0,3\left(l\right)\end{matrix}\right.\)
TH2: NaOH dư
\(HCl+NaOH-->NaCl+H_2O\)
n pu 0,6v1.......0,6v1
n spu 0.............0,4v2-0,6v1
dd A: NaCl(tt), NaOH dư
\(2NaOH+Al_2O_3-->2NaAlO_2+H_2O\)
0,02.........0,01
\(\left\{{}\begin{matrix}0,4v_2-0,6v_1=0,02\\v_1+v_2=0,6\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}v_2=0,38\left(l\right)\\v_1=0,32\left(l\right)\end{matrix}\right.\)