Ta có: \(\left\{{}\begin{matrix}n_{OH^-}=0,5\cdot1,232=0,616\left(mol\right)\\n_{H^+}=0,2\cdot0,2=0,04\left(mol\right)\\n_{Al^{3+}}=0,2\cdot0,8=0,16\left(mol\right)\end{matrix}\right.\)
PT ion: \(H^++OH^-\rightarrow H_2O\)
0,04____0,04 (mol)
\(Al^{3+}+3OH^-\rightarrow Al\left(OH\right)_3\downarrow\)
0,16_____0,48________0,16 (mol)
\(Al\left(OH\right)_3+OH^-\rightarrow AlO_2+2H_2O\)
0,096____0,096 (mol)
\(\Rightarrow n_{Al\left(OH\right)_3\left(dư\right)}=0,16-0,096=0,064\left(mol\right)\)
Bảo toàn nguyên tố: \(n_{Al_2O_3}=\dfrac{1}{2}n_{Al\left(OH\right)_3}=0,032\left(mol\right)\)
\(\Rightarrow m_{Al_2O_3}=0,032\cdot102=3,264\left(mol\right)\)