Gọi \(\left\{{}\begin{matrix}n_{Al_2O_3}=a\left(mol\right)\\n_{Na}=b\left(mol\right)\\n_K=c\left(mol\right)\end{matrix}\right.\)
PTHH: 2Na + 2H2O --> 2NaOH + H2
2K + 2H2O --> 2KOH + H2
=> 0,5b + 0,5c = 0,025
\(n_{OH^-}=b+c=0,05\left(mol\right)\)
\(n_{H^+}=0,08.1=0,08\left(mol\right)\)
Al2O3 + 2OH- --> 2AlO2- + H2O
a--->2a---------->2a
=> \(Y\left\{{}\begin{matrix}n_{AlO_2^-}=2a\left(mol\right)\\n_{OH^-}=0,05-2a\left(mol\right)\end{matrix}\right.\)
H+ + OH- --> H2O
(0,05-2a)<--(0,05-2a)
AlO2- + H+ + H2O --> Al(OH)3
2a------------->2a
Al(OH)3 + 3H+ --> Al3+ + 3H2O
0,03--->0,01
=> \(n_{AlCl_3}=n_{Al^{3+}}=0,01\left(mol\right)\)
=> \(m_{AlCl_3}=0,01.133,5=1,335\left(g\right)\)