Trong 200 ml dung dịch E:
\(n_{Al^{3+}}=n_{AlCl_3}+2n_{Al_2\left(SO_4\right)_3}=0,2x+0,4y\) (mol)
\(n_{OH^-}=n_{NaOH}=0,7mol\)
+ E + NaOH: \(n_{Al\left(OH\right)_3}=\dfrac{7,8}{78}=0,1mol\)
\(Al^{3+}+3OH^-\rightarrow Al\left(OH\right)_3\downarrow\)
0,1<-----0,3<----------0,1
\(Al^{3+}+4OH^-\rightarrow\left[Al\left(OH\right)_4\right]^-\)
0,1<-----------0,4
\(\Rightarrow n_{Al^{3+}}=0,1+0,1=0,2mol\) \(\Rightarrow0,2x+0,4y=0,2\) (1)
+ E + BaCl2 dư: \(n_{BaSO_4}=\dfrac{27,96}{233}=0,12mol\)
\(Ba^{2+}+SO_4^{2-}\rightarrow BaSO_4\downarrow\)
.............0,12<------0,12
\(\Rightarrow n_{SO_4^{2-}}=3n_{Al_2\left(SO_4\right)_3}=3.0,2.y=0,12\)
\(\Rightarrow y=0,2\text{mol/lít}\) , thay vào (1) được \(x=0,6\text{mol/lít}\)