\(n_{KOH}=1,875(mol)\\ \to n_{OH^{-}}=1,875(mol)\\ n_{Al_2(SO_4)_3}=0,25(mol)\\ \to n_{Al^{3+}}=0,25.2=0,5(mol)\\ Al^{3+}+3OH^{-} \to Al(OH)_3\\ 0,5 < \frac{1,875}{3}\\ Al^{3+} \text{hết}; OH^{-} \text{dư}\\ \to n_{Al(OH)_3}=0,5(mol)\\ n_{OH^{-}}=1,5(mol)\\ Al(OH)_3+OH^{-} \to AlO_2^{-}+H_2O\\ n_{OH^{-}(dư)}=1,875-1,5=0,375(mol)\\ n_{Al(OH)_3}=0,375(mol)\\ m=0,375.78+0,5.78=68,25(g)\)
\(n_{KOH}=0,5.3,75=1,875\left(mol\right);n_{Al_2\left(SO_4\right)_3}=0,25.1=0,25\left(mol\right)\)
PTHH: 6KOH + Al2(SO4)3 → 2Al(OH)3 + 3K2SO4
Mol: 0,25 0,5
Ta có: \(\dfrac{1,875}{6}>\dfrac{0,25}{1}\) ⇒ KOH dư,Al2(SO4)3 pứ hết
\(\Rightarrow m_{Al\left(OH\right)_3}=0,5.78=39\left(g\right)\)