Đặt \(\left\{{}\begin{matrix}n_{Al}=a\left(mol\right)\\n_{Fe}=b\left(mol\right)\end{matrix}\right.\)
\(PTHH:2Al+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2\)
\(\left(mol\right)\) \(a\) \(1,5a\) \(0,5a\) \(1,5a\)
\(PTHH:Fe+H_2SO_4\rightarrow FeSO_4+H_2\)
\(\left(mol\right)\) \(b\) \(b\) \(b\) \(b\)
Ta có hpt: \(\left\{{}\begin{matrix}27a+56b=8,3\\1,5a+b=\dfrac{5,6}{22,4}\end{matrix}\right.\Leftrightarrow a=b=0,1\left(mol\right)\)
\(a.x=\dfrac{1,5a+b}{0,2}=\dfrac{0,15+0,1}{0,2}=1,25\left(M\right)\\ b.\%m_{Al}=\dfrac{27.0,1}{8,3}.100=32,53\left(\%\right)\\ \%m_{Fe}=100-32,53=67,47\left(\%\right)\\ c.C_{M_{Al_2\left(SO_4\right)_3}}=\dfrac{0,5a}{0,2}=0,25\left(M\right)\\ C_{M_{FeSO_4}}=\dfrac{b}{0,2}=0,5\left(M\right)\\ d.\)
\(PTHH:Al_2\left(SO_4\right)_3+6KOH\rightarrow3K_2SO_4+2Al\left(OH\right)_3\)
\(\left(mol\right)\) \(0,05\) \(0,3\) \(0,1\)
\(PTHH:FeSO_4+2KOH\rightarrow Fe\left(OH\right)_2+K_2SO_4\)
\(\left(mol\right)\) \(0,1\) \(0,2\)
\(PTHH:Al\left(OH\right)_3+KOH\rightarrow KAlO_2+2H_2O\)
\(\left(mol\right)\) \(0,1\) \(0,1\)
\(d.1.\) Lượng kết tủa bé nhất khi kết tủa \(Al\left(OH\right)_3\) sinh ra tan hết trong dd KOH
Khi đó: \(n_{KOH}=0,6\left(mol\right)\rightarrow m_{ddKOH}=\dfrac{0,6.100.56}{15}=224\left(g\right)\)
\(d.2.\) Lượng kết tủa lớn nhất khi KOH tác dụng vừa đủ với dd A
Khi đó: \(n_{KOH}=0,5\left(mol\right)\rightarrow m_{ddKOH}=\dfrac{0,5.56.100}{15}=186,67\left(g\right)\)