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\(n_{MgO}=a\left(mol\right),n_{Fe_2O_3}=b\left(mol\right)\)
\(m=40a+160b=12\left(g\right)\left(1\right)\)
\(MgO+H_2SO_4\rightarrow MgSO_4+H_2O\)
\(Fe_2O_3+3H_2SO_4\rightarrow Fe_2\left(SO_4\right)_3+3H_2O\)
\(m_{Muối}=120a+400y=32\left(g\right)\left(2\right)\)
\(\left(1\right),\left(2\right):a=0.1,b=0.05\)
\(\%MgO=\dfrac{0.1\cdot40}{12}\cdot100\%=33.33\%\)
\(\%Fe_2O_3=66.67\%\)
\(m_{dd}=12+200=212\left(g\right)\)
\(C\%_{MgSO_4}=\dfrac{0.1\cdot120}{212}\cdot100\%=5.66\%\)
\(C\%_{Fe_2\left(SO_4\right)_3}=\dfrac{0.05\cdot400}{212}\cdot100\%=9.42\%\)
Gọi nFe = a (mol); nMg = b (mol)
56a + 24b = 8 (1)
nH2 = 4,48/22,4 = 0,2 (mol)
PTHH:
Fe + 2HCl -> FeCl2 + H2
a ---> a ---> a ---> a
Mg + 2HCl -> MgCl2 + H2
b ---> b ---> b ---> b
a + b = 0,2 (2)
(1)(2) => a = b = 0,1 (mol)
mFe = 0,1 . 56 = 5,6 (g)
%mFe = 5,6/8 = 70%
%mMg = 100% - 70% = 30%
nHCl = 0,1 . 2 + 0,1 . 2 = 0,4 (mol)
CMddHCl = 0,4/0,1 = 4M
\(a) Mg + H_2SO_4 \to MgSO_4 + H_2\\ n_{Mg} = n_{H_2} = \dfrac{1,12}{22,4} =0,05(mol)\\ m_{Mg} = 0,05.24 =1,2(gam)\\ m_{Cu} = 7,6 -1,2 = 6,4(gam)\\ b) n_{H_2SO_4} = n_{H_2} = 0,05(mol) \Rightarrow V_{dd\ H_2SO_4} = \dfrac{0,05}{0,5} =0,1(lít)\\ c) n_{MgSO_4} = n_{H_2} = 0,05(mol) \Rightarrow m_{MgSO_4} = 0,05.120 = 6(gam)\\ d) \text{Bảo toàn electron: } 2n_{Mg} + 2n_{Cu} = 2n_{SO_2}\\ \Rightarrow n_{SO_2} = 0,05 + \dfrac{6,4}{64} = 0,15(mol) \Rightarrow V_{SO_2} = 0,15.22,4 = 3,36(lít)\)
PTHH: \(FeO+2HCl\rightarrow FeCl_2+H_2O\)
x______2x______x______x (mol)
\(Al_2O_3+6HCl\rightarrow2AlCl_3+3H_2O\)
y______6y______2y_______3y (mol)
a) Ta lập HPT: \(\left\{{}\begin{matrix}72x+102y=12,3\\2x+6y=0,25\cdot2=0,5\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}x=0,1\\y=0,05\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}\%m_{FeO}=\dfrac{0,1\cdot72}{12,3}\cdot100\%\approx58,54\%\\\%m_{Al_2O_3}=41,46\%\end{matrix}\right.\)
b) Theo PTHH: \(n_{FeCl_2}=0,1\left(mol\right)=n_{AlCl_3}\)
\(\Rightarrow m_{muối}=0,1\cdot127+0,1\cdot133,5=26,05\left(g\right)\)
a, PT: \(2Al+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2\)
\(MgO+H_2SO_4\rightarrow MgSO_4+H_2O\)
Ta có: \(n_{H_2}=\dfrac{13,44}{22,4}=0,6\left(mol\right)\)
Theo PT: \(n_{Al}=\dfrac{2}{3}n_{H_2}=0,4\left(mol\right)\)
\(\Rightarrow\left\{{}\begin{matrix}\%m_{Al}=\dfrac{0,4.27}{14,8}.100\%\approx72,97\%\\\%m_{MgO}\approx27,03\%\end{matrix}\right.\)
b, Ta có: \(n_{MgO}=\dfrac{14,8-0,4.27}{40}=0,1\left(mol\right)\)
Theo PT: \(n_{H_2SO_4}=n_{H_2}+n_{MgO}=0,7\left(mol\right)\)
\(\Rightarrow m_{H_2SO_4}=0,7.98=68,6\left(g\right)\)
\(\Rightarrow m_{ddH_2SO_4}=\dfrac{68,6}{10\%}=686\left(g\right)\)
c, Theo PT: \(\left\{{}\begin{matrix}n_{Al_2\left(SO_4\right)_3}=\dfrac{1}{2}n_{Al}=0,2\left(mol\right)\\n_{MgSO_4}=n_{MgO}=0,1\left(mol\right)\end{matrix}\right.\)
Ta có: m dd sau pư = 14,8 + 686 - 0,6.2 = 699,6 (g)
\(\Rightarrow\left\{{}\begin{matrix}C\%_{Al_2\left(SO_4\right)_3}=\dfrac{0,2.342}{699,6}.100\%\approx9,78\%\\C\%_{MgSO_4}=\dfrac{0,1.120}{699,6}.100\%\approx1,72\%\end{matrix}\right.\)
\(n_{Al}=a\left(mol\right)\)
\(n_{Fe}=b\left(mol\right)\)
\(m=27a+56b=19.3\left(g\right)\left(1\right)\)
\(n_{H^+}=0.2\cdot2+0.2\cdot2.25\cdot2=1.3\left(mol\right)\)
\(2Al+6H^+\rightarrow2Al^{3+}+3H_2\)
\(Fe+2H^+\rightarrow Fe^{2+}+H_2\)
\(n_{H^+}=3a+2b=1.3\left(mol\right)\left(2\right)\)
\(\left(1\right),\left(2\right):a=0.3,b=0.2\)
\(\%Al=\dfrac{0.3\cdot27}{19.3}\cdot100\%=41.96\%\)
\(\%Fe=58.04\%\)
\(b.\)
\(n_{H_2}=\dfrac{1}{2}n_{H^+}=0.65\left(mol\right)\)
Bảo toàn khối lượng :
\(m_{Muối}=19.3+0.4\cdot36.5+0.45\cdot98-0.65\cdot2=76.7\left(g\right)\)
\(Fe+H_2SO_4\rightarrow FeSO_4+H_2\\ FeO+H_2SO_4\rightarrow FeSO_4+H_2O\)
nH2=4,48/22,4=0,2(mol)
=>nFe=0,2(mol)=>mFe=0,2.56=11,2(g)
=>mFeO=18,4-11,2=7,2(g)
b)nH2SO4=nH2=0,2(mol)
=>mH2SO4 7%=0,2.98=19,6(g)
=>mH2SO4 =19,6:7%=280(g)
c)mFeSO4=0,2.152=30,4(g)
mdd sau pư=18,4+280-0,2.2=298(g)
=>C%FeSO4=\(\frac{30,4}{298}.100\%\)=10,2%
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