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- Phần 1:
Gọi: \(\left\{{}\begin{matrix}n_{Mg}=x\left(mol\right)\\n_{Al}=y\left(mol\right)\\n_{Cu}=z\left(mol\right)\end{matrix}\right.\) (trong phần 1)
⇒ 24x + 27y + 64z = 3,48 (1)
PT: \(Mg+2HCl\rightarrow MgCl_2+H_2\)
\(2Al+6HCl\rightarrow2AlCl_3+3H_2\)
Theo PT: \(n_{HCl}=2n_{Mg}+3n_{Al}=2x+3y=0,16\left(2\right)\)
- Phần 2:
Mg, Al, Cu có số mol lần lượt là: kx, ky, kz (mol)
PT: \(2Mg+O_2\underrightarrow{t^o}2MgO\)
\(4Al+3O_2\underrightarrow{t^o}2Al_2O_3\)
\(2Cu+O_2\underrightarrow{t^o}2CuO\)
Theo PT: \(n_{O_2}=\dfrac{1}{2}n_{Mg}+\dfrac{3}{4}n_{Al}+\dfrac{1}{2}n_{Cu}=\dfrac{1}{2}kx+\dfrac{3}{4}ky+\dfrac{1}{2}kz=0,165\left(3\right)\)
PT: \(CuO+H_2\underrightarrow{t^o}Cu+H_2O\)
Theo PT: \(n_{H_2}=n_{CuO}=n_{Cu}=kz=0,09\left(4\right)\)
Từ (3) và (4) có: \(\dfrac{kz}{\dfrac{1}{2}kx+\dfrac{3}{4}ky+\dfrac{1}{2}kz}=\dfrac{0,09}{0,165}\Rightarrow\dfrac{z}{\dfrac{1}{2}x+\dfrac{3}{4}y+\dfrac{1}{2}z}=\dfrac{6}{11}\)
⇒ 3x + 4,5y - 8z = 0 (5)
Từ (1), (2) và (5) \(\Rightarrow\left\{{}\begin{matrix}x=0,02\left(mol\right)\\y=0,04\left(mol\right)\\z=0,03\left(mol\right)\end{matrix}\right.\)
Thay vào (4) ⇒ k = 3
Vậy: nMg = x + kx = 0,08 (mol) ⇒ mMg = 0,08.24 = 1,92 (g)
nAl = y + ky = 0,16 (mol) ⇒ mAl = 0,16.27 = 4,32 (g)
nCu = z + kz = 0,12 (mol) ⇒ mCu = 0,12.64 = 7,68 (g)
Gọi số mol FeO, Fe2O3 trong mỗi phần là a, b (mol)
=> 72a + 160b = 39,2
P1:
PTHH: FeO + 2HCl --> FeCl2 + H2O
a---------------->a
Fe2O3 + 3HCl --> 2FeCl3 + 3H2O
b-------------------->2b
=> 127a + 325b = 77,7
=> a = 0,1 (mol); b = 0,2 (mol)
\(\left\{{}\begin{matrix}\%m_{FeCl_2}=\dfrac{0,1.127}{77,7}.100\%=16,345\%\\\%m_{FeCl_3}=\dfrac{0,4.162,5}{77,7}.100\%=83,655\%\end{matrix}\right.\)
P2: \(\left\{{}\begin{matrix}FeO:0,1\left(mol\right)\\Fe_2O_3:0,2\left(mol\right)\end{matrix}\right.\)
Gọi \(\left\{{}\begin{matrix}n_{HCl}=x\left(mol\right)\\n_{H_2SO_4}=y\left(mol\right)\end{matrix}\right.\)
Muối khan gồm \(\left\{{}\begin{matrix}Fe^{3+}:0,4\left(mol\right)\\Fe^{2+}:0,1\left(mol\right)\\Cl^-:x\left(mol\right)\\SO_4^{2-}:y\left(mol\right)\end{matrix}\right.\)
Bảo toàn điện tích => x + 2y = 1,4
mmuối = (0,4 + 0,1).56 + 35,5x + 96y = 83,95
=> 35,5x + 96y = 55,95
=> \(\left\{{}\begin{matrix}x=0,9\\y=0,25\end{matrix}\right.\)
=> \(\left\{{}\begin{matrix}C_{M\left(HCl\right)}=\dfrac{0,9}{0,5}=1,8M\\C_{M\left(H_2SO_4\right)}=\dfrac{0,25}{0,5}=0,5M\end{matrix}\right.\)
\(a,m_{P1}=m_{P2}=\dfrac{78,4}{2}=39,2\left(g\right)\\ Đặt:n_{FeO\left(tổng\right)}=2a\left(mol\right);n_{Fe_2O_3\left(tổng\right)}=2b\left(mol\right)\left(a,b>0\right)\\ -Xét.phần.1:\\ PTHH:FeO+2HCl\rightarrow FeCl_2+H_2O\\ Fe_2O_3+6HCl\rightarrow2FeCl_3+3H_2O\\ \Rightarrow\left\{{}\begin{matrix}72a+160b=39,2\\127a+162,5.2.b=77,7\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,1\\b=0,2\end{matrix}\right.\\ \%m_{FeO}=\dfrac{0,1.72}{0,1.72+0,2.160}.100\approx18,367\%\\ \Rightarrow\%m_{Fe_2O_3}\approx81,633\%\\ \)
\(b,-Xét.phần.2:m_{muối}=m_{Fe}+m_{Cl^-}+m_{SO^{2-}_4}\left(1\right)\\ Đặt:r=n_{HCl}\left(mol\right);s=n_{H_2SO_4}\left(mol\right)\left(r,s>0\right)\\ \left(1\right)\Leftrightarrow56.\left(0,1+0,2.2\right)+35,5r+96s=83,95\\ \Leftrightarrow35,5r+96s=55,95\left(2\right)\\ Mặt.khác,BTĐT:n_{Cl^-}+2.n_{SO^{2-}_4}=2.n_{Fe^{2+}}+3.n_{Fe^{3+}}\\ \Leftrightarrow r+2s=2.0,1+3.0,2.2\\ \Leftrightarrow r+s=1,4\left(3\right)\\ \left(2\right),\left(3\right)\Rightarrow\left\{{}\begin{matrix}r+2s=1,4\\35,5r+96s=55,95\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}r=0,9\\s=0,25\end{matrix}\right.\\ \Rightarrow C_{MddHCl}=\dfrac{r}{0,5}=\dfrac{0,9}{0,5}=1,8\left(M\right)\\ C_{MddH_2SO_4}=\dfrac{s}{0,5}=\dfrac{0,25}{0,5}=0,5\left(M\right)\)
- Cho hh pư với HCl
PT: \(2Al+6HCl\rightarrow2AlCl_3+3H_2\)
\(MgO+2HCl\rightarrow MgCl_2+H_2O\)
\(Fe_3O_4+8HCl\rightarrow FeCl_2+2FeCl_3+4H_2O\)
Gọi: \(\left\{{}\begin{matrix}n_{Al}=a\left(mol\right)\\n_{MgO}=b\left(mol\right)\\n_{Fe_3O_4}=c\left(mol\right)\end{matrix}\right.\) ⇒ a + b + c = 0,4 (1)
Theo PT: \(n_{HCl}=3n_{Al}+2n_{MgO}+8n_{Fe_3O_4}=3a+2b+8c=1,5\left(2\right)\)
- Cho hh pư với NaOH:
PT: \(2Al+2H_2O+2NaOH\rightarrow2NaAlO_2+3H_2\)
Ta có: \(n_{H_2}=\dfrac{8,4}{22,4}=0,375\left(mol\right)\)
Theo PT: \(n_{Al}=\dfrac{2}{3}n_{H_2}=0,25\left(mol\right)\)
\(\Rightarrow\%m_{Al}=\dfrac{0,25.27}{0,25.27+78}.100\%=\dfrac{900}{113}\%\)
%mAl không đổi trong hh.
\(\Rightarrow\dfrac{27a}{27a+40b+232c}.100=\dfrac{900}{113}\left(3\right)\)
Từ (1), (2) và (3) \(\Rightarrow\left\{{}\begin{matrix}a=0,1\left(mol\right)\\b=0,2\left(mol\right)\\c=0,1\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}\%m_{Al}=\dfrac{900}{113}\%\approx7,96\%\\\%m_{MgO}=\dfrac{0,2.40}{0,1.27+0,2.40+0,1.232}.100\%\approx23,6\%\\\%m_{Fe_3O_4}\approx68,44\%\end{matrix}\right.\)