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a) 2Al + 6HCl -> 2AlCl3 + 3H2
Al2O3 + 6HCl -> 2AlCl3 + 3H2O
nH2 = 0,15mol => nAl=0,1mol => mAl=2,7g; mAl2O3 = 10,2g => nAl2O3 = 0,1mol
=>%mAl=20,93% =>%mAl2O3 = 79,07%
b) nHCl = 0,1.3+0,1.6=0,9 mol=>mHCl(dd)=100g
mddY=12,9+100-0,15.2=112,6g
mAlCl3=22,5g=>C%=19,98%
PTHH: R + 2HCl ---> RCl2 + H2 (1)
Ta có: \(n_{H_2}=\dfrac{4,48}{22,4}=0,2\left(mol\right)\)
\(n_{HCl}=\dfrac{100}{1000}.5=0,5\left(mol\right)\)
Ta thấy: \(\dfrac{0,2}{1}< \dfrac{0,5}{2}\)
Vậy HCl dư.
Theo PT(1): \(n_R=n_{H_2}=0,2\left(mol\right)\)
=> \(M_R=\dfrac{4,8}{0,2}=24\left(g\right)\)
Vậy R là magie (Mg)
PT: Mg + 2HCl ---> MgCl2 + H2 (2)
Ta có: \(m_{dd_{MgCl_2}}=4,8+\dfrac{100}{1000}-0,2.2=4,5\left(lít\right)\)
Theo PT(2): \(n_{MgCl_2}=n_{H_2}=0,2\left(mol\right)\)
=> \(C_{M_{MgCl_2}}=\dfrac{0,2}{4,5}=\dfrac{2}{45}M\)
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Fe2O3 + 6HCl --> 2FeCl3 + 3H2O
Mg + 2HCl --> MgCl2 + H2
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\(n_{H_2}=\dfrac{4,48}{22,4}=0,2\left(mol\right)\)
\(n_{HCl}=\dfrac{200.18,25}{100.36,5}=1\left(mol\right)\)
PTHH: Mg + 2HCl --> MgCl2 + H2
0,2<----0,4<---------------0,2
Fe2O3 + 6HCl --> 2FeCl3 + 3H2O
0,1<-----0,6
=> \(\left\{{}\begin{matrix}\%Mg=\dfrac{0,2.24}{0,2.24+0,1.160}.100\%=23,077\%\\\%Fe_2O_3=\dfrac{0,1.160}{0,2.24+0,1.160}.100\%=76,923\%\end{matrix}\right.\)
\(2Al+6HCl->2AlCl_3+3H_2\\ Fe+2HCl->FeCl_2+H_2\\ n_{Al}=a;n_{Fe}=b\\ 27a+56b=8,3\\ 1,5a+b=\dfrac{5,6}{22,4}=0,25\\ a=b=0,1\\ m_{Al}=27\cdot0,1=2,7g\\ m_{Fe}=8,3-2,7=5,6g\\ a=\dfrac{3a+2b}{500}\cdot36,5=3,65\%\\ m_{ddsau}=508,3-0,25\cdot2=507,8g\\ C\%_{AlCl_3}=\dfrac{133,5a}{507,8}=2,63\%\\ C\%_{FeCl_2}=\dfrac{127b}{507,8}=2,50\%\)
\(a,n_{H_2}=\dfrac{2,576}{22,4}=0,115\left(mol\right)\\ Đặt:n_{Mg}=a\left(mol\right);n_{Al}=b\left(mol\right)\left(a,b>0\right)\\ Mg+2HCl\rightarrow MgCl_2+H_2\\ 2Al+6HCl\rightarrow2AlCl_3+3H_2\\ \Rightarrow\left\{{}\begin{matrix}95a+133,5b=10,475\\a+1,5b=0,115\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,04\\b=0,05\end{matrix}\right.\\ \%m_{Mg}=\dfrac{0,04.24}{0,04.24+0,05.27}.100\approx41,558\%\Rightarrow\%m_{Al}\approx58,442\%\\ b,n_{HCl}=2.n_{H_2}=2.0,115=0,23\left(mol\right)\\ \Rightarrow x=C\%_{ddHCl}=\dfrac{0,23.36,5}{100}.100=8,395\%\)
