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Gọi $n_{Fe} = a(mol), n_{Zn} = b(mol) , n_{Al} = c(mol) \Rightarrow 56a + 65b + 27c = 20,4(1)$
$Fe + H_2SO_4 \to FeSO_4 + H_2$
$Zn + H_2SO_4 \to ZnSO_4 + H_2$
$2Al +3 H_2SO_4 \to Al_2(SO_4)_3 +3 H_2$
Theo PTHH : $n_{H_2} = a + b + 1,5c = \dfrac{10,08}{22,4} = 0,45(mol)(2)$
Mặt khác :
$2Fe + 3Cl_2 \xrightarrow{t^o} 2FeCl_3$
$Zn + Cl_2 \xrightarrow{t^o} ZnCl_2$
$2Al + 3Cl_2 \xrightarrow{t^o} 2AlCl_3$
Theo PTHH : $n_{Cl_2} = 1,5n_{Fe} + n_{Zn} + 1,5n_{Al}$
Suy ra : \dfrac{1,5a + b + 1,5c}{a + b + c} = \dfrac{0,275}{0,2}(3)$
Từ (1)(2)(3) suy ra : a = 0,2 ; b = 0,1 ; c = 0,1
$\%m_{Fe} = \dfrac{0,2.56}{20,4}.100\% = 54,9\%$
$\%m_{Zn} = \dfrac{0,1.65}{20,4}.100\% = 31,9\%$
$\%m_{Al} = 100\% - 54,9\% - 31,9\% = 13,2\%$
\(Fe+2HCl\rightarrow FeCl_2+H_2\\ n_{H_2}=n_{Fe}=0,15\left(mol\right)\\ \Rightarrow m_{Fe}=0,15.56=8,4\left(g\right)\\ ChấtrắnkhôngtanlàCu\\ Cu+Cl_2\text{ }\rightarrow CuCl_2\\ n_{Cu}=n_{Cl_2}=0,2\left(mol\right)\\ \Rightarrow m_{Cu}=0,2.64=12,8\left(g\right)\\ \%m_{Fe}=\dfrac{8,4}{8,4+12,8}.100=39,62\%\\ \%m_{Cu}=100-39,62=60,38\%\)
Chất không tan là Ag.
=> mAg= 6,25(g)
nH2=0,25(mol)
PTHH: Zn + H2SO4 -> ZnSO4 + H2
-> nZn=nH2= 0,25(mol)
=>mZn= 0,25 . 65=16,25(g)
=> \(\%mAg=\dfrac{6,25}{6,25+16,25}.100\approx27,778\%\\ \Rightarrow\%mZn\approx72,222\%\)
\(a.2Al+6HCl->2AlCl_3+3H_2\\ Mg+2HCl->MgCl_2+H_2\\ b.n_{Al}=a,n_{Mg}=b\\ 27a+24b=7,5\left(I\right)\\ 1,5a+b=\dfrac{7,84}{22,4}=0,35\left(II\right)\\ a=0,1;b=0,2\\ \%m_{Al}=\dfrac{27\cdot0,1}{7,5}\cdot100\%=36\%\\ \%m_{Mg}=64\%\\ c.m_{HCl}=36,5\left(0,1\cdot3+0,2\cdot2\right)=18,25g\\ d.m_{ddsau}=7,5+\dfrac{18,25}{14,6:100}-0,35\cdot2=131,8g\\ C\%\left(AlCl_3\right)=\dfrac{133,5\cdot0,1}{131,8}\cdot100\%=10,1\%\\ C\%\left(MgCl_2\right)=\dfrac{95\cdot0,2}{131,8}\cdot100\%=14,4\%\)
- 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) \(\Rightarrow\left\{{}\begin{matrix}a=0,1\left(mol\right)\\b=0,2\left(mol\right)\\c=0,1\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}\%m_{Al}=\dfrac{900}{113}\%\approx7,96\%\\\%m_{MgO}=\dfrac{0,2.40}{0,1.27+0,2.40+0,1.232}.100\%\approx23,6\%\\\%m_{Fe_3O_4}\approx68,44\%\end{matrix}\right.\)
a, \(n_{H_2}=\dfrac{8,96}{22,4}=0,4\left(mol\right)\)
PTHH: 2Al + 6HCl → 2AlCl3 + 3H2
Mol: x 1,5x
PTHH: Fe + 2HCl → FeCl2 + H2
Mol: y y
b, Ta có hpt: \(\left\{{}\begin{matrix}27x+56y=11\\1,5x+y=0,4\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=0,2\\y=0,1\end{matrix}\right.\)
\(\Rightarrow\%m_{Al}=\dfrac{0,2.27.100\%}{11}=49,09\%\Rightarrow\%m_{Fe}=100\%-49,09\%=50,91\%\)
c, \(n_{CuO}=\dfrac{16}{80}=0,2\left(mol\right)\)
Ta có: \(\dfrac{0,2}{1}< \dfrac{0,4}{1}\) ⇒ CuO hết, H2 dư
PTHH: CuO + H2 → Cu + H2O
Mol: 0,2 0,2
\(m_{Cu}=0,2.64=12,8\left(g\right)\)
Gọi \(m_{Al}=a\left(g\right)\left(0< a< 11\right)\)
\(\rightarrow m_{Fe}=11-a\left(g\right)\)
\(\rightarrow\left\{{}\begin{matrix}n_{Al}=\dfrac{a}{27}\left(mol\right)\\n_{Fe}=\dfrac{11-a}{56}\left(mol\right)\end{matrix}\right.\)
PTHH:
\(2Al+6HCl\rightarrow2AlCl_3+3H_2\)
\(\dfrac{a}{27}\) \(\dfrac{a}{18}\)
\(Fe+2HCl\rightarrow FeCl_2+H_2\)
\(\dfrac{11-a}{56}\) \(\dfrac{11-a}{56}\)
\(\rightarrow pt:\dfrac{a}{18}+\dfrac{11-a}{56}=0,4\\ \Leftrightarrow m_{Al}=a=5,4\left(g\right)\left(TM\right)\)
\(\rightarrow\left\{{}\begin{matrix}\%m_{Al}=\dfrac{5,4}{11}=49,1\%\\\%m_{Fe}=100\%-49,1\%=50,9\%\end{matrix}\right.\)
\(n_{CuO}=\dfrac{16}{80}=0,2\left(mol\right)\)
PTHH: \(CuO+H_2\underrightarrow{t^o}Cu+H_2O\)
LTL: \(0,2< 0,4\rightarrow\) H2 dư
\(n_{Cu}=n_{CuO}=0,2\left(mol\right)\rightarrow m_{CuO}=0,2.64=12,8\left(g\right)\)