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\(n_{Fe} =a (mol) ; n_{Zn} = b(mol)\\ \Rightarrow 56a + 65b = 35,4(1)\\ Fe + 2HCl \to FeCl_2 + H_2\\ Zn + 2HCl \to ZnCl_2 + H_2\\ n_{H_2} = a + b = \dfrac{13,44}{22,4} = 0,6(2)\\ (1)(2) \Rightarrow a = 0,4 ; b = 0,2\\ m_{Fe} = 0,4.56 = 22,4(gam)\\ m_{Zn} = 0,2.65 = 13(gam)\)
Sửa 13,4 → 13,44
\(Gọi : n_{Fe} = a(mol) ; n_{Zn} = b(mol)\\ \Rightarrow 56a + 65b = 35,4(1)\\ Fe + 2HCl \to FeCl_2 + H_2\\ Zn + 2HCl \to ZnCl_2 + H_2\\ n_{H_2} = a + b = \dfrac{13,44}{22,4} = 0,6(2)\\ (1)(2) \Rightarrow a = 0,4 ; b = 0,2\\ m_{Fe}= 0,4.56 = 22,4(gam)\\ m_{Zn} = 0,2.65 = 13(gam)\)
\(n_{Mg}=a;n_{Fe}=0,5a;n_{Zn}=b\\ a\left(24+28\right)+65b=52a+65b=44,2\\ 1,5a+b=\dfrac{24,64}{22,4}1,1\\ a=0,6;b=0,2\\ \%m_{Mg}=\dfrac{24a}{44,2}=32,58\%\\ \%m_{Fe}=\dfrac{28a}{44,2}=38\%\\ \%m_{Zn}=29,42\%\\ m_{ddacid}=\dfrac{98\left(1,5a+b\right)}{0,08}=1347,5g\\ m_{ddsau}=1389,5g\\ C\%_{MgCl_2}=\dfrac{95a}{1389,5}=4,10\%\\ C\%_{FeCl_2}=\dfrac{127.0,5a}{1389,5}=2,74\%\\ C\%_{ZnCl_2}=\dfrac{136b}{1389,5}=1,96\%\)
\(m_{Zn}=60,5-28=32,5g\\
n_{Fe}=\dfrac{28}{56}=0,5\left(mol\right)\\
n_{Zn}=\dfrac{32,5}{65}=0,5\left(mol\right)\\
pthh:Zn+2HCl\rightarrow ZnCl_2+H_2\)
0,5 0,5 0,5
\(Fe+2HCl\rightarrow FeCl_2+H_2\)
0,5 0,5 0,5
\(V_{H_2}=\left(0,5+0,5\right).22,4=22,4\left(L\right)\\
m_{Mu\text{ối}}=\left(0,5.136\right)+\left(0,5.127\right)=131,5g\)
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
$\%m_{Fe} = \dfrac{0,2.56}{20,4}.100\% = 54,9\%$
$\%m_{Zn} = \dfrac{0,1.65}{20,4}.100\% = 31,9\%$
$\%m_{Al} = 100\% - 54,9\% - 31,9\% = 13,2\%$
Gọi \(\left\{{}\begin{matrix}n_{Zn}=a\left(mol\right)\\n_{Fe}=b\left(mol\right)\end{matrix}\right.\)
\(n_{H_2}=\dfrac{15,68}{22,4}=0,7\left(mol\right)\\ m_{HCl}=200.27,375\%=54,75\left(g\right)\\ n_{HCl}=\dfrac{54,75}{36,5}=1,5\left(mol\right)\)
PTHH:
Zn + 2HCl ---> ZnCl2 + H2
a ----> 2a --------> a -----> a
Fe + 2HCl ---> FeCl2 + H2
b ---> 2b -------> b ------> b
Hệ pt \(\left\{{}\begin{matrix}65a+56b=43,7\\a+b=0,7\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,5\left(mol\right)\\b=0,2\left(mol\right)\end{matrix}\right.\)
\(\rightarrow\left\{{}\begin{matrix}m_{Zn}=0,5.65=32,5\left(g\right)\\m_{Fe}=0,2.56=11,2\left(g\right)\end{matrix}\right.\)
\(m_{dd}=43,7+200-0,7.2=242,3\left(g\right)\\ \rightarrow\left\{{}\begin{matrix}C\%_{ZnCl_2}=\dfrac{0,5.136}{242,3}=28,06\%\\C\%_{FeCl_2}=\dfrac{0,2.127}{242,3}=10,48\%\\C\%_{HCl\left(dư\right)}=\dfrac{\left(1,5-0,5.2-0,2.2\right).36,5}{242,3}=1,51\%\end{matrix}\right.\)
\(n_{H_2}=\dfrac{15,68}{22,4}=0,7\left(mol\right)\\
pthh:\left\{{}\begin{matrix}Zn+H_2SO_4->ZnSO_4+H_2\\Fe+H_2SO_4->FeSO_{\text{ 4 }}+H_2\end{matrix}\right.\)
gọi số mol Zn là x , số mol Fe là y
=> 65x+56y=43,7
=> a+b=0,7
=>a=0,5 , b =0,2
=> \(m_{Zn}=0,5.65=32,5\\ m_{Fe}=43,7-32,5=11,2\left(G\right)\)
\(Zn+H_2SO_4\rightarrow ZnSO_4+H_2\\ n_{Zn}=n_{H_2}=\dfrac{2,24}{22,4}=0,1\left(mol\right)\\ \%m_{Zn}=\dfrac{0,1.65}{10}.100=65\%\\ \Rightarrow\%m_{Cu}=100\%-65\%=35\%\)
\(n_{H_2}=\dfrac{4,48}{22,4}=0,2\left(mol\right)\)
PTHH:
Fe + 2HCl ---> FeCl2 + H2
2Al + 6HCl ---> 2AlCl3 + 3H2
Zn + 2HCl ---> ZnCl2 + H2
Theo các pthh trên: \(n_{HCl}=2n_{H_2}=2.0,2=0,4\left(mol\right)\)
\(\rightarrow\left\{{}\begin{matrix}m_{H_2}=0,2.2=0,4\left(g\right)\\m_{HCl}=0,4.36,5=14,6\left(g\right)\end{matrix}\right.\)
Áp dụng ĐLBTKL:
mKim loại + mHCl = mmuối khan + mH2
=> mMuối khan = 12 + 14,6 - 0,4 = 26,2 (g)
pthh fe + 2hcl -> fecl2 + h2
2al2 + 6hcl -> 2l2cl3 + 3h2
zn + 2hcl -> zncl2 + h2
\(Fe+2HCl\rightarrow FeCl_2+H_2\)
\(Zn+2HCl\rightarrow ZnCl_2+H_2\)
Ta có: 56nFe + 65nZn = 35,4 (1)
Theo PT: \(n_{H_2}=n_{Fe}+n_{Zn}=\dfrac{13,44}{22,4}=0,6\left(mol\right)\left(2\right)\)
Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}n_{Fe}=0,4\left(mol\right)\\n_{Zn}=0,2\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}m_{Fe}=0,4.56=22,4\left(g\right)\\m_{Zn}=0,2.65=13\left(g\right)\end{matrix}\right.\)