\(n_{Fe}=a\left(mol\right),n_{Mg}=b\left(mol\right)\)

\(m_{hh}=56a+24b=10.16\left(g\right)\)

\(n_{H_2}=\dfrac{5.6}{22.4}=0.25\left(mol\right)\)

\(Fe+2HCl\rightarrow FeCl_2+H_2\)

\(Mg+2HCl\rightarrow MgCl_2+H_2\)

\(n_{H_2}=a+b=0.25\left(mol\right)\left(2\right)\)

\(\left(1\right),\left(2\right):a=0.13,b=0.12\)

\(m_{Fe}=0.13\cdot56=7.28\left(g\right)\)

\(m_{Mg}=0.12\cdot24=2.88\left(g\right)\)

\(n_{HCl}=2\cdot n_{H_2}=2\cdot0.25=0.5\left(mol\right)\)

\(C_{M_{HCl}}=\dfrac{0.5}{0.5}=1\left(M\right)\)

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\(Fe+2HCl\rightarrow FeCl_2+H_2\\ n_{Fe}=n_{H_2}=\dfrac{0,448}{22,4}=0,02\left(mol\right)\\ a,\%m_{Fe}=\dfrac{0,02.56}{4,36}.100\approx25,688\%\\ \Rightarrow\%m_{Ag}\approx74,312\%\\ b,Ta.thấy:2,18=\dfrac{1}{2}.4,36\\ \Rightarrow m_{hh\left(câuB\right)}=\dfrac{1}{2}.m_{hh\left(câuA\right)}\\ n_{Fe}=\dfrac{0,02}{2}=0,01\left(mol\right)\\ n_{Ag}=\dfrac{2,18-0,01.56}{108}=0,015\left(mol\right)\\ 2Fe+3Cl_2\rightarrow\left(t^o\right)2FeCl_3\\ 2Ag+Cl_2\rightarrow\left(t^o\right)2AgCl\\ n_{Cl_2}=\dfrac{3}{2}.n_{Fe}+\dfrac{1}{2}.n_{Ag}=\dfrac{3}{2}.0,01+\dfrac{1}{2}.0,015=0,0225\left(mol\right)\\ \Rightarrow V_{Cl_2\left(đktc\right)}=0,0225.22,4=0,504\left(l\right)\)

a)\(n_{H_2}=\dfrac{5,6}{22,4}=0,25\left(mol\right)\)

PTHH: 2Al + 3H₂SO₄ → Al₂(SO₄)₃ + 3H₂

Mol:       x                                                     1,5x

PTHH: Mg + H₂SO₄ → MgSO₄ + H₂

Mol:      y                                                 y

Ta có: \(\left\{{}\begin{matrix}27x+24y=5,1\\1,5x+y=0,25\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=0,1\\y=0,1\end{matrix}\right.\)

\(\%m_{Al}=\dfrac{0,1.27.100\%}{5,1}=52,94\%;\%m_{Mg}=100-52,94=47,06\%\)

b) 

PTHH: 2Al + 3H₂SO₄ → Al₂(SO₄)₃ + 3H₂

Mol:      0,1      0,15                  0,05                            

PTHH: Mg + H₂SO₄ → MgSO₄ + H₂

Mol:     0,1       0,1                 0,1

\(m_{ddH_2SO_4}=\dfrac{\left(0,1+0,15\right).98.100}{9,8}=250\left(g\right)\)

m_{dd sau pứ} = 5,1+250-0,15.2 = 254,8(g)

\(C\%_{ddAl_2\left(SO_4\right)_3}=\dfrac{0,05.342.100\%}{254,8}=6,71\%\)

\(C\%_{ddMgSO_4}=\dfrac{0,1.120.100\%}{254,8}=4,71\%\)

\(1)n_{H_2}=\dfrac{3,36}{22,4}=0,15(mol)\\ Mg+2HCl\to MgCl_2+H_2\\ Fe+2HCl\to FeCl_2+H_2\)

Từ giả thiết và theo PT: 

\(\begin{cases} 24n_{Mg}+56n_{Fe}=5,2\\ n_{Mg}+n_{Fe}=0,15 \end{cases}\\ \Rightarrow n_{Mg}=0,1(mol);n_{Fe}=0,05(mol)\)

\(\Rightarrow \begin{cases} \%m_{Mg}=\dfrac{0,1.24}{5,2}.100\%=46,15\%\\ \%m_{Fe}=100-46,15=53,85\% \end{cases}\\ 2)\Sigma n_{HCl}=2n_{H_2}=0,3(mol)\\ \Rightarrow V_{dd_{HCl}}=\dfrac{0,3}{1}=0,3(l)=300(ml)\)

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  
=> \(m_{Zn}=0,5.65=32,5\\ m_{Fe}=43,7-32,5=11,2\left(G\right)\)