Gọi: \(\left\{{}\begin{matrix}n_{Al}=x\left(mol\right)\\n_{Fe}=y\left(mol\right)\end{matrix}\right.\) ⇒ 27x + 56y = 5,5 (1)

PT: \(2Al+6HCl\rightarrow2AlCl_3+3H_2\)

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

Theo PT: \(n_{H_2}=\dfrac{3}{2}n_{Al}+n_{Fe}=\dfrac{3}{2}x+y=\dfrac{4,48}{22,4}=0,2\left(mol\right)\left(2\right)\)

Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}x=0,1\left(mol\right)\\y=0,05\left(mol\right)\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}\%m_{Al}=\dfrac{0,1.27}{5,5}.100\%\approx49,09\%\\\%m_{Fe}\approx50,91\%\end{matrix}\right.\)

Đặt \(n_{Fe}=x(mol);n_{Al}=y(mol)\Rightarrow 56x+27y=11(1)\)

\(n_{H_2}=\dfrac{8,96}{22,4}=0,4(mol)\\ PTHH:Fe+H_2SO_4\to FeSO_4+H_2\\ 2Al+3H_2SO_4\to Al_2(SO_4)_3+3H_2\\ \Rightarrow x+1,5y=0,4(2)\\ (1)(2)\Rightarrow x=0,1(mol);y=0,2(mol)\\ \Rightarrow \%_{Fe}=\dfrac{0,1.56}{11}.100\%=50,91\%\\ \Rightarrow \%_{Al}=100\%-50,91\%=49,09\%\)

nH2 = 13,44/22,4 = 0,6 (mol)

PTHH: Mg + 2HCl -> MgCl2 + H2

nHCl = 0,6 . 2 = 1,2 (mol)

mHCl = 1,2 . 36,5 = 43,8 (g)

nMg = 0,6 (mol)

mMg = 0,6 . 24 = 14,4 (g)

Không thấy mhh để tính%

nH2 = 13,44/22,4 = 0,6 (mol)

PTHH: Mg + 2HCl -> MgCl2 + H2

Cu không tác dụng với HCl bạn nhé

nMg = 0,6 (mol)

mMg = 0,6 . 24 = 14,4 (g)

%mMg = 14,4/20 = 72%

%mCu = 100% - 72% = 28%

nHCl = 0,6 . 2 = 1,2 (mol)

mHCl = 1,2 . 36,5 = 43,8 (g)

\(n_{H_2}=\dfrac{4,48}{22,4}=0,2\left(mol\right)\)

PTHH: 

\(Fe+H_2SO_4\rightarrow FeSO_4+H_2\)

0,2     0,2               0,2       0,2

\(a,\%m_{Fe}=\dfrac{0,2.56}{20}.100\%=56\%\)

\(\%m_{Cu}=100\%-56\%=44\%\)

\(b,C_{M\left(H_2SO_4\right)}=\dfrac{0,2}{0,1}=2\left(M\right)\)

\(Fe+H_2SO_4\rightarrow FeSO_4+H_2\)

  \(1\)          \(1\)                             \(1\)

  \(0,2\)        \(0,2\)                      \(0,2\)

\(n_{H_2}=\dfrac{V}{22,4}=\dfrac{4,48}{22,4}=0,2\left(mol\right)\)

\(m_{Fe}=n.M=0,2.56=11,2\left(g\right)\)

\(^0/_0Fe=\dfrac{11,2}{20}.100^0/_0=56^0/_0\)

\(^0/_0Cu=100^0/_0-56^0/_0=44^0/_0\)

\(C_{M_{H_2SO_4}}=\dfrac{n}{V_{dd}}=\dfrac{0,2}{0,1}=2M\)

\(n_{H_2}=\dfrac{2,24}{22,4}=0,1mol\)

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

0,1                                   0,1   ( mol )

( Cu không tác dụng với dd axit HCl )

\(m_{Fe}=0,1.56=5,6g\)

\(\rightarrow m_{Cu}=12-5,6=6,4g\)

\(\rightarrow\left\{{}\begin{matrix}\%m_{Fe}=\dfrac{5,6}{12}.100=46,66\%\\\%m_{Cu}=100\%-46,66\%=53,34\%\end{matrix}\right.\)

\(n_{HCl}=0,3.2=0,6\left(mol\right)\\ n_{H_2}=\dfrac{5,6}{22,4}=0,25\left(mol\right)\\ 2Al+6HCl\rightarrow2AlCl_3+3H_2\\ Fe+2HCl\rightarrow FeCl_2+H_2\\ Vì:\dfrac{0,6}{2}>\dfrac{0,25}{1}\Rightarrow HCldư\\ Đặt:n_{Al}=t\left(mol\right);n_{Fe}=r\left(mol\right)\\ \left(t,r>0\right)\\ \Rightarrow\left\{{}\begin{matrix}27t+56r=8,3\\1,5t+r=0,25\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}t=0,1\\r=0,1\end{matrix}\right.\\ \Rightarrow m_{Al}=0,1.27=2,7\left(g\right);m_{Fe}=0,1.56=5,6\left(g\right)\\ b,n_{AlCl_3}=n_{Al}=0,1\left(mol\right)\Rightarrow m_{AlCl_3}=0,1.133,5=13,35\left(g\right)\\ n_{Fe}=n_{FeCl_2}=0,1\left(mol\right)\Rightarrow m_{ddFeCl_2}=127.0,1=12,7\left(g\right)\\ m_{ddHCl}=300.1,15=345\left(g\right)\\ m_{ddsau}=8,3+345-0,25.2=352,8\left(g\right)\)

\(n_{HCl\left(dư\right)}=0,6-0,25.2=0,1\left(mol\right)\\ \Rightarrow m_{ddHCl}=0,1.36,5=3,65\left(g\right)\\ C\%_{ddHCl\left(dư\right)}=\dfrac{3,65}{352,8}.100\approx1,035\%\\ C\%_{ddAlCl_3}=\dfrac{13,35}{352,8}.100\approx3,784\%\\ C\%_{ddFeCl_2}=\dfrac{12,7}{352,8}.100\approx3,6\%\)

a) Đặt \(\left\{{}\begin{matrix}n_{Al}=a\left(mol\right)\\n_{Fe}=b\left(mol\right)\end{matrix}\right.\) \(\Rightarrow27a+56b=11\)  (1)

Ta có: \(n_{H_2}=\dfrac{8,96}{22,4}=0,4\left(mol\right)\)

Bảo toàn electron: \(3a+2b=0,4\cdot2=0,8\)  (2)

Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}a=0,2\\b=0,1\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}\%m_{Al}=\dfrac{0,2\cdot27}{11}\cdot100\%\approx49,09\%\\\%m_{Fe}=50,91\%\end{matrix}\right.\)

b) Bảo toàn nguyên tố: \(\left\{{}\begin{matrix}n_{AlCl_3}=n_{Al}=0,2\left(mol\right)\\n_{FeCl_2}=n_{Fe}=0,1\left(mol\right)\end{matrix}\right.\)

\(\Rightarrow m_{muối}=m_{AlCl_3}+m_{FeCl_2}=0,2\cdot133,5+0,1\cdot127=39,4\left(g\right)\)

c) Bảo toàn electron: \(3\cdot0,2+3\cdot0,1=2n_{SO_2}\)

\(\Rightarrow n_{SO_2}=0,45\left(mol\right)\) \(\Rightarrow V_{SO_2}=0,45\cdot22,4=10,08\left(l\right)\)

a) Gọi nAl = x, nFe = y

Có 27x + 56y = 11 (1)

Bảo toàn e

3x + 2y = 2.0,4 (2)

Từ 1 và 2 => x = 0,2, y = 0,1

\(\%mAl=\dfrac{0,2.27}{11}.100\%=49,09\%\)

\(\%mFe=100-49,09=50,91\%\)

b) BTKL: 

m muối = mkim loại + mHCl - mH2

= 11 + 0,4.2.36,5 - 0,4.2 = 39,4g

c) 

Bảo toàn e

Al => Al⁺³ + 3e                                  S⁺⁶ + 2e => S⁺⁴

0,2               0,6                                             2x          x

Fe => Fe⁺³ + 3e

0,1                  0,3

=> 2x = 0,6 + 0,3 => x = 0,45 mol

=> VSO₂ = 0,45.22,4 = 10,08 lít