Gọi \(\left\{{}\begin{matrix}n_{Al}=x\left(mol\right)\\n_{Zn}=y\left(mol\right)\end{matrix}\right.\)

\(n_{HCl}=0,2\cdot4=0,8mol\)

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

\(x\)   \(\rightarrow\)   \(3x\)            \(x\)

\(Zn+2HCl\rightarrow ZnCl_2+H_2\)

 \(y\)   \(\rightarrow\) \(2y\)            \(y\)

\(\Rightarrow\left\{{}\begin{matrix}27x+65y=11,9\\3x+2y=0,8\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=0,2\\y=0,1\end{matrix}\right.\)

a)\(\%m_{Al}=\dfrac{0,2\cdot27}{11,9}\cdot100\%=45,38\%\)

\(\%m_{Zn}=100\%-45,38\%=54,62\%\)

b)\(\Sigma n_{H_2}=\dfrac{3}{2}x+y=\dfrac{3}{2}\cdot0,2+0,1=0,4mol\)

\(V_{H_2}=0,4\cdot22.4=8,96l\)

$Zn + H_2SO_4 \to ZnSO_4 + H_2$

$n_{Zn} = n_{H_2} = \dfrac{1,12}{22,4} = 0,05(mol)$

$\%m_{Zn} = \dfrac{0,05.65}{5,25}.100\% = 61,9\%$

$\%m_{Cu} =1 00\% -61,9\% = 38,1\%$

Pthh:

\(Zn+H2SO4->ZnSO\text{4+H2}\)

\(nZn=nH2=\dfrac{1,12}{22,4}=0,05mol\)

\(=>mZn=0,05.65=3,25g\)\(=>\%mZn=\dfrac{3,25}{5,25}.100\%=62\%\)

\(=>\%mCu=100-62=38\%\)

\(n_{H_2}=\dfrac{2,464}{22,4}=0,11mol\)

\(\left\{{}\begin{matrix}Al:x\left(mol\right)\\Fe:y\left(mol\right)\end{matrix}\right.\Rightarrow Muối\left\{{}\begin{matrix}Al_2\left(SO_4\right)_3\\FeSO_4\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}BTe:3x+2y=2n_{H_2}=0,22\\\dfrac{x}{2}\cdot342+y\cdot152=14,44\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=0,04mol\\y=0,05mol\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}m_{Al}=0,04\cdot27=1,08g\\m_{Fe}=0,05\cdot56=2,8g\end{matrix}\right.\)

\(Al_2\left(SO_4\right)_3+3BaCl_2\rightarrow2AlCl_3+3BaSO_4\downarrow\)

0,02                                                   0,06

\(FeSO_4+BaCl_2\rightarrow BaSO_4\downarrow+FeCl_2\)

0,05                          0,05

\(\Rightarrow\Sigma n_{\downarrow}=0,06+0,05=0,11\Rightarrow m_{BaSO_4}=x=25,63g\)

Trong \(20,4g\) hỗn hợp có: \(\left\{{}\begin{matrix}n_{Zn}=a\left(mol\right)\\n_{Fe}=b\left(mol\right)\\n_{Al}=c\left(mol\right)\end{matrix}\right.\)

\(\Rightarrow65a+56b+27c=20,4\left(1\right)\)

\(n_{H_2}=\dfrac{10,08}{22,4}=0,45mol\)

\(BTe:2n_{Zn}+2n_{Fe}+3n_{Al}=2n_{H_2}\)

\(\Rightarrow2a+2b+3c=2\cdot0,45\left(2\right)\)

Trong \(0,2mol\) hhX có \(\left\{{}\begin{matrix}Zn:ka\left(mol\right)\\Fe:kb\left(mol\right)\\Al:kc\left(mol\right)\end{matrix}\right.\)

\(\Rightarrow ka+kb+kc=0,2\)

\(n_{Cl_2}=\dfrac{6,16}{22,4}=0,275mol\)

\(BTe:2n_{Zn}+3n_{Fe}+3n_{Al}=2n_{Cl_2}\)

\(\Rightarrow2ka+3kb+3kc=2\cdot0,275\)

Xét thương:

 \(\dfrac{ka+kb+kc}{2ka+3kb+3kc}=\dfrac{0,2}{2\cdot0,275}\Rightarrow\dfrac{a+b+c}{2a+3b+3c}=\dfrac{4}{11}\)

\(\Rightarrow3a-b-c=0\left(3\right)\)

Từ (1), (2), (3)\(\Rightarrow\left\{{}\begin{matrix}a=0,1mol\\b=0,2mol\\c=0,1mol\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}m_{Zn}=6,5g\\m_{Fe}=11,2g\\m_{Al}=2,7g\end{matrix}\right.\)

TN1: Gọi \(\left(n_{Mg};n_{Al};n_{Zn}\right)=\left(a;b;c\right)\)

=> 24a + 27b + 65c = 28,6 (1)

\(n_{O_2}=\dfrac{11,2}{22,4}=0,5\left(mol\right)\)

PTHH: 2Mg + O₂ --t^o--> 2MgO

             a--->0,5a

            4Al + 3O₂ --t^o--> 2Al₂O₃

             b-->0,75b

            2Zn + O₂ --t^o--> 2ZnO

             c--->0,5c

=> 0,5a + 0,75b + 0,5c = 0,5 (2)

TN2: Gọi \(\left(n_{Mg};n_{Al};n_{Zn}\right)=\left(ak;bk;ck\right)\)

=> ak + bk + ck = 0,8 (3)

PTHH: Mg + 2HCl --> MgCl₂ + H₂

           ak----------------------->ak

            2Al + 6HCl -->2AlCl₃ + 3H₂

           bk------------------------>1,5bk

           Zn + 2HCl --> ZnCl₂ + H₂

          ck---------------------->ck

=> \(ak+1,5bk+ck=\dfrac{22,4}{22,4}=1\) (4)

(1)(2)(3)(4) => \(\left\{{}\begin{matrix}a=0,2\\b=0,4\\c=0,2\\k=1\end{matrix}\right.\)

=> \(\left\{{}\begin{matrix}\%m_{Mg}=\dfrac{0,2.24}{28,6}.100\%=16,783\%\\\%m_{Al}=\dfrac{0,4.27}{28,6}.100\%=37,762\%\\\%m_{Zn}=\dfrac{0,2.65}{28,6}.100\%=45,455\end{matrix}\right.\)

Đáp án C.

Kim loại không phản ứng với H₂SO₄ loãng là Cu.

Gọi n_Cu = x, n_Mg = y, n_Al = z

Ta có:

64x + 24y + 27z = 33,2 (1)

Bảo toàn e:

2n_Mg + 3n_Al = 2n_H2  

=> 2y + 3z = 2.1 (2)

2n_Cu = 2n_SO2  =>  x = 0.2 (mol) (3)

Từ 1, 2, 3 => x = 0,2; y = z = 0,4 (mol)

m_Cu = 0,2.64 = 12,8 (g)

m_Mg = 0,4.24 = 9,6 (g)

m_Al = 10,8 (g)