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

Coi hỗn hợp X gồm R ( có hoá trị n - a mol) và Fe (b mol)

$\Rightarrow Ra + 56b = 6$

$2R + 2nHCl \to 2RCl_n + nH_2$
$Fe + 2HCl \to FeCl_2 + H_2$

Theo PTHH : $n_{H_2} = 0,5an + b = \dfrac{1,85925}{22,4} = 0,083(mol)(1)$

$2R + nCl_2 \xrightarrow{t^o} 2RCl_n$

$2Fe + 3Cl_2 \xrightarrow{t^o} 2FeCl_3$

$m_{Cl_2} = m_{muối} - m_X = 12,39 - 6 = 6,39(gam)$
$n_{Cl_2} = 0,5an + 1,5b = 0,09(2)$
Từ (1)(2) suy ra : an = 0,138 ; b = 0,014

$\%m_{Fe} = a\% = \dfrac{0,014.56}{6}.100\% = 13,07\%$

\(n_{H_2}\) lẻ quá có sai đề k bn ? 

\(n_{Cu}=a\left(mol\right),n_{Fe}=b\left(mol\right),n_{Al}=c\left(mol\right)\)

\(m_X=64a+56b+27b=35.7\left(g\right)\left(1\right)\)

\(n_{Cl_2}=\dfrac{21.84}{22.4}=0.975\left(mol\right)\)

\(Cu+Cl_2\underrightarrow{^{^{t^0}}}CuCl_2\)

\(Fe+\dfrac{3}{2}Cl_2\underrightarrow{^{^{t^0}}}FeCl_3\)

\(Al+\dfrac{3}{2}Cl_2\underrightarrow{^{^{t^0}}}AlCl_3\)

\(n_{Cl_2}=a+1.5b+1.5c=0.975\left(mol\right)\left(2\right)\)

\(n_{hh}=ka+kb+kc=0.25\left(mol\right)\)

\(n_{H_2}=kb+k\cdot1.5c=0.2\left(mol\right)\)

\(\Leftrightarrow a-0.25b-0.875c=0\left(3\right)\)

\(\left(1\right),\left(2\right),\left(3\right):a=0.3,b=0.15,c=0.3\)

\(\%Cu=\dfrac{0.3\cdot64}{35.7}\cdot100\%=53.78\%\)

\(\%Fe=\dfrac{0.15\cdot56}{35.7}\cdot100\%=23.52\%\)

\(\text{%Al=22.7%}\)

1)

Fe + 2HCl --> FeCl₂ + H₂

Cu + 2H₂SO₄ --> CuSO₄ + SO₂ + 2H₂O

2)

- Xét TN1:

\(n_{H_2}=\dfrac{3,36}{22,4}=0,15\left(mol\right)\)

PTHH: Fe + 2HCl --> FeCl₂ + H₂

         0,15<------------------0,15

=> m_Fe = 0,15.56 = 8,4 (g)

\(\left\{{}\begin{matrix}\%m_{Fe}=\dfrac{8,4}{14,8}.100\%=56,757\%\\\%m_{Cu}=100\%-56,757\%=43,243\%\end{matrix}\right.\)

3) 

- Xét TN2:

\(n_{Cu}=\dfrac{29,6.43,243\%}{64}=0,2\left(mol\right)\)

PTHH: Cu + 2H₂SO₄ --> CuSO₄ + SO₂ + 2H₂O

            0,2-------------------------->0,2

=> V = 0,2.22,4 = 4,48 (l)

a) m_Cu = 3,2 (g)

=> m_Fe = 6 - 3,2 = 2,8 (g)

\(n_{Fe}=\dfrac{2,8}{56}=0,05\left(mol\right)\)

PTHH: Fe + 2HCl --> FeCl₂ + H₂

          0,05->0,1--->0,05--->0,05

=> V₁ = 0,05.22,4 = 1,12 (l)

\(n_{Cu}=\dfrac{3,2}{64}=0,05\left(mol\right)\)

PTHH: 2Fe + 6H₂SO_4(đ/n) --> Fe₂(SO₄)₃ + 3SO₂ + 6H₂O

          0,05--------------------------------->0,075

            Cu + 2H₂SO₄ --> CuSO₄ + SO₂ + 2H₂O

           0,05------------------------>0,05

=> V₂ = (0,075 + 0,05).22,4 = 2,8 (l)

b)

n_HCl(dư) = 0,5.2 - 0,1 = 0,9 (mol)

=> \(\left\{{}\begin{matrix}C_{M\left(HCl.dư\right)}=\dfrac{0,9}{0,5}=1,8M\\C_{M\left(FeCl_2\right)}=\dfrac{0,05}{0,5}=0,1M\end{matrix}\right.\)

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

$\%m_{Fe} = \dfrac{0,2.56}{20,4}.100\% = 54,9\%$

$\%m_{Zn} = \dfrac{0,1.65}{20,4}.100\% = 31,9\%$
$\%m_{Al} = 100\% - 54,9\% - 31,9\% = 13,2\%$