a, \(Mg+2HCl\rightarrow MgCl_2+H_2\)

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

b, Ta có: 24n_Mg + 56n_Fe = 10,4 (1)

Theo PT: \(n_{H_2}=n_{Mg}+n_{Fe}=\dfrac{6,72}{22,4}=0,3\left(mol\right)\left(2\right)\)

Từ (1)  và (2) \(\Rightarrow\left\{{}\begin{matrix}n_{Mg}=0,2\left(mol\right)\\n_{Fe}=0,1\left(mol\right)\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}m_{Fe}=0,2.24=4,8\left(g\right)\\m_{Fe}=0,1.56=5,6\left(g\right)\end{matrix}\right.\)

c, Theo PT: \(n_{HCl}=2n_{H_2}=0,6\left(mol\right)\Rightarrow V_{ddHCl}=\dfrac{0,6}{0,5}=1,2\left(l\right)\)

\(a,\) Đặt \(\begin{cases} n_{Fe}=x(mol)\\ n_{Al}=y(mol) \end{cases}\Rightarrow 56x+27y=22(1)\)

\(n_{H_2}=\dfrac{17,92}{22,4}=0,8(mol)\\ PTHH:Fe+2HCl\to FeCl_2+H_2\\ 2Al+6HCl\to 2AlCl_3+3H_2\\ \Rightarrow x+1,5y=0,8(2)\\ (1)(2)\Rightarrow \begin{cases} x=0,2(mol)\\ y=0,4(mol) \end{cases} \Rightarrow \begin{cases} \%_{Fe}=\dfrac{0,2.56}{22}.100\%=50,91\%\\ \%_{Al}=100\%-50,91\%=49,09\% \end{cases} \)

\(b,\Sigma n_{HCl}=2n_{Fe}+3n_{Al}=0,4+1,2=1,6(mol)\\ \Rightarrow m_{dd_{HCl}}=\dfrac{1,6.36,5}{3,7\%}=1578,38\%\)

a,\(n_{H_2}=\dfrac{2,24}{22,4}=0,1\left(mol\right)\)
PTHH: Fe + 2HCl → FeCl₂ + H₂

Mol:     0,1    0,2                             0,1

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

\(\Rightarrow\%m_{Fe}=\dfrac{5,6.100\%}{12}=46,67\%;\%m_{Cu}=100-46,67=53,33\%\)

c,\(m_{HCl}=0,2.36,5=7,3\left(g\right)\Rightarrow m_{ddHCl}=\dfrac{7,3.100}{14,6}=50\left(g\right)\)

Gọi số mol của Cu, Fe, Al trong 23,8 gam hhX lần lượt là x, y, z mol

→ m_X = 64x + 56y + 27z = 23,8 (1)
\(n_{Cl_2}\) = x + 1,5y + 1,5z = 0,65 (2)
0,25 mol X + HCl → 0,2 mol H2 nên 0,2.(x + y + z) = 0,25.(y + 1,5z) (3)
Từ (1), (2), (3) => x = 0,2 mol; y = 0,1 mol; z = 0,2 mol 

\(\%_{Cu} = \dfrac{0,2. 64}{23,8} \approx 53,78\%\)

\(\%_{Fe} = \dfrac{0,1 .56}{23,8} \approx 23,53\%\)

 %_Al ≈ 22,69%

a, Ta có: 65n_Zn + 27n_Al = 11,9 (1)

PT: \(Zn+2HCl\rightarrow ZnCl_2+H_2\)

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

Theo PT: \(n_{H_2}=n_{Zn}+\dfrac{3}{2}n_{Al}=\dfrac{9,916}{24,79}=0,4\left(mol\right)\left(2\right)\)

Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}n_{Zn}=0,1\left(mol\right)\\n_{Al}=0,2\left(mol\right)\end{matrix}\right.\)

⇒ m_Zn = 0,1.65 = 6,5 (g)

m_Al = 0,2.27 = 5,4 (g)

b, Theo PT: n_ZnCl2 = n_Zn = 0,1 (mol)

n_AlCl3 = n_Al = 0,2 (mol)

⇒ m _muối = 0,1.136 + 0,2.133,5 = 40,3 (g)

c, Theo PT: n_HCl = 2n_H2 = 0,8 (mol)

\(\Rightarrow m_{ddHCl}=\dfrac{0,8.36,5}{10\%}=292\left(g\right)\)

Câu 1: 

\(n_{H_2}=\dfrac{2.91362}{22.4}=0.13mol\)

\(Mg+H_2SO_4\rightarrow MgSO_4+H_2\)

 a           a                a           a

\(2Al+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2\)

 2b          3b               b                 3b

Ta có: \(\left\{{}\begin{matrix}24a+54b=2.58\\a+3b=0.13\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0.04\\b=0.03\end{matrix}\right.\)

\(m_{Mg}=0.04\times24=0.96g\)

\(m_{Al}=0.03\times2\times27=1.62g\)

\(V_{H_2SO_4}=\dfrac{0.04+3\times0.03}{0.5}=0.26l\)

Câu 2:

\(n_{H_2}=\dfrac{3.136}{22.4}=0.14mol\)

\(Mg+H_2SO_4\rightarrow MgSO_4+H_2\)

a            a              a             a

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

b           b                 b         b

Ta có: \(\left\{{}\begin{matrix}24a+56b=4.96\\a+b=0.14\end{matrix}\right.\)\(\Leftrightarrow\left\{{}\begin{matrix}a=0.09\\b=0.05\end{matrix}\right.\)

\(m_{Mg}=0.09\times24=2.16g\)

\(m_{Fe}=0.05\times56=2.8g\)

\(C\%_{H_2SO_4}=\dfrac{0.14\times98\times100}{200}=6.86\%\)

Câu 3: 

\(n_{H_2}=\dfrac{1.568}{22.4}=0.07mol\)

\(Ba+H_2SO_4\rightarrow BaSO_4+H_2\)

a           a              a             a

\(Mg+H_2SO_4\rightarrow MgSO_4+H_2\)

b          b                 b             b

Ta có: \(\left\{{}\begin{matrix}137a+24b=3.94\\a+b=0.07\end{matrix}\right.\)\(\Leftrightarrow\left\{{}\begin{matrix}a=0.02\\b=0.05\end{matrix}\right.\)

\(m_{Ba}=0.02\times137=2.74g\)

\(m_{Mg}=0.05\times24=1.2g\)

\(CM_{H_2SO_4}=\dfrac{0.07}{0.1}=0.7M\)

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

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

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

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

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

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

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

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

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

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

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

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

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

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