\(a) n_{Fe_2O_3} = \dfrac{8}{160} = 0,05(mol)\\ Fe_2O_3 + 6HCl \to 2FeCl_3 + 3H_2O\\ n_{FeCl_3} = 2n_{Fe_2O_3} = 0,1(mol)\\ m_{FeCl_3} = 0,1.162,5 = 16,25(gam)\\ b) n_{HCl} = 6n_{Fe_2O_3} = 0,05.6 = 0,3(mol)\\ V_{dd\ HCl} = \dfrac{0,3}{0,5} = 0,6(lít)\\ c) C_{M_{FeCl_3}} = \dfrac{0,1}{0,5} = 0,2M\)

PTHH: \(Fe+2HCl\rightarrow FeCl_2+H_2\uparrow\)

            \(FeO+2HCl\rightarrow FeCl_2+H_2O\)

Ta có: \(n_{H_2}=\dfrac{2,24}{22,4}=0,1\left(mol\right)=n_{Fe}\) \(\Rightarrow n_{FeO}=\dfrac{12,8-0,1\cdot56}{72}=0,1\left(mol\right)\)

Theo các PTHH: \(\Sigma n_{HCl}=2n_{Fe}+2n_{FeO}=0,4\left(mol\right)\)

\(\Rightarrow V_{HCl}=\dfrac{0,4}{0,1}=4\left(l\right)\)

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

Fe + 2HCl => FeCl₂ + H₂

0,1      0,2                    0,1

=> FeO = \(\dfrac{12,8-0,1.56}{72}=0,1\left(mol\right)\)

FeO + 2HCl => FeCl₂ + H₂O

0,1        0,2

VHCl = 0,2 . 22,4 = 4,48 lít

\(2A+2aHCl\rightarrow2ACl_a+aH_2\)

\(TheoPTHH:n_{H_2}=\dfrac{an_A}{2}=0,5an_A=0,5.a.\dfrac{1,17}{A}=\dfrac{V}{22,4}=0,015\)

\(\Rightarrow\dfrac{a}{A}=\dfrac{1}{39}\)

\(\Rightarrow\) A là Kali ( K ).

\(\Rightarrow n_{HCl}=2n_{H_2}=0,03\left(mol\right)\)

\(\Rightarrow V_{HCl}=\dfrac{n}{C_M}=\dfrac{0,03}{1,2}=0,025\left(l\right)=25\left(ml\right)\)

a) Ta có: \(n_{H_2}=\dfrac{15,68}{22,4}=0,7\left(mol\right)\)

Gọi a và b lần lượt là số mol của Al và Zn

Bảo toàn mol e: \(3a+2b=1,4\)

                   Mà \(27a+65b=31,4\)

\(\Rightarrow\left\{{}\begin{matrix}a=0,2\\b=0,4\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}\%m_{Al}=\dfrac{0,2\cdot27}{31,4}\cdot100\%\approx17,2\%\\\%m_{Zn}=82,8\%\end{matrix}\right.\)

b) Bảo toàn nguyên tố: \(n_{HCl}=2n_{H_2}=1,4mol\)

\(\Rightarrow V_{HCl}=\dfrac{1,4}{2}=0,7\left(l\right)=700\left(ml\right)\)

Đặt : 

nAl = a mol 

nZn = b mol 

mB = 27a + 65b = 31.4 (g) (1) 

2Al + 6HCl => 2AlCl3 + 3H2 

a___________________1.5a

Zn + 2HCl => ZnCl2 + H2 

b__________________b

nH2 = 1.5a + b = 15.68/22.4 = 0.7 (mol) (2) 

(1) , (2) : 

a = 0.2

b = 0.4 

%Al = 5.4/31.4 * 100% = 17.19%

%Zn = 100 - 17.19 = 82.81%

nHCl = 2nH2 = 0.7*2 = 1.4 (mol) 

Vdd HCl = 1.4 / 2 = 0.7 (l) 

\(n_{Fe}=n_{H_2}=0,1\left(mol\right)\)

\(\Rightarrow m_{Fe}=5,6\left(g\right)\)

\(\Rightarrow m_{Fe_2O_3}=16\left(g\right)\)

\(\Rightarrow n_{Fe}=2n_{Fe_2O_3}=0,2\left(mol\right)=n_{FeCl_3}\)

Lại có : \(n_{HCl}=2n_{H_2}+3n_{FeCl_3}=0,8\left(mol\right)\)

\(\Rightarrow m_{ddHCl}=292\left(g\right)\)

\(\Rightarrow V=\dfrac{2920}{11}\left(ml\right)=\dfrac{73}{275}\left(l\right)\)

\(\Rightarrow C_{MFeCl_3}=\dfrac{0,2}{\dfrac{73}{275}}=\dfrac{55}{73}\left(M\right)\)

\(n_{H_2} = 1(mol)\)

Fe + 2HCl → FeCl₂ + H₂

1.........2.......................1.............(mol)

⇒ m_Fe = 1.56 = 56 > m_{hỗn hợp} = 21,6

(Sai đề)

Gọi : \(\left\{{}\begin{matrix}n_{MgO}=a\left(mol\right)\\n_{Zn}=b\left(mol\right)\end{matrix}\right.\)⇒ 40a + 65b = 34(1)

\(MgO + 2HCl \to MgCl_2 + H_2O\\ Zn + 2HCl \to ZnCl_2 + H_2O\)

Muối gồm  :\(\left\{{}\begin{matrix}n_{MgCl_2}=a\left(mol\right)\\n_{ZnCl_2}=b\left(mol\right)\end{matrix}\right.\)

Suy ra : 95a + 136b = 73,4(2) 

Từ (1)(2) suy ra a = 0,2 ; b = 0,4

Vậy :

\(\%m_{MgO} = \dfrac{0,2.40}{34} .100\% = 23,53\%\\ \%m_{Zn} = 100\% - 23,53\% = 76,47\%\)