\(\left\{{}\begin{matrix}n_{Mg}=a\left(mol\right)\\n_{Al}=b\left(mol\right)\\n_{Fe}=c\left(mol\right)\end{matrix}\right.\)⇒ 24a + 27b + 56c = 26,05(1)

\(Mg + 2HCl \to MgCl_2 + H_2\\ 2Al +6HCl \to 2AlCl_3 + 3H_2\\ Fe + 2HCl \to FeCl_2 + H_2\\ n_{H_2} = a + 1,5b + c = \dfrac{13,44}{22,4} = 0,6(2)\)

\(Mg + Cl_2 \xrightarrow{t^o} MgCl_2\\ 2Al + 3Cl_2 \xrightarrow{t^o} 2AlCl_3\\ 2Fe + 3Cl_2 \xrightarrow{t^o} 2FeCl_3\\ n_{Cl_2} = a + 1,5b + 1,5c = \dfrac{17,36}{22,4} = 0,775(3)\)

Từ (1)(2)(3) suy ra:  a = 0,325 ; b = -0,05 ; c = 0,35

→ Sai đề.

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

*Sửa đề: "13,44 lít H₂" và "24,9 gam hh 2 kim loại"

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

               a_____3a_____________\(\dfrac{3}{2}\)a                (mol)

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

               b_____2b_____________b                   (mol)

Ta lập HPT: \(\left\{{}\begin{matrix}27a+65b=24,9\\\dfrac{3}{2}a+b=\dfrac{13,44}{22,4}=0,6\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}a=0,2\\b=0,3\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}n_{Al}=0,2\left(mol\right)\\n_{Zn}=0,3\left(mol\right)\\n_{HCl}=1,2\left(mol\right)\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}m_{Al}=0,2\cdot27=5,4\left(g\right)\\m_{Zn}=19,5\left(g\right)\\m_{ddHCl}=\dfrac{1,2\cdot36,5}{7,3\%}=600\left(g\right)\end{matrix}\right.\)

\(n_{O_2}=\dfrac{5.6}{22.4}=0.25\left(mol\right)\)

\(n_{H_2}=\dfrac{10.08}{22.4}=0.45\left(mol\right)\)

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

\(3Fe+2O_2\underrightarrow{^{^{t^0}}}Fe_3O_4\)

\(a.......\dfrac{2a}{3}\)

\(4Al+3O_2\underrightarrow{^{^{t^0}}}2Al_2O_3\)

\(b.......\dfrac{3b}{4}\)

\(n_{O_2}=\dfrac{2a}{3}+\dfrac{3b}{4}=0.25\left(mol\right)\left(1\right)\)

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

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

\(n_{H_2}=a+1.5b=0.45\left(mol\right)\left(2\right)\)

\(\left(1\right),\left(2\right):a=0.15,b=0.2\)

\(m_{Fe}=0.15\cdot56=8.4\left(g\right)\)

\(m_{Al}=0.2\cdot27=5.4\left(g\right)\)

\(\%m_{Fe}=\dfrac{8.4}{8.4+5.4}\cdot100\%=60.8\%\)

\(\%m_{Al}=100-60.8=39.2\%\)

Đặt \(n_{Mg}=x(mol);n_{Al}=y(mol)\Rightarrow 24x+27y=7,8(1)\)

\(n_{H_2}=\dfrac{8,96}{22,4}=0,4(mol)\\ PTHH:Mg+2HCl\to MgCl_2+H_2\\ 2Al+6HCl\to 2AlCl_3+3H_2\\ \Rightarrow x+1,5y=0,4(2)\\ (1)(2)\Rightarrow x=0,1(mol);y=0,2(mol)\\ a,m_{Mg}=0,1.24=2,4(g)\\ m_{Al}=7,8-2,4=5,4(g)\\ b,\Sigma n_{HCl}=2x+3y=0,8(mol)\\ \Rightarrow V_{dd_{HCl}}=\dfrac{0,8}{2}=0,4(l)\)

\(c,PTHH:MgCl_2+2NaOH\to Mg(OH)_2\downarrow+2NaCl\\ AlCl_3+3NaOH\to Al(OH)_3\downarrow+3NaCl\\ n_{MgCl_2}=n_{Mg(OH)_2}=x=0,1(mol)\\ n_{Al(OH)_3}=n_{AlCl_3}=y=0,2(mol)\\ \Rightarrow m_{Mg(OH)_2}=0,1.58=5,8(g)\\ m_{Al(OH)_3}=0,2.78=15,6(g)\\ m_{kết tủa}=5,8+15,6=21,4(g)\)

Ta có: \(n_{H_2}=\dfrac{2,24}{22,4}=0,1\left(mol\right)\)

a. PTHH: 

Mg + 2HCl ---> MgCl₂ + H₂ (1)

MgO + 2HCl ---> MgCl₂ + H₂O (2)

Theo PT₍₁₎: \(n_{Mg}=n_{H_2}=0,1\left(mol\right)\)

=> \(m_{Mg}=0,1.24=2,4\left(g\right)\)

=> \(m_{MgO}=4,4-2,4=2\left(g\right)\)

b. Ta có: \(n_{MgO}=\dfrac{2}{40}=0,05\left(mol\right)\)

=> \(n_{hh}=0,05+0,1=0,15\left(mol\right)\)

Theo PT_(1,2): \(n_{HCl}=2.n_{hh}=2.0,15=0,3\left(mol\right)\)

=> \(V_{dd_{HCl}}=\dfrac{0,3}{0,4}=0,75\left(lít\right)\)

2Al+6Hcl->2AlCl₃+3H₂

x-----------------x--------3\2x

Fe+2HCl->FeCl₂+H₂

y-----------------y------y 

Ta có :

\(\left\{{}\begin{matrix}27x+56y=9,65\\\dfrac{3}{2}x+y=0,325\end{matrix}\right.\)

=>x=0,15 mol, y=0,1 mol

=>m Al=0,15.27=4,05g

=>m Fe=56.0,1=5,6g

b)

=>m AlCl3=0,15.133,5=20,025g

=>m FeCl2=0,1.127=12,7g

\(\left\{{}\begin{matrix}Al\\Fe\end{matrix}\right.+HCl->\left\{{}\begin{matrix}AlCl3\\FeCl2\end{matrix}\right.+7,28lH2\)

a, 

Ta có :

\(\left\{{}\begin{matrix}27x+56y=9,65\\3x+2y=0,65\left(bt-e\right)\end{matrix}\right.\)

\(\left\{{}\begin{matrix}x=0,15\left(mol\right)\\y=0,1\left(mol\right)\end{matrix}\right.\)

\(\left\{{}\begin{matrix}mAl=0,15.27=4,05\left(g\right)\\mFe=0,1.56=5,6\left(g\right)\end{matrix}\right.\)

b,

Bảo toàn nguyên tố :

nAl = nAlCl3 = 0,15 ( mol )

nFe = nFeCl2 = 0,1 ( mol )

Khối lượng chất tan A :

m = 0,15 . 133,5 + 0,1 . 127 = 32,725(g)