\(\text{Đặt }\left\{{}\begin{matrix}n_{Al}=x\left(mol\right)\\n_{Fe}=y\left(mol\right)\end{matrix}\right.\\ n_{H_2}=\dfrac{5,6}{22,4}=0,25\left(mol\right)\\ a,PTHH:\left\{{}\begin{matrix}2Al+6HCl\rightarrow2AlCl_3+3H_2\\Fe+2HCl\rightarrow FeCl_2+H_2\end{matrix}\right.\\ b,\text{Theo đề ta có HPT: }\left\{{}\begin{matrix}27x+56y=8,3\\\dfrac{3}{2}x+y=0,25\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=0,1\left(mol\right)\\y=0,1\left(mol\right)\end{matrix}\right.\\ \Rightarrow\left\{{}\begin{matrix}\%_{Al}=\dfrac{0,1\cdot27}{8,3}\approx32,53\%\\\%_{Fe}\approx67,47\%\end{matrix}\right.\)

\(c,\left\{{}\begin{matrix}n_{AlCl_3}=0,1\left(mol\right)\\n_{FeCl_2}=0,1\left(mol\right)\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}m_{AlCl_3}=0,1\cdot133,5=13,35\left(g\right)\\m_{FeCl_2}=0,1\cdot127=12,7\left(g\right)\end{matrix}\right.\\ \Rightarrow\sum m_{muối}=13,35+12,7=26,05\left(g\right)\)

a) Gọi `n_{Al} = a (mol); n_{Fe} = b (mol)`

PTHH:

`2Al + 3H_2SO_4 -> Al_2(SO_4)_3 + 3H_2`

`Fe + H_2SO_4 -> FeSO_4 + H_`

b) `n_{H_2} = (0,56)/(22,4) = 0,025 (mol)`

Theo PT: `n_{H_2} = n_{Fe} + 3/2 n_{Al}`

`=> b + 1,5a = 0,025`

Giải hpt \(\left\{{}\begin{matrix}27a+56b=0,83\\1,5a+b=0,025\end{matrix}\right.\Leftrightarrow a=b=0,01\)

=> \(\left\{{}\begin{matrix}\%m_{Al}=\dfrac{0,01.27}{0,83}.100\%=32,53\%\\\%m_{Fe}=100\%-32,53\%=67,47\%\end{matrix}\right.\)

PTHH: 

Zn + H₂SO₄ ---> ZnSO₄ + H₂ (1)

2Al + 3H₂SO₄ ---> Al₂(SO₄)₃ + 3H₂ (2)

Ta có: \(n_{H_2}=\dfrac{1,792}{22,4}=0,08\left(mol\right)\)

Gọi x, y lần lượt là số mol của Zn và Al

a. Theo PT₍₁₎: \(n_{H_2}=n_{Zn}=x\left(mol\right)\)

Theo PT₍₂₎: \(n_{H_2}=\dfrac{3}{2}.n_{Al}=\dfrac{3}{2}y\left(mol\right)\)

=> \(x+\dfrac{3}{2}y=0,8\) (*)

Theo đề, ta có: 65x + 27y = 3,79 (**)

Từ (*) và (**), ta có HPT:

\(\left\{{}\begin{matrix}x+\dfrac{3}{2}y=0,8\\65x+27y=3,79\end{matrix}\right.\)

(Ra số âm, bn xem lại đề nhé.)

\(3,68g\left\{{}\begin{matrix}Fe\\Mg\end{matrix}\right.+HNO3->\left\{{}\begin{matrix}Fe\left(NO3\right)3\\Mg\left(NO3\right)2\end{matrix}\right.+5,376\left(l\right)NO2\)

Bảo toàn e :

\(3x+2y=0,24\)

Ta có :

\(\left\{{}\begin{matrix}56x+24y=3,68\\3x+2y=0,24\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=0,04\left(mol\right)\\y=0,06\left(mol\right)\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}\%mFe=\dfrac{0,04.56}{3,68}=60,87\%\\\%mMg=\dfrac{0,06.24}{3,68}=39,13\%\end{matrix}\right.\)

Bảo toàn nguyên tố Fe và Mg :

\(nFe=nFe\left(NO3\right)3=0,04\left(mol\right)\)

\(nMg=nMg\left(NO3\right)2=0,06\left(mol\right)\)

Ta có : \(nHNO3pu=0,04.3+0,06.2=0,24\left(mol\right)\)

\(\Rightarrow mHNO3=0,24.63=15,12\left(g\right)\)

a,\(n_{H_2}=\dfrac{11,2}{22,4}=0,5\left(mol\right)\)

PTHH: Zn + 2HCl → ZnCl₂ + H₂

Mol:      x                                 x    

PTHH: Fe + 2HCl → FeCl₂ + H₂

Mol:      y                                 y

Ta có: \(\left\{{}\begin{matrix}65x+56y=30,7\\x+y=0,5\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=0,3\left(mol\right)\\y=0,2\left(mol\right)\end{matrix}\right.\)

\(\Rightarrow\%m_{Zn}=\dfrac{0,3.65.100\%}{30,7}=63,52\%;\%m_{Fe}=100\%-63,52\%=36,48\%\)

b,

PTHH: Zn + 2HCl → ZnCl₂ + H₂

Mol:     0,3     0,6                             

PTHH: Fe + 2HCl → FeCl₂ + H₂

Mol:     0,2     0,4

n_HCl = 0,6+0,4 = 1 (mol)

\(V_{ddHCl}=\dfrac{1}{2}=0,5\left(l\right)=500\left(ml\right)\)

Gọi x,y lần lượt là số mol của Al, Fe

n_H2 = \(\dfrac{8,96}{22,4}\)=0,4 mol

Pt: 2Al + 3H₂SO₄ --> Al₂(SO₄)₃ + 3H₂

......x.................................0,5x...........1,5x

.....Fe + H₂SO₄ --> FeSO₄ + H₂

.......y..........................y............y

Ta có hệ pt:

 {27x+56y=11

   1,5x+y=0,4

⇔x=0,2, y=0,1

% m_Al = \(\dfrac{0,2.27}{11}\).100%=49,1%

% m_Fe = \(\dfrac{0,1.56}{11}\).100%=50,9%

m_Al2(SO4)3 = 0,5x . 342 = 0,5 . 0,2 . 342 = 34,2 (g)

m_FeSO4 = 152y = 152 . 0,1 = 15,2 (g)

Gọi CTTQ: M_xO_y

Pt: M_xO_y + yH₂ --to--> xM + yH₂O

\(\dfrac{0,4}{y}\)<-------0,4

Ta có: 232,2=\(\dfrac{0,4}{y}\)(56x+16y)

⇔23,2=\(\dfrac{22,4x}{y}\)+6,4

⇔\(\dfrac{22,4x}{y}\)=16,8

⇔22,4x=16,8y

⇔x:y=3:4

Vậy CTHH của oxit: Fe₃O₄

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

\(m_{hh}=27a+56b=6.95\left(g\right)\left(1\right)\)

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

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

\(n_{H_2}=1.5a+b=\dfrac{3.92}{22.4}=0.175\left(mol\right)\left(2\right)\)

\(\left(1\right),\left(2\right):a=0.05,b=0.1\)

\(\%Al=\dfrac{0.05\cdot27}{6.95}\cdot100\%=19.42\%\)

\(\%Fe=100-19.42=80.58\%\)

\(n_{H_2}=\dfrac{3,92}{22,4}=0,175(mol)\\ a,PTHH:2Al+3H_2SO_4\to Al_2(SO_4)_3+3H_2\\ Fe+H_2SO_4\to FeSO_4+H_2\\b,n_{Al}=x(mol);n_{Fe}=y(mol)\\ \Rightarrow 27x+56y=6,95;1,5x+y=0,175\\ \Rightarrow x=0,05(mol);y=0,1(mol)\\ \Rightarrow \%_{Al}=\dfrac{0,05.27}{6,95}.100\%=19,42\%\\ \Rightarrow \%_{Fe}=100\%-19,42\%=80,58\% \)