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

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

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

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)

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

\(n_{H_2}=\dfrac{5,6}{22,4}=0,25(mol)\\ a,PTHH:Fe+2HCl\to FeCl_2+H_2\\ 2Al+6HCl\to 2AlCl_3+3H_2\)

\(b,\) Đặt \(n_{Fe}=x(mol);n_{Al}=y(mol)\)

\(\Rightarrow 56x+27y=8,3(1)\)

Theo PTHH: \(x+1,5y=0,25(2)\)

\((1)(2)\Rightarrow x=y=0,1(mol)\\ \Rightarrow \%_{Fe}=\dfrac{0,1.56}{8,3}.100\%=67,47\%\\ \%_{Al}=100\%-67,47\%=32,53\%\)

Đáp án A

Cho Mg và Ag tác dụng với HCl chỉ có Mg phản ứng.

a)\(n_{H_2}=\dfrac{5,6}{22,4}=0,25\left(mol\right)\)

PTHH: 2Al + 3H₂SO₄ → Al₂(SO₄)₃ + 3H₂

Mol:       x                                                     1,5x

PTHH: Mg + H₂SO₄ → MgSO₄ + H₂

Mol:      y                                                 y

Ta có: \(\left\{{}\begin{matrix}27x+24y=5,1\\1,5x+y=0,25\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=0,1\\y=0,1\end{matrix}\right.\)

\(\%m_{Al}=\dfrac{0,1.27.100\%}{5,1}=52,94\%;\%m_{Mg}=100-52,94=47,06\%\)

b) 

PTHH: 2Al + 3H₂SO₄ → Al₂(SO₄)₃ + 3H₂

Mol:      0,1      0,15                  0,05                            

PTHH: Mg + H₂SO₄ → MgSO₄ + H₂

Mol:     0,1       0,1                 0,1

\(m_{ddH_2SO_4}=\dfrac{\left(0,1+0,15\right).98.100}{9,8}=250\left(g\right)\)

m_{dd sau pứ} = 5,1+250-0,15.2 = 254,8(g)

\(C\%_{ddAl_2\left(SO_4\right)_3}=\dfrac{0,05.342.100\%}{254,8}=6,71\%\)

\(C\%_{ddMgSO_4}=\dfrac{0,1.120.100\%}{254,8}=4,71\%\)

\(a.n_{H_2}=\dfrac{5,6}{22,4}=0,25\left(mol\right)\\ Đặt:\left\{{}\begin{matrix}n_{Al}=a\left(mol\right)\\n_{Mg}=b\left(mol\right)\end{matrix}\right.\left(a,b>0\right)\\ 2Al+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2\\ Mg+H_2SO_4\rightarrow MgSO_4+H_2\\ \rightarrow\left\{{}\begin{matrix}27a+24b=5,1\\1,5a+b=0,25\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,1\\b=0,1\end{matrix}\right.\\ \left\{{}\begin{matrix}\%m_{Al}=\dfrac{27.0,1}{5,1}.100\approx52,941\%\\\%m_{Mg}\approx47,059\%\end{matrix}\right.\)

\(b.m_{ddH_2SO_4}=\dfrac{0,25.98.100}{9,8}=250\left(g\right)\\ m_{ddsau}=m_{Al,Mg}+m_{ddH_2SO_4}-m_{H_2}=5,1+250-0,25.2=254,6\left(g\right)\\ C\%_{ddAl_2\left(SO_4\right)_3}=\dfrac{0,05.342}{254,6}.100\approx6,716\%\\ C\%_{ddMgSO_4}=\dfrac{0,1.120}{254,6}.100\approx4,713\%\)

Đáp án C

Gọi a, b là số mol của Al và Fe trong 8,3 g hỗn hợp ban đầu

Gọi nMg=a mol nAl=b mol
=>mcr=24a+27b=6,3 gam
Mg+2HCl=>MgCl2+H2
a mol                 =>a mol
2Al+6HCl=>2AlCl3+3H2
b mol                      =>1,5b mol
nH2=1,5b+a=0,3
=>b=0,1 mol a=0,15 mol
mMg=3,6 gam
mAl=2,7gam
Gọi CT oxit là M2On

nH2        + M2On  => 2M + nH2O
0,3 mol=>0,3/n mol
n oxit=0,3/n mol
=>m oxit=0,3(2M+16n)=17,4n
=>M=21n
chọn n=8/3
=>M=56 CT oxit của M là Fe3O4