2Al + 6HCl -> 2AlCl₃ + 3H₂ (1)

ZnO + 2HCl -> ZnCl₂ + H₂O (2)

a) n_H2= 13,44/22.4=0.6(mol) -> mH2=0,6.2=1,2(g)

Theo PTHH: n_Al = 2/3 n_H2 = 2/3 . 0,6= 0,4(mol) -> m_Al = 0,4 . 27=10,8(g)

-> m_ZnO = 27-10,8= 16,2(g)

b) n_ZnO = 16,2/81=0,2(mol)

Theo PTHH (2): nHCl = 2nZnO=2.0,2=0,4(mol)

Theo PTHH (1) : nHCl=2nH₂=2.0,6=1,2(mol)

-> \(\Sigma\)nHCl = 0,4+1,2=1,6(mol)

-> mHCl = 1,6.36,5= 58,4(g)

-> mdd_HCl = 58,4.100/29,2= 200(g)

c) Theo PTHH (1): nAlCl₃ = 2/3 nH₂ = 2/3 . 0,6=0,4(mol)                                         -> mAlCl3=0,4.133,5=53,4(g)

mdd sau phản ứng= m_A + mddHCl - mH2 =27+200-1,2 =225,8(g)

-> C% AlCl3 = 53,4.100%/225,8 = 20,88%

Theo PTHH (2) nZnCl2 =nZnO= 0,2(mol)-> mZnCl2=0,2.136=27,2(g)

-> C% ZnCl2= 27,2.100%/255,8=10,63%

Ta vó n_H2 = \(\dfrac{13,44}{22,4}\) = 0,6 ( mol )

2Al + 6HCl \(\rightarrow\) 2AlCl₃ + 3H₂

0,4.......0,6...........0,4........0,6

=> m_Al = 27 . 0,4 = 10,8 ( gam )

=> %m_Al = \(\dfrac{10,8}{27}\) . 100 = 40 %

=> %m_Zn = 100 - 40 = 60 %

=> m_ZnO = 27 - 10,8 = 16,2 ( gam )

=> n_ZnO = \(\dfrac{16,2}{81}\) = 0,2 ( mol )

ZnO + 2HCl \(\rightarrow\) ZnCl₂ + H₂O

0,2........0,4.........0,2

=> m_HCl = ( 0,4 + 0,6 ) . 36,5 = 36,5 ( gam )

=> m_{HCl cần dùng} = 36,5 : 29,2 . 100 = 125 ( gam )

=> m_AlCl3 = 0,4 . 133,5 = 53,4 ( gam )

=> m_ZnCl2 = 136 . 0,2 = 27,2 ( gam )

M_{dung dịch} = M_{tham gia} - M_H2

= 27 + 125 - 0,6 . 2

= 150,8 ( gam )

==> C%_AlCl3 = \(\dfrac{53,4}{150,8}\times100\approx35,4\%\)

=> C%_ZnCl2 = \(\dfrac{27,2}{150,8}\times100\approx18,04\%\)

Gọi n_Mg = x 

       n_Al = y   (mol)

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

\(\rightarrow x=0,1;y=0,1\)

\(\%m_{Mg}=\dfrac{0,1.24}{5,1}.100\%\approx47,06\%\)

\(\%m_{Al}=100\%-47,06\%=52,94\%\)

\(m_{H_2SO_4}=\dfrac{\left(0,1+0,15\right).98.100}{10}=245\left(g\right)\)

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)

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

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

\(n_{H_2}=\dfrac{5,6}{22,4}=0,25(mol)\\ Mg+H_2SO_4\to MgSO_4+H_2\\ MgO+H_2SO_4\to MgSO_4+H_2O\\ \Rightarrow n_{Mg}=0,25(mol)\\ a,\begin{cases} \%_{Mg}=\dfrac{0,25.24}{14}.100\%=42,86\%\\ \%_{MgO}=100\%-42,86\%=57,14\% \end{cases}\\ b,n_{MgO}=\dfrac{14-0,25.24}{40}=0,2(mol)\\ \Rightarrow \Sigma n_{H_2SO_4}=0,2+0,25=0,45(mol)\\ \Rightarrow C\%_{H_2SO_4}=\dfrac{0,45.98}{200}.100\%=22,05\%\)

a, Ta có: 27n_Al + 56n_Fe = 0,83 (1)

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

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

Theo PT: \(n_{H_2}=\dfrac{3}{2}n_{Al}+n_{Fe}=\dfrac{0,56}{22,4}=0,025\left(mol\right)\left(2\right)\)

Từ (1) và (2) \(\Rightarrow n_{Al}=n_{Fe}=0,01\left(mol\right)\)

\(\Rightarrow\left\{{}\begin{matrix}\%m_{Al}=\dfrac{0,01.27}{0,83}.100\%\approx32,53\%\\\%m_{Fe}\approx67,47\%\end{matrix}\right.\)

b, n_H2SO4 = n_H2 = 0,025 (mol)

\(\Rightarrow m_{ddH_2SO_4}=\dfrac{0,025.98}{20\%}=12,25\left(g\right)\)

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

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