Sửa đề : 3.36 (l) 

\(n_{H_2}=\dfrac{3.36}{22.4}=0.15\left(mol\right)\)

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

\(0.1.........0.15...............0.05.......0.15\)

\(m_{Al}=0.1\cdot27=2.7\left(g\right)\)

\(m_{Al_2\left(SO_4\right)_3}=0.05\cdot342=17.1\left(g\right)\)

\(m_{H_2SO_4}=0.15\cdot98=14.7\left(g\right)\)

a)Gọi x,y lần lượt là số mol của Al, Fe trong hỗn hợp ban đầu (x,y>0)

Sau phản ứng hỗn hợp muối khan gồm: \(\left\{{}\begin{matrix}AlCl_3:x\left(mol\right)\\FeCl_2:y\left(mol\right)\end{matrix}\right.\)

Ta có hệ phương trình: \(\left\{{}\begin{matrix}27x+56y=13,9\\133,5x+127y=38\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x\approx0,0896\\y\approx0,205\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}\%m_{Al}=\dfrac{0,0896\cdot27\cdot100\%}{13,9}\approx17,4\%\\\%m_{Fe}=\dfrac{0,205\cdot56\cdot100\%}{13,9}\approx82,6\%\end{matrix}\right.\)

Theo Bảo toàn nguyên tố Cl, H ta có:\(n_{H_2}=\dfrac{n_{HCl}}{2}=\dfrac{3n_{AlCl_3}+2n_{FeCl_2}}{2}\\ =\dfrac{3\cdot0,0896+2\cdot0,205}{2}=0,3394mol\\ \Rightarrow V_{H_2}=0,3394\cdot22,4\approx7,6l\)

2Al+3H2SO4->Al2(SO4)3+3H2

0,1----------------------0,075----0,15

n H2=0,15 mol

=>mAl=0,1.27=2,7g

=>m Al2(SO4)3=0,075.342=25,65g

a) PTHH: \(2Al+3H_2SO_2\rightarrow Al_2\left(SO_4\right)_3+3H_2\)

b) \(n_{H_2}=\dfrac{3,36}{22,4}=0,15\left(mol\right)\)

\(n_{Al}=\dfrac{2}{3}.0,15=0,1\left(mol\right)\)

\(m_{Al}=0,1.27=2,7\left(g\right)\)

c) \(n_{Al_2\left(SO_4\right)_3}=\dfrac{1}{2}.0,1=0,05\left(mol\right)\)

\(m_{Al_2\left(SO_4\right)_3}=0,05.342=17,1\left(g\right)\)

2Al+3H2SO4->Al2(SO4)3+3H2

0,1----------------------0,075----0,15

n H2=0,15 mol

=>mAl=0,1.27=2,7g

=>m Al2(SO4)3=0,075.342=25,65g

\(\left(a\right)2Al+3H_2O\rightarrow Al_2\left(SO_4\right)_3+3H_2\\ \left(b\right)n_{H_2}=\dfrac{13,44}{22,4}=0,6mol\\ n_{Al}=\dfrac{0,6.2}{3}=0,4mol\\ m_{Al}=0,4.27=10,8g\\ \left(c\right)n_{O_2}=\dfrac{4,8}{32}=0,15mol\\ 4Al+3O_2\underrightarrow{t^0}2Al_2O_3\\ \Rightarrow\dfrac{0,4}{4}>\dfrac{0,15}{3}\Rightarrow Al.dư\\ n_{Al_2O_3}=\dfrac{0,15.2}{3}=0,1mol\\ m_{oxit}=m_{Al_2O_3}=0,1.102=10,2g\)

a: \(2Al+3H_2SO_4\rightarrow1Al_2\left(SO_4\right)_3+3H_2\uparrow\)

    0,4           0,6                0,2             0,6

b: \(n_{H_2}=\dfrac{13.44}{22.4}=0.6\left(mol\right)\)

=>\(n_{Al}=0.4\left(mol\right)\)

\(m_{Al}=0.4\cdot27=10.8\left(g\right)\)

c: \(4Al+3O_2\rightarrow2Al_2O_3\)

0,4                      0,2

\(m_{Al_2O_3}=0.2\left(27\cdot2+16\cdot3\right)=0.2\cdot102=20.4\left(g\right)\)

\(n_{H_2}=\dfrac{13,44}{22,4}=0,6\left(mol\right)\)

PTHH ;

2Al + 3H2SO4 --> Al2(SO4)3 + 3H2↑

  0,4           0,6               0,2           0,6

4Al + 3O2 ---> 2Al2O3

0,2       0,15          0,1 

\(n_{O_2}=\dfrac{4,8}{32}=0,15\left(mol\right)\)

\(\dfrac{0,4}{4}>\dfrac{0,15}{3}\)

--> Tính theo oxi

\(b,m_{Al}=0,4.27=10,8\left(g\right)\)

\(c,m_{Al_2O_3}=0,1.102=10,2\left(g\right)\)

\(A: M, Fe\\ A+H_2SO_4 \to ASO_4+H_2\\ n_{H_2}=\frac{5,376}{22,4}=0,24(mol)\\ n_A=n_{H_2}=0,24(mol)\\ M_A=\frac{12}{0,24}=50(g/mol)\\ A+2HCl \to ACl_2+H_2\\ n_A=\frac{1}{2}.n_{HCl}=\frac{1}{2}.0,24=0,12(mol)\\ M_A=\frac{3,6}{0,12}=30(g/mol)\\ 30< A <50\\ a/ \\\Rightarrow A: Ca\\ b/ \\ Fe+H_2SO_4 \to FeSO_4+H_2\\ Ca+H_2SO_4 \to CaSO_4+H_2\\ n_{Fe}=a(mol)\\ n_{Ca}=b(mol)\\ m_{hh}=56a+40b=12(1)\\ n_{H_2}=a+b=0,24(mol)(2)\\ (1)(2)\\ a=0,15\\ b=0,09\\ \%m_{Fe}=\frac{0,15.56}{12}.100\%=70\%\\ \%m_{Ca}=100\%-70\%=30\% \)

1/ n_H2 = 0,39 mol; n_HCl = 0,5 mol; n_H2SO4 = 0,14 mol

n_H+= 0,5 + 0,14.2 = 0,78 = 2nH2 

=> axit phản ứng vừa đủ

Bảo toàn khối lượng: m_{kim loại}  + m_HCl + m_H2SO4 = m_{muối khan} + m_H2

=> m_{muối khan} = 7,74 + 0,5.36,5 + 0,14.98 – 0,39.2 = 38,93 gam

2/ Đặt x, y là số mol Mg, Al

\(\left\{{}\begin{matrix}24x+27y=7,74\\x+\dfrac{3}{2}y=0,39\end{matrix}\right.\)

=> x=0,12 ; y=0,18

Để thu được kết tủa lớn nhất thì Al(OH)₃ không bị tan trong NaOH

Dung dịch A : Mg²⁺ (0,12 mol) , Al³⁺ (0,18 mol)

\(Mg^{2+}+2OH^-\rightarrow Mg\left(OH\right)_2\)

\(Al^{3+}+3OH^-\rightarrow Al\left(OH\right)_3\)

=> \(n_{OH^-}=n_{NaOH}=0,12.2+0,18.3=0,78\left(mol\right)\)

=> \(V_{NaOH}=\dfrac{0,78}{2}=0,39\left(lít\right)\)

a, \(Mg+H_2SO_4\rightarrow MgSO_4+H_2\)

b, \(n_{Mg}=\dfrac{2,4}{24}=0,1\left(mol\right)\)

\(n_{H_2SO_4}=\dfrac{200.8\%}{98}=\dfrac{8}{49}\left(mol\right)\)

Xét tỉ lệ: \(\dfrac{0,1}{1}< \dfrac{\dfrac{8}{49}}{1}\), ta được H₂SO₄ dư.

Theo PT: \(n_{H_2SO_4\left(pư\right)}=n_{MgSO_4}=n_{H_2}=n_{Mg}=0,1\left(mol\right)\)

\(\Rightarrow m_{H_2SO_4\left(dư\right)}=\left(\dfrac{8}{49}-0,1\right).98=6,2\left(g\right)\)

c, \(C\%_{MgSO_4}=\dfrac{0,1.120}{2,4+200-0,1.2}.100\%\approx5,93\%\)