a) 

\(n_{H_2}=\dfrac{0,6}{2}=0,3\left(mol\right)\)

PTHH: 2M + 3H₂SO₄ --> M₂(SO₄)₃ + 3H₂

           0,2<----0,3<--------0,1<-------0,3

=> \(M_M=\dfrac{5,4}{0,2}=27\left(g/mol\right)\)

=> M là Al

b) \(C\%_{dd.H_2SO_4}=\dfrac{0,3.98}{395,2}.100\%=7,44\%\)

c) 

PTHH: 2Al + 6HCl --> 2AlCl₃ + 3H₂

          0,2-->0,6

=> \(V_{dd.HCl}=\dfrac{0,6}{1}=0,6\left(l\right)=600\left(ml\right)\)

Bài 1 : 

$R + 2HCl \to RCl_2 + H_2$
n R = n H2 = 2,24/22,4 = 0,1(mol)

M R = 2,4/0,1 = 24(Mg) - Magie

Bài 2 : 

$2R + 6HCl \to 2RCl_3 + 3H_2$
n H2 = 3,36/22,4 = 0,15(mol)

n R = 2/3 n H2 = 0,1(mol)

M R = 2,7/0,1 = 27(Al) - Nhôm

\(n_X=\dfrac{7,2}{M_X}\left(mol\right)\)

PTHH: X + H₂SO₄ --> XSO₄ + H₂

____\(\dfrac{7,2}{M_X}\)------------->\(\dfrac{7,2}{M_X}\)

\(\dfrac{7,2}{M_X}\left(M_X+96\right)=36=>M_X=24\left(Mg\right)\)

\(X+H_2SO_4\rightarrow XSO_4+H_2\\Tacó: n_X=n_{XSO_4}\\ \Rightarrow\dfrac{7,2}{X}=\dfrac{36}{X+96}\\ \Rightarrow X=24\left(Magie-Mg\right)\)

\(n_X=\dfrac{7,2}{M_X}\left(mol\right)\)

PTHH: X + H₂SO₄ --> XSO₄ + H₂

____\(\dfrac{7,2}{M_X}\)----------->\(\dfrac{7,2}{M_X}\)

=> \(\dfrac{7,2}{M_X}\left(M_X+96\right)=36=>M_X=24\left(g/mol\right)\)

=> X là Mg (Magie)

Gọi x là số mol của kim loại X

PTHH: X + H₂SO₄  XSO₄ + H₂

Theo định luật bảo toàn khối lượng ta có:

 mX + mH₂SO₄ = _m muối + ^mH₂

 7,2  + 98x         = 36        + 2x

                 x = 0,3 (mol)

M_X = 7,2 : 0,3 = 24 (g/mol)                    

   X là magie (Mg)

\(n_{XCl_3}=\dfrac{a}{M_X+106,5}\left(mol\right)\)

PTHH: 2X + 6HCl --> 2XCl₃ + 3H₂

=> \(n_X=\dfrac{a}{M_X+106,5}\left(mol\right)\)

\(n_{X_2\left(SO_4\right)_3}=\dfrac{b}{2.M_X+288}\left(mol\right)\)

PTHH: 2X + 3H₂SO₄ --> X₂(SO₄)₃ + 3H₂

=> \(n_X=\dfrac{b}{M_X+144}\left(mol\right)\)

\(m_{ACl_3}=\dfrac{325.10}{100}=32,5g\\ n_{A_2O_3}=\dfrac{16}{2A+48}mol\\ n_{ACl_3}=\dfrac{32,5}{A+106,5}mol\\ A_2O_3+6HCl\rightarrow2ACl_3+3H_2O\\ \Rightarrow n_A=n_{ACl_3}:2\\ \Leftrightarrow\dfrac{16}{2A+48}=\dfrac{32,5}{A+106,5}:2\\ \Leftrightarrow A=56\)

Vậy A là Fe