Gọi số mol Cu, Fe là a, b (mol)

=> 64a + 56b = 17,6 (1)

\(n_{SO_2}=\dfrac{8,96}{22,4}=0,4\left(mol\right)\)

PTHH: 2Fe + 6H₂SO₄ --> Fe₂(SO₄)₃ + 3SO₂ + 6H₂O

             b-------------------------------->1,5b

            Cu + 2H₂SO₄ --> CuSO₄ + SO₂ + 2H₂O

              a--------------------------->a

=> a + 1,5b = 0,4 (2)

(1)(2) => a = 0,1 (mol); b = 0,2 (mol)

=> \(\left\{{}\begin{matrix}\%m_{Cu}=\dfrac{0,1.64}{17,6}.100\%=36,36\%\\\%m_{Fe}=\dfrac{0,2.56}{17,6}.100\%=63,64\%\end{matrix}\right.\)

a) Gọi n_Cu = a (mol) => n_Fe = a (mol)

=> 64a + 56a = 12

=> a = 0,1 (mol)

PTHH:

Cu + 2H₂SO_{4 (đặc, nóng)} ---> CuSO₄ + SO₂ + 2H₂O

0,1------------------------------------------->0,1

2Fe + 6H₂SO_{4 (đặc, nóng)} ---> Fe₂(SO₄)₃ + 3SO₂ + 6H₂O

0,1--------------------------------------------------->0,3

=> V_SO2 = (0,3 + 0,1).22,4 = 8,96 (l)

b) \(n_{hh}=\dfrac{2,24}{22,4}=0,1\left(mol\right)\)

\(M_{hh}=24,5.2=49\left(\dfrac{g}{mol}\right)\)

Áp dụng sơ đồ đường chéo, ta có:

\(\dfrac{n_{SO_2}}{n_{H_2S}}=\dfrac{V_{SO_2}}{V_{H_2S}}=\dfrac{64-49}{49-34}=\dfrac{1}{1}\)

\(\rightarrow n_{SO_2}=n_{H_2S}=\dfrac{0,1}{2}=0,05\left(mol\right)\)

PTHH:

2R + 2nH₂SO_{4 (đặc, nóng)} ---> R₂(SO₄)_n + nSO₂ + 2nH₂O

\(\dfrac{0,1}{n}\)<------------------------------------------------0,05

8R + 5nH₂SO_{4 (đặc, nóng)} ---> 4R₂(SO₄)_n + nH₂S + 4nH₂O

\(\dfrac{0,4}{n}\)<-------------------------------------------------0,05

\(\rightarrow n_R=\dfrac{0,1}{n}+\dfrac{0,4}{n}=\dfrac{0,5}{n}\left(mol\right)\\ \rightarrow M_R=\dfrac{4,5}{\dfrac{0,5}{n}}=9n\left(\dfrac{g}{mol}\right)\)

Xét n = 3 thoả mãn => M_R = 27 (g/mol)

Vậy R là Al

\(n_{Cu}=a\left(mol\right),n_{Fe}=b\left(mol\right)\)

\(m_X=64a+56b=16.2\left(g\right)\left(1\right)\)

\(n_{SO_2}=\dfrac{8.96}{22.4}=0.4\left(mol\right)\)

Bảo toàn e : 

\(2a+3b=0.4\cdot2=0.8\left(2\right)\)

\(\left(1\right),\left(2\right):a=0.0475,b=0.235\)

\(\%Cu=\dfrac{0.0475\cdot64}{16.2}\cdot100\%=18.76\%\)

\(\%Fe=81.24\%\)

\(b.\)

\(\dfrac{a}{b}=\dfrac{0.0475}{0.235}=\dfrac{19}{94}\)

\(\Rightarrow n_{Cu}=19x\left(mol\right),n_{Fe}=94x\left(mol\right)\)

\(m_X=19x\cdot64+94x\cdot56=22\left(g\right)\)

\(\Rightarrow x=\dfrac{11}{3240}\)

\(n_{H_2}=n_{Fe}=\dfrac{11}{3240}\cdot94=\dfrac{517}{1620}\left(mol\right)\)

\(V_{H_2}=7.15\left(l\right)\)

Bài 1  :

\(NaCl + H_2SO_{4_{đặc}} \xrightarrow{t^o} NaHSO_4 + HCl\\ MnO_2 + 4HCl \to MnCl_2 + Cl_2 + 2H_2O\\ Cl_2 + SO_2 + 2H_2O \to 2HCl + H_2SO_4\\ Cu + 2H_2SO_4 \to CuSO_4 + SO_2 + 2H_2O\)

Bài 2 : 

n Cu = a(mol) ; n Fe = b(mol) => 64a + 56b = 12(1)

n SO2 = 5,6/22,4 = 0,25(mol)

Bảo toàn electron : 

2n Cu + 3n Fe = 2n SO2

<=> 2a + 3b = 0,5(2)

Từ (1)(2) suy ra a = b = 0,1

Vậy :

%m Cu = 0,1.64/12  .100% = 53,33%
%m Fe = 100% -53,33% = 46,67%

\(n_{SO_2}=\dfrac{13,644}{22,4}=0,61\left(mol\right)\)

Đặt n _Fe = x (mol) =>\(m_{Fe}=56x\)

Vì m _Fe = m_Mg => \(n_{Mg}=\dfrac{56x}{24}=\dfrac{7}{3}x\)

n_Al = y(mol)

=> 56x + 56x + 27y = 16,14 (1)

\(Fe\rightarrow Fe^{3+}+3e\)                                       \(S^{+6}+2e\rightarrow S^{+4}\)

\(Mg\rightarrow Mg^{2+}+2e\)

\(Al\rightarrow Al^{3+}+3e\)

Bảo toàn e : 3x + \(\dfrac{7}{3}.2x\) + 3y = 0,61.2 (2)

Từ (1), (2) => x=0,12 ; y=0,1

=> m_Fe =m_Mg=0,12.56 = 6,72(g)

m _Al = 0,1.27=2,7(g)

Gọi $n_{Fe} = a ; n_{Mg} = b; n_{Al} = c$

Ta có : 

$24b = 56a(1)$
$56a + 24b + 27c = 16,14(2)$

$n_{SO_2} = 0,61(mol)$
Bảo toàn electron : $3n_{Fe} + 2n_{Mg} + 3n_{Al} = 2n_{SO_2}$
$\Rightarrow 3a + 2b + 3c = 0,61.2(3)$

Từ (1)(2)(3) suy ra a = 0,12 ; b = 0,28 ; c = 0,1

$m_{Fe} = m_{Mg} = 0,12.56 = 6,72(gam)$

$m_{Al} = 0,1.27 = 2,7(gam)$