a, Ta có: 27n_Al + 56n_Fe = 27,8 (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: \(n_{H_2}=\dfrac{3}{2}n_{Al}+n_{Fe}=\dfrac{17,353}{24,79}=0,7\left(mol\right)\left(2\right)\)

Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}n_{Al}=0,2\left(mol\right)\\n_{Fe}=0,4\left(mol\right)\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}\%m_{Al}=\dfrac{0,2.27}{27,8}.100\%\approx19,42\%\\\%m_{Fe}\approx80,58\%\end{matrix}\right.\)

b, \(n_{H_2SO_4}=n_{H_2}=0,7\left(mol\right)\Rightarrow C_{M_{H_2SO_4}}=\dfrac{0,7}{0,5}=1,4\left(M\right)\)

a) Gọi số mol Al, Zn là a, b (mol)

=> 27a + 65b = 11,9 (1)

\(n_{H_2}=\dfrac{8,96}{22,4}=0,4\left(mol\right)\)

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

             a----->1,5a----------------->1,5a

            Zn + H₂SO₄ --> ZnSO₄ + H₂

             b------>b------------------>b

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

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

\(\left\{{}\begin{matrix}\%m_{Al}=\dfrac{0,2.27}{11,9}.100\%=45,378\%\\\%m_{Zn}=\dfrac{0,1.65}{11,9}.100\%=54,622\%\end{matrix}\right.\)

b) n_H2SO4 = 1,5a + b = 0,4 (mol)

=> m_H2SO4 = 0,4.98 = 39,2 (g)

=> \(C\%_{dd.H_2SO_4}=\dfrac{39,2}{150}.100\%=26,133\%\)

Đáp án C.

Kim loại không phản ứng với H₂SO₄ loãng là Cu.

Gọi n_Cu = x, n_Mg = y, n_Al = z

Ta có:

64x + 24y + 27z = 33,2 (1)

Bảo toàn e:

2n_Mg + 3n_Al = 2n_H2  

=> 2y + 3z = 2.1 (2)

2n_Cu = 2n_SO2  =>  x = 0.2 (mol) (3)

Từ 1, 2, 3 => x = 0,2; y = z = 0,4 (mol)

m_Cu = 0,2.64 = 12,8 (g)

m_Mg = 0,4.24 = 9,6 (g)

m_Al = 10,8 (g)

a, Ta có: 27n_Al + 56n_Fe = 22 (1)

PT: \(2Al+6HCl\rightarrow2AlCl_3+3H_2\)

\(Fe+2HCl\rightarrow FeCl_2+H_2\)

Theo PT: \(n_{H_2}=\dfrac{3}{2}n_{Al}+n_{Fe}=\dfrac{19,832}{24,79}=0,8\left(mol\right)\left(2\right)\)

Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}m_{Al}=0,4\left(mol\right)\\n_{Fe}=0,2\left(mol\right)\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}\%m_{Al}=\dfrac{0,4.27}{22}.100\%\approx49,09\%\\\%m_{Fe}\approx50,91\%\end{matrix}\right.\)

b, \(n_{HCl}=2n_{H_2}=1,6\left(mol\right)\)

\(\Rightarrow C_{M_{HCl}}=\dfrac{1,6}{0,5}=3,2\left(M\right)\)

\(n_{H_2}=\dfrac{3,36}{22,4}0,15(mol)\\ a,PTHH:Fe+H_2SO_4\to FeSO_4+H_2\\ b,n_{Fe}=n_{H_2}=0,15(mol)\\ \Rightarrow \%_{Fe}=\dfrac{0,15.56}{14,8}.100\%=56,76\%\\ \Rightarrow \%_{Cu}=100\%-56,76\%=43,24\%\\ c,n_{H_2SO_4}=0,15(mol)\\ \Rightarrow m_{dd_{H_2SO_4}}=\dfrac{0,15.98}{20\%}=73,5(g)\\ \Rightarrow V_{dd_{H_2SO_4}}=\dfrac{73,5}{1,4}=52,5(l)\)

n Al = a(mol) ; n Fe = b(mol)

=> 27a + 56b = 20,65(1)

2Al + 3H2SO4 → Al2(SO4)3 + 3H2

a...........1,5a............0,5a............1.5a..(mol)

Fe + H2SO4 → FeSO4 + H2

b...........b..............b............b......(mol)

=> n H2 = 1,5a + b = 0,725(2)

Từ 1,2 suy ra a = 0,35 ; b = 0,2

Suy ra :

%m Al = 0,35.27/20,65  .100% = 45,76%
%m Fe = 100% -45,76% = 54,24%

m H2SO4 = (1,5a + b).98 = 71,05 gam

m muối = m kim loại + m H2SO4 -m H2 = 20,65 + 71,05 -0,725.2 = 90,25 gam

Đặt \(n_{Fe}=x(mol);n_{Al}=y(mol)\Rightarrow 56x+27y=11(1)\)

\(n_{H_2}=\dfrac{8,96}{22,4}=0,4(mol)\\ PTHH:Fe+H_2SO_4\to FeSO_4+H_2\\ 2Al+3H_2SO_4\to Al_2(SO_4)_3+3H_2\\ \Rightarrow x+1,5y=0,4(2)\\ (1)(2)\Rightarrow x=0,1(mol);y=0,2(mol)\\ \Rightarrow \%_{Fe}=\dfrac{0,1.56}{11}.100\%=50,91\%\\ \Rightarrow \%_{Al}=100\%-50,91\%=49,09\%\)

\(n_{Fe}=\dfrac{0,224}{22,4}=0,01\left(mol\right)\)

Pt : \(Fe+2HCl\rightarrow FeCl_2+H_2|\)

       1          2             1           1

     0,01     0,02                     0,01

a) \(n_{Fe}=\dfrac{0,01.1}{1}=0,01\left(mol\right)\)

   \(m_{Fe}=0,01.56=0,56\left(g\right)\)

  \(m_{Cu}=1,2-0,56=0,64\left(g\right)\)

⁰/₀Fe = \(\dfrac{0,56.100}{1,2}=46,67\)⁰/₀

 ⁰/₀Cu = \(\dfrac{0,64.100}{1,2}=53,33\)⁰/₀

b) \(n_{HCl}=\dfrac{0,01.2}{1}=0,02\left(mol\right)\)

⇒ \(m_{HCl}=0,02.36,5=0,73\left(g\right)\)

\(C_{ddHCl}=\dfrac{0,73.100}{10}=7,3\)⁰/₀

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