a) Đặt \(\left\{{}\begin{matrix}n_{Al}=a\left(mol\right)\\n_{Fe}=b\left(mol\right)\end{matrix}\right.\) \(\Rightarrow27a+56b=11\)  (1)

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

Bảo toàn electron: \(3a+2b=0,4\cdot2=0,8\)  (2)

Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}a=0,2\\b=0,1\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}\%m_{Al}=\dfrac{0,2\cdot27}{11}\cdot100\%\approx49,09\%\\\%m_{Fe}=50,91\%\end{matrix}\right.\)

b) Bảo toàn nguyên tố: \(\left\{{}\begin{matrix}n_{AlCl_3}=n_{Al}=0,2\left(mol\right)\\n_{FeCl_2}=n_{Fe}=0,1\left(mol\right)\end{matrix}\right.\)

\(\Rightarrow m_{muối}=m_{AlCl_3}+m_{FeCl_2}=0,2\cdot133,5+0,1\cdot127=39,4\left(g\right)\)

c) Bảo toàn electron: \(3\cdot0,2+3\cdot0,1=2n_{SO_2}\)

\(\Rightarrow n_{SO_2}=0,45\left(mol\right)\) \(\Rightarrow V_{SO_2}=0,45\cdot22,4=10,08\left(l\right)\)

a) Gọi nAl = x, nFe = y

Có 27x + 56y = 11 (1)

Bảo toàn e

3x + 2y = 2.0,4 (2)

Từ 1 và 2 => x = 0,2, y = 0,1

\(\%mAl=\dfrac{0,2.27}{11}.100\%=49,09\%\)

\(\%mFe=100-49,09=50,91\%\)

b) BTKL: 

m muối = mkim loại + mHCl - mH2

= 11 + 0,4.2.36,5 - 0,4.2 = 39,4g

c) 

Bảo toàn e

Al => Al⁺³ + 3e                                  S⁺⁶ + 2e => S⁺⁴

0,2               0,6                                             2x          x

Fe => Fe⁺³ + 3e

0,1                  0,3

=> 2x = 0,6 + 0,3 => x = 0,45 mol

=> VSO₂ = 0,45.22,4 = 10,08 lít

\(m_{không.tan}=m_{Cu}=2\left(g\right)\\ \Rightarrow m_{Al,Fe}=10,3-2=8,3\left(g\right)\\ Đặt:a=n_{Al}\left(mol\right);b=n_{Fe}\left(mol\right)\left(a,b>0\right)\\ PTHH:2Al+6HCl\rightarrow2AlCl_3+3H_2\\ Fe+2HCl\rightarrow FeCl_2+H_2\\ \Rightarrow\left\{{}\begin{matrix}27a+56b=8,3\\1,5.22,4a+22,4b=5,6\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,1\\b=0,1\end{matrix}\right.\\ \Rightarrow\%m_{Cu}=\dfrac{2}{10,3}.100\approx19,417\%\\ \%m_{Fe}=\dfrac{56.0,1}{10,3}.100\approx54,369\%\\ \Rightarrow\%m_{Al}\approx26,214\%\)

Rắn không tan là Cu

=> m_Cu = 1,86 (g)

Gọi số mol Fe, Al là a, b (mol)

=> 56a + 27b = 6 - 1,86 = 4,14 (1)

\(n_{H_2}=\dfrac{3,024}{22,4}=0,135\left(mol\right)\)

PTHH: Fe + 2HCl --> FeCl₂ + H₂

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

            2Al + 6HCl --> 2AlCl₃ + 3H₂

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

=> a + 1,5b = 0,135 (2)

(1)(2) => a = 0,045 (mol); b = 0,06 (mol)

\(\left\{{}\begin{matrix}\%m_{Cu}=\dfrac{1,86}{6}.100\%=31\%\\\%m_{Fe}=\dfrac{0,045.56}{6}.100\%=42\%\\\%m_{Al}=\dfrac{0,06.27}{6}.100\%=27\%\end{matrix}\right.\)

\(n_{H_2}=\dfrac{0,784}{22,4}=0,035\left(mol\right)\\ Đặt:n_{Al}=a\left(mol\right);n_{Fe}=b\left(mol\right)\left(a,b>0\right)\\ PTHH:2Al+6HCl\rightarrow2AlCl_3+3H_2\\ Fe+2HCl\rightarrow FeCl_2+H_2\\ \Rightarrow\left\{{}\begin{matrix}27a+56b=1,39\\1,5a+b=0,035\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,01\\b=0,02\end{matrix}\right.\\ \Rightarrow\%m_{Al}=\dfrac{0,01.27}{1,39}.100=37,53\%\\ \Rightarrow\%m_{Fe}=100\%-37,53\%=62,47\%\)

m_Cu = 1,92 (g)

Gọi số mol Fe, Al là a, b

=> 56a + 27b = 10,22 - 1,92 = 8,3 (g)

PTHH: Fe + 2HCl --> FeCl₂ + H₂

_____a------------------------->a

2Al + 6HCl --> 2AlCl₃ + 3H₂

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

=> a + 1,5b = \(\dfrac{5,6}{22,4}=0,25\left(mol\right)\)

=> a = 0,1; b = 0,1

=> \(\left\{{}\begin{matrix}\%Cu=\dfrac{1,92}{10,22}.100\%=18,79\%\\\%Fe=\dfrac{0,1.56}{10,22}.100\%=54,79\%\\\%Al=\dfrac{0,1.27}{10,22}.100\%=26,42\%\end{matrix}\right.\)

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

Theo bài ra, ta có: \(\dfrac{1}{2}\Sigma m_{Cu}=3,2\left(g\right)\) \(\Rightarrow m_{Cu}=6,4\left(g\right)\)

\(\Rightarrow\%m_{Cu}=\dfrac{6,4}{17,2}\cdot100\%\approx37,21\%\) \(\Rightarrow\%m_{Al}=62,79\%\)

Theo PTHH: \(n_{H_2}=\dfrac{3}{2}n_{Al}=\dfrac{3}{2}\cdot\dfrac{\dfrac{17,2-6,4}{2}}{27}=0,3\left(mol\right)\)

\(\Rightarrow V_{H_2}=0,3\cdot22,4=6,72\left(l\right)\)

m(Zn,Mg)=25-6,5= 18,5(g)

nHCl(p.ứ)= 0,8.2 : 125%= 1,28(mol)

PTHH: Zn + 2 HCl -> ZnCl2 + H2

x__________2x_____x____x(mol)

Mg +  2 HCl -> MgCl2 + H2

y______2y____y_____y(mol)

Ta có hpt:

\(\left\{{}\begin{matrix}65x+24y=18,5\\2x+2y=1,28\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=\dfrac{157}{2050}\\y=\dfrac{231}{410}\end{matrix}\right.\)

=> 

\(\%mAg=\dfrac{6,5}{25}.100=26\%\\ \%mZn=\dfrac{\dfrac{157}{2050}.65}{25}.100\approx19,912\%\\ \rightarrow\%mMg\approx54,088\%\)

Bài 1:

a+b) PTHH: \(Fe+H_2SO_4\rightarrow FeSO_4+H_2\uparrow\)

Ta có: \(n_{H_2}=\dfrac{4,48}{22,4}=0,2\left(mol\right)=n_{Fe}\)

\(\Rightarrow m_{Fe}=0,2\cdot56=11,2\left(g\right)\) \(\Rightarrow m_{Cu}=6,4\left(g\right)\)

\(\Rightarrow\left\{{}\begin{matrix}\%m_{Fe}=\dfrac{11,2}{17,6}\cdot100\%\approx63,64\%\\\%m_{Cu}=36,36\%\end{matrix}\right.\)

c) Ta có: \(n_{Cu}=\dfrac{6,4}{64}=0,1\left(mol\right)\)

Bảo toàn nguyên tố: \(n_{Fe_2\left(SO_4\right)_3}=\dfrac{1}{2}n_{Fe}=0,1\left(mol\right)=n_{CuSO_4}\)

\(\Rightarrow m_{muối}=0,1\cdot400+0,1\cdot160=56\left(g\right)\)

Bài 2:

Quy đổi hh gồm Fe (a mol) và O (b mol)

\(\Rightarrow56a+16b=27,6\)  (1)

Ta có: \(n_{SO_2}=\dfrac{5,04}{22,4}=0,225\left(mol\right)\)

Bảo toàn electron: \(3n_{Fe}=2n_O+2n_{SO_2}\) \(\Rightarrow3a-2b=0,45\)  (2)

Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}a=0,39\\b=0,36\end{matrix}\right.\)

Bảo toàn nguyên tố: \(n_{Fe_2\left(SO_4\right)_3}=\dfrac{1}{2}n_{Fe}=0,195\left(mol\right)\) \(\Rightarrow m_{Fe_2\left(SO_4\right)_3}=0,195\cdot400=78\left(g\right)\)

Giả sử: \(\left\{{}\begin{matrix}n_{Mg}=x\left(mol\right)\\n_{Al}=y\left(mol\right)\end{matrix}\right.\)

⇒ 24x + 27y = 7,8 (1)

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

BT e, có: 2x + 3y = 0,8 (2)

Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}x=0,1\left(mol\right)\\y=0,2\left(mol\right)\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}m_{Mg}=0,1.24=2,4\left(g\right)\\m_{Al}=0,2.27=5,4\left(g\right)\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}\%m_{Mg}=\dfrac{2,4}{7,8}.100\%\approx30,77\%\\\%m_{Al}\approx69,23\%\end{matrix}\right.\)

b, BTNT Mg và Al, có:

n_MgCl2 = n_Mg = 0,1 (mol)

 n_AlCl3 = n_Al = 0,2 (mol)

\(\Rightarrow\left\{{}\begin{matrix}\%m_{MgCl_2}=\dfrac{0,1.95}{0,1.95+0,2.133,5}.100\%\approx26,24\%\\\%m_{AlCl_3}\approx73,76\%\end{matrix}\right.\)

Bạn tham khảo nhé!

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