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

Gọi x, y lần lượt là số mol Al, Fe

\(2Al+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2\\ Fe+H_2SO_4\rightarrow FeSO_4+H_2\\ n_{H_2}=\dfrac{0,56}{22,4}=0,025\left(mol\right)\\ Tacó:\left\{{}\begin{matrix}27x+56y=0,83\\1,5x+y=0,025\end{matrix}\right.\\ \Rightarrow\left\{{}\begin{matrix}x=0,01\\y=0,01\end{matrix}\right.\\ \Rightarrow\left\{{}\begin{matrix}m_{Al}=0,27\left(g\right)\\m_{Fe}=0,56\left(g\right)\end{matrix}\right.\)

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

`a)Fe + 2HCl -> FeCl_2 + H_2 \uparrow`

   `0,1`                                    `0,1`      `(mol)`

   `Cu + HCl -xx->`

`b)n_[H_2]=[2,479]/[22,4]=0,1 (mol)`

    `m_[Fe]=0,1.56=5,6(g)`

  `=>m_[Cu]=10-5,6=4,4(g)`

`c)%m_[Fe]=[5,6]/10 .100=56%`

    `%m_[Cu]=100-56=44%`

`d)` Dung dịch sau phản ứng có làm đổi màu quỳ tím. Vì: `HCl` dư nên sau phản ứng quỳ tím đổi màu đỏ.

Gọi x,y là số mol của AI và Fe

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

x --------------------... \(\frac{3x}{2}\)

Fe + H2SO4 -> FeSO4 + H2

y ----------------------> y

n H2 = 0,56 / 22,4 = 0,025 mol

Ta có hệ \(\begin{cases}27x+56y=0,83\\x+\frac{3x}{2}=0,025\end{cases}\)

\(\begin{cases}x=0,01mol\\y=0,01mol\end{cases}\)

=> m Al = 0,01 x 27 = 0,27 g
=> m Fe = 0,01 x 56 = 0,56 g

=> % Al = 0,27 / 0,83 x 100% = 32,53 %
=> % Fe = 0,56 / 0,83 x 100% = 67,47 %

PTHH: 

\(Zn+H_2SO_4--->ZnSO_4+H_2\)

\(Cu+H_2SO_4--\times-->\)

a. Ta có: \(n_{H_2}=\dfrac{2,24}{22,4}=0,1\left(mol\right)\)

Theo PT: \(n_{Zn}=n_{H_2}=0,1\left(mol\right)\)

\(\Rightarrow m_{Zn}=0,1.65=6,5\left(g\right)\)

\(\Rightarrow\%_{m_{Zn}}=\dfrac{6,5}{19,3}.100\%=33,7\%\)

\(\%_{m_{Cu}}=100\%-33,7\%=66,3\%\)

b. Theo PT: \(n_{H_2SO_4}=n_{Zn}=0,1\left(mol\right)\)

Đổi 200ml = 0,2 lít

\(\Rightarrow C_{M_{H_2SO_4}}=\dfrac{0,1}{0,2}=0,5M\)

c. Ta có: \(V_{dd_{ZnSO_4}}=V_{dd_{H_2SO_4}}=0,2\left(lít\right)\)

Theo PT: \(n_{ZnSO_4}=n_{Zn}=0,1\left(mol\right)\)

\(\Rightarrow C_{M_{ZnSO_4}}=\dfrac{0,1}{0,2}=0,5M\)

\(a) m_{Cu} = 9,6(gam)\\ n_{Al} = a(mol) ; n_{Fe} = b(mol)\\ \Rightarrow 27a + 56b = 16,55 -9,6 =6,95(1)\\ 2Al + 6HCl \to 2AlCl_3 + 3H_2\\ Fe + 2HCl \to FeCl_2 + H_2\\ n_{H_2} = 1,5a + b = \dfrac{3,92}{22,4} = 0,175(2)\\ (1)(2) \Rightarrow a = 0,05 ; b = 0,1\\ m_{Al} = 0,05.27 = 1,35(gam); n_{Fe} = 0,1.56 = 5,6(gam)\)

\(b) n_{HCl} = 2n_{H_2} = 0,175.2 = 0,35(mol) \Rightarrow m_{HCl} = 0,35.36,5 = 12,775(gam)\)

Bài 3 : 

a) $Mg + H_2SO_4 \to MgSO_4 + H_2$
$n_{Mg} = n_{H_2} = \dfrac{3,36}{22,4} = 0,15(mol)$
$\%m_{Mg} = \dfrac{0,15.24}{13,2}.100\% = 27,27\%$
$\%m_{Cu} = 100\% -27,27\% = 72,73\%$

b) $n_{Cu} = \dfrac{13,2 - 0,15.24}{64}= 0,15(mol)$

$\Rightarrow m_{muối} = 0,15.120 + 0,15.160= 42(gam)$

Bài 4 : 

Gọi $n_{Fe} = a(mol) ; n_{Mg} = b(mol)$
$56a + 24b = 18,4(1)$

$Fe + 2HCl \to FeCl_2 + H_2$
$Mg + 2HCl \to MgCl_2 + H_2$

Theo PTHH : $n_{H_2} = a + b = \dfrac{11,2}{22,4} = 0,5(2)$

Từ (1)(2) suy ra a = 0,2 ; b = 0,3

$\%m_{Fe} = \dfrac{0,2.56}{18,4}.100\%  = 60,87\%$

$\%m_{Mg} = 100\% -60,87\% = 39,13\%$

b) $n_{HCl} = 2n_{H_2} = 1(mol)$
$V_{dd\ HCl} = \dfrac{1}{0,8}=  1,25(lít)$

3a) \(Mg+H_2SO_4\rightarrow MgSO_4+H_2\)

\(n_{H_2}=n_{Mg}=0,15\left(mol\right)\)

=> \(\%m_{Mg}=\dfrac{0,15.24}{13,2}.100=27,28\%\)

\(\%m_{Cu}=100-27,28=72,73\%\)

b) \(n_{Cu}=\dfrac{13,2-3,6}{64}=0,15\left(mol\right)\)

Cu + 2H2SO4 → CuSO4 + SO2 + 2H2O

0,15------------------->0,15

Mg + 2H2SO4 → MgSO4 + SO2 + 2H2O

0,15------------------->0,15

\(m_{muối}=0,15.160+0,15.120=42\left(g\right)\)