Đặt : 

nK = a (mol) 

nNa = b (mol) 

=> 39a + 23b = 7.7 (1) 

nH2 = 3.36/22.4 = 0.15 (mol) 

K + H2O => KOH + 1/2H2 

Na + H2O => NaOH + 1/2H2 

nH2 = 0.5a + 0.5b = 0.15 (mol) (2) 

(1) , (2): 

a = 0.05

b = 0.25 

%K = 0.05*39/7.7 * 100% = 25.32%

%Na = 74.68% 

a, \(2Na+2H_2O\rightarrow2NaOH+H_2\)

 \(2K+2H_2O\rightarrow2KOH+H_2\)

b, Ta có: \(n_K=\dfrac{3,9}{39}=0,1\left(mol\right)\)

Theo PT: \(n_{H_2}=\dfrac{1}{2}n_{Na}+\dfrac{1}{2}n_K=\dfrac{2,24}{22,4}=0,1\left(mol\right)\)

\(\Rightarrow n_{Na}=0,1\left(mol\right)\)

\(\Rightarrow\left\{{}\begin{matrix}\%m_{Na}=\dfrac{0,1.23}{0,1.23+3,9}.100\%\approx37,1\%\\\%m_K\approx62,9\%\end{matrix}\right.\)

\(\left\{{}\begin{matrix}n_{Cu}\\n_{Fe}\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}64x+56y=24,4\\2x+3y=\dfrac{6,72}{22,4}.3\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=0,285\\y=0,11\end{matrix}\right.\)

\(\left\{{}\begin{matrix}\%m_{Cu}=74,75\%\\\%m_{Fe}=25,25\%\end{matrix}\right.\)

\(1)n_{H_2}=\dfrac{3,36}{22,4}=0,15(mol)\\ Mg+2HCl\to MgCl_2+H_2\\ Fe+2HCl\to FeCl_2+H_2\)

Từ giả thiết và theo PT: 

\(\begin{cases} 24n_{Mg}+56n_{Fe}=5,2\\ n_{Mg}+n_{Fe}=0,15 \end{cases}\\ \Rightarrow n_{Mg}=0,1(mol);n_{Fe}=0,05(mol)\)

\(\Rightarrow \begin{cases} \%m_{Mg}=\dfrac{0,1.24}{5,2}.100\%=46,15\%\\ \%m_{Fe}=100-46,15=53,85\% \end{cases}\\ 2)\Sigma n_{HCl}=2n_{H_2}=0,3(mol)\\ \Rightarrow V_{dd_{HCl}}=\dfrac{0,3}{1}=0,3(l)=300(ml)\)

Đáp án D

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

a)

\(n_{H_2} = \dfrac{3,36}{22,4} = 0,15(mol)\\ n_{Mg} = a\ mol; n_{Fe} = b\ mol\\ Mg + 2HCl \to MgCl_2 + H_2\\ Fe + 2HCl \to FeCl_2 + H_2 \)

Theo PTHH, ta có: 

\(\left\{{}\begin{matrix}24a+56b=5,2\\a+b=0,15\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}a=0,1\\b=0,05\end{matrix}\right.\)

Suy ra: 

\(\%m_{Mg} = \dfrac{0,1.24}{5,2}.100\% = 46,15\%\\ \%m_{Fe} = 100\% - 46,15\% = 53,85\% \)

b)

\(n_{HCl} = 2n_{H_2} = 0,15.2 = 0,3(mol)\\ \Rightarrow V_{dd\ HCl} = \dfrac{0,3}{1} = 0,3(lít) \)

Đặt : 

nMg = a mol 

nFe= b mol 

mhh = 24a + 56b = 5.2 (g) (1) 

Mg + 2HCl => MgCl2 + H2

Fe + 2HCl => FeCl2 + H2 

nH2 = a + b = 0.15 (2) 

(1) , (2) 

a = 0.1

b = 0.05

%Mg = 2.4/5.2 * 100% = 46.15%

%Fe = 100 - 46.15 = 53.85%

nHCl = 2a + 2b = 0.05 * 2 + 0.1*2 = 0.3 (mol) 

VddHCl = 0.3/1=0.3 (l) 

PTHH: \(Fe+2HCl\rightarrow FeCl_2+H_2\uparrow\)  (1)

            \(Mg+2HCl\rightarrow MgCl_2+H_2\uparrow\)  (2)

a) Ta có: \(\Sigma n_{H_2}=\dfrac{3,36}{22,4}=0,15\left(mol\right)\)

Gọi số mol của Fe là \(a\) \(\Rightarrow n_{H_2\left(1\right)}=a\)

Gọi số mol của Mg là b \(\Rightarrow n_{H_2\left(2\right)}=b\)

Ta lập được hệ phương trình:

\(\left\{{}\begin{matrix}56a+24b=5,2\\a+b=0,15\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}a=0,05\\b=0,1\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}m_{Fe}=0,05\cdot56=2,8\left(g\right)\\m_{Mg}=0,1\cdot24=2,4\left(g\right)\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}\%m_{Fe}=\dfrac{2,8}{5,2}\cdot100\%\approx53,85\%\\\%m_{Mg}=46,15\%\end{matrix}\right.\)

b) Theo các PTHH: \(\left\{{}\begin{matrix}n_{HCl\left(1\right)}=2n_{Fe}=0,1mol\\n_{HCl\left(2\right)}=2n_{Mg}=0,2mol\end{matrix}\right.\)

\(\Rightarrow\Sigma n_{HCl}=0,3mol\) \(\Rightarrow V_{HCl}=\dfrac{0,3}{1}=0,3\left(l\right)=300\left(ml\right)\)

\(n_{H_2}=\dfrac{3,36}{22,4}=0,15\left(mol\right)\)

PTHH: Fe + 2HCl --> FeCl₂ + H₂

_____0,15<--------------------0,15

=> m_Fe = 0,15.56 = 8,4(g)

=> \(\left\{{}\begin{matrix}\%Fe=\dfrac{8,4}{24,4}.100\%=34,426\%\\\%Fe_2O_3=100\%-34,426\%=65,574\%\end{matrix}\right.\)