Gọi số mol Al, Mg là a, b (mol)

\(n_{H_2}=\dfrac{13,44}{22,4}=0,6\left(mol\right)\)

PTHH: 2Al + 6HCl --> 2AlCl₃ + 3H₂

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

            Mg + 2HCl --> MgCl₂ + H₂

             b--------------->b---->b

=> \(\left\{{}\begin{matrix}1,5a+b=0,6\\133,5a+95b=55,2\end{matrix}\right.\)

=> a = 0,2 (mol); b = 0,3 (mol)

\(\left\{{}\begin{matrix}\%m_{Al}=\dfrac{0,2.27}{0,2.27+0,3.24}.100\%=42,857\%\\\%m_{Mg}=\dfrac{0,3.24}{0,2.27+0,3.24}.100\%=57,143\%\end{matrix}\right.\)

\(\left\{{}\begin{matrix}Al\\Mg\end{matrix}\right.+HCl->\left\{{}\begin{matrix}AlCl3\\MgCl2\end{matrix}\right.+H2\)

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

0,2      0,3                      0,3

Mg + 2HCl -> MgCl2 + H2

0,3      0,6                     0,3

=> mHCl dùng = 0,9 . 36,5 = 32,85 (g)

=> mH2 = 0,6 . 2 = 1,2 (g)

Bảo toàn khối lượng :

=> mX = 55,2 + 1,2 - 32,85 = 23,55 (g)

Ta có :

\(\left\{{}\begin{matrix}3x+2y=1,2\left(bt-e\right)\\133,5x+95y=55,2\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=0,2\left(mol\right)\\y=0,3\left(mol\right)\end{matrix}\right.\)

\(\left\{{}\begin{matrix}\%mAl=\dfrac{0,2.27}{0,2.27+0,3.24}=42,85\%\\\%mMg=100\%-42,85\%=57,15\%\end{matrix}\right.\)

a)\(n_{H_2}=\dfrac{5,6}{22,4}=0,25\left(mol\right)\)

PTHH: 2Al + 3H₂SO₄ → Al₂(SO₄)₃ + 3H₂

Mol:       x                                                     1,5x

PTHH: Mg + H₂SO₄ → MgSO₄ + H₂

Mol:      y                                                 y

Ta có: \(\left\{{}\begin{matrix}27x+24y=5,1\\1,5x+y=0,25\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=0,1\\y=0,1\end{matrix}\right.\)

\(\%m_{Al}=\dfrac{0,1.27.100\%}{5,1}=52,94\%;\%m_{Mg}=100-52,94=47,06\%\)

b) 

PTHH: 2Al + 3H₂SO₄ → Al₂(SO₄)₃ + 3H₂

Mol:      0,1      0,15                  0,05                            

PTHH: Mg + H₂SO₄ → MgSO₄ + H₂

Mol:     0,1       0,1                 0,1

\(m_{ddH_2SO_4}=\dfrac{\left(0,1+0,15\right).98.100}{9,8}=250\left(g\right)\)

m_{dd sau pứ} = 5,1+250-0,15.2 = 254,8(g)

\(C\%_{ddAl_2\left(SO_4\right)_3}=\dfrac{0,05.342.100\%}{254,8}=6,71\%\)

\(C\%_{ddMgSO_4}=\dfrac{0,1.120.100\%}{254,8}=4,71\%\)

Câu 1: 

\(n_{H_2}=\dfrac{2.91362}{22.4}=0.13mol\)

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

 a           a                a           a

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

 2b          3b               b                 3b

Ta có: \(\left\{{}\begin{matrix}24a+54b=2.58\\a+3b=0.13\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0.04\\b=0.03\end{matrix}\right.\)

\(m_{Mg}=0.04\times24=0.96g\)

\(m_{Al}=0.03\times2\times27=1.62g\)

\(V_{H_2SO_4}=\dfrac{0.04+3\times0.03}{0.5}=0.26l\)

Câu 2:

\(n_{H_2}=\dfrac{3.136}{22.4}=0.14mol\)

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

a            a              a             a

\(Fe+H_2SO_4\rightarrow FeSO_4+H_2\)

b           b                 b         b

Ta có: \(\left\{{}\begin{matrix}24a+56b=4.96\\a+b=0.14\end{matrix}\right.\)\(\Leftrightarrow\left\{{}\begin{matrix}a=0.09\\b=0.05\end{matrix}\right.\)

\(m_{Mg}=0.09\times24=2.16g\)

\(m_{Fe}=0.05\times56=2.8g\)

\(C\%_{H_2SO_4}=\dfrac{0.14\times98\times100}{200}=6.86\%\)

Câu 3: 

\(n_{H_2}=\dfrac{1.568}{22.4}=0.07mol\)

\(Ba+H_2SO_4\rightarrow BaSO_4+H_2\)

a           a              a             a

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

b          b                 b             b

Ta có: \(\left\{{}\begin{matrix}137a+24b=3.94\\a+b=0.07\end{matrix}\right.\)\(\Leftrightarrow\left\{{}\begin{matrix}a=0.02\\b=0.05\end{matrix}\right.\)

\(m_{Ba}=0.02\times137=2.74g\)

\(m_{Mg}=0.05\times24=1.2g\)

\(CM_{H_2SO_4}=\dfrac{0.07}{0.1}=0.7M\)

Gọi số mol Al, Fe là a, b (mol)

=> 27a + 56b = 11,1 (1)

\(n_{H_2}=\dfrac{6,72}{22,4}=0,3\left(mol\right)\)

PTHH: 2Al + 6HCl --> 2AlCl₃ + 3H₂

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

           Fe + 2HCl --> FeCl₂ + H₂

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

=> 1,5a + b = 0,3 (2)

(1)(2) => a = 0,1; b = 0,15

=> \(\left\{{}\begin{matrix}\%m_{Al}=\dfrac{0,1.27}{11,1}.100\%=24,32\%\\\%m_{Fe}=\dfrac{0,15.56}{11,1}.100\%=75,68\end{matrix}\right.\)

\(a.n_{H_2}=\dfrac{5,6}{22,4}=0,25\left(mol\right)\\ Đặt:\left\{{}\begin{matrix}n_{Al}=a\left(mol\right)\\n_{Mg}=b\left(mol\right)\end{matrix}\right.\left(a,b>0\right)\\ 2Al+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2\\ Mg+H_2SO_4\rightarrow MgSO_4+H_2\\ \rightarrow\left\{{}\begin{matrix}27a+24b=5,1\\1,5a+b=0,25\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,1\\b=0,1\end{matrix}\right.\\ \left\{{}\begin{matrix}\%m_{Al}=\dfrac{27.0,1}{5,1}.100\approx52,941\%\\\%m_{Mg}\approx47,059\%\end{matrix}\right.\)

\(b.m_{ddH_2SO_4}=\dfrac{0,25.98.100}{9,8}=250\left(g\right)\\ m_{ddsau}=m_{Al,Mg}+m_{ddH_2SO_4}-m_{H_2}=5,1+250-0,25.2=254,6\left(g\right)\\ C\%_{ddAl_2\left(SO_4\right)_3}=\dfrac{0,05.342}{254,6}.100\approx6,716\%\\ C\%_{ddMgSO_4}=\dfrac{0,1.120}{254,6}.100\approx4,713\%\)

\(a,n_{H_2}=\dfrac{2,576}{22,4}=0,115\left(mol\right)\\ Đặt:n_{Mg}=a\left(mol\right);n_{Al}=b\left(mol\right)\left(a,b>0\right)\\ Mg+2HCl\rightarrow MgCl_2+H_2\\ 2Al+6HCl\rightarrow2AlCl_3+3H_2\\ \Rightarrow\left\{{}\begin{matrix}95a+133,5b=10,475\\a+1,5b=0,115\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,04\\b=0,05\end{matrix}\right.\\ \%m_{Mg}=\dfrac{0,04.24}{0,04.24+0,05.27}.100\approx41,558\%\Rightarrow\%m_{Al}\approx58,442\%\\ b,n_{HCl}=2.n_{H_2}=2.0,115=0,23\left(mol\right)\\ \Rightarrow x=C\%_{ddHCl}=\dfrac{0,23.36,5}{100}.100=8,395\%\)

Chọn B.

Ta có: n H 2 = 2 , 464 22 , 4 = 0 , 11   m o l

Chỉ có phenol và axit axetic mới phản ứng được với K nên:

C 6 H 5 O H C H 3 C O O H → + K 1 2 H 2  

 22 mol       ←   0,11 mol

Khi cho X tác dụng với NaOH thì cả 3 chất đều tác dụng với NaOH theo tỉ lệ mol 1:1, nghĩa là:

n X = n N a O H = 0 , 3   m o l  

Theo sơ đồ trên ta thấy:

+ Đối với 2 chất đầu từ X đến Y chỉ thay 1 H bằng 1 Na nên khối lượng tăng: 22.0,22 gam.

+ Chất sau thay C₂H₅ bằng Na nên khối lượng giảm: (29 - 23).0,08 gam

=>m_Y - m_X = 22.0,22 - (29 - 23).0,08 = 4,36 gam