\(a)n_{Mg} = a ; n_{Al} = b \Rightarrow 24a +27b = 5,1(1)\\ Mg + 2HCl \to MgCl_2 + H_2\\ 2Al + 6HCl \to 2AlCl_3 + 3H_2\\ n_{H_2} = a + 1,5b = \dfrac{5,6}{22,4} = 0,25(2)\\ (1)(2) \Rightarrow a = 0,1 ; b = 0,1\\ \%m_{Mg} = \dfrac{0,1.24}{5,1}.100\% = 44,44\%\ ;\ \%m_{Al} = 100\% -44,44\% = 55,56\%\\ b) n_{MgCl_2} = n_{Mg} = 0,1 \Rightarrow m_{MgCl_2} = 0,1.95 = 9,5(gam)\\ n_{AlCl_3} = n_{Al} = 0,1 \Rightarrow m_{AlCl_3} = 0,1.133,5 = 13,35(gam)\\ c)n_{HCl} = 2n_{Mg} + 3n_{Al} = 0,5(mol) \Rightarrow m_{dd\ HCl} = \dfrac{0,5.36,5}{3,65\%} = 500(gam)\)

\(m_{dd\ sau\ pư} = 5,1 + 500 - 0,25.2 = 504,6(gam)\\ C\%_{MgCl_2} = \dfrac{9,5}{504,6}.100\% = 1,89\%\\ C\%_{AlCl_3} = \dfrac{13,35}{504,6}.100\% = 2,65\%\)

a/ Gọi số mol Al, Mg trong hỗn hợp là a, b

PTHH:

2Al + 6HCl ===> 2AlCl₃ + 3H₂

a............................................1,5a

Mg + 2HCl ===> MgCl₂ + H₂

b.........................................b

n_H2 = 5,6 / 22,4 = 0,25 (mol)

The đề ra, ta có hệ phương trình:

\(\begin{cases}27a+24b=5,1\\1,5a+b=0,25\end{cases}\)=> \(\begin{cases}a=0,1\\b=0,1\end{cases}\)

=> m_Al = 0,1 x 27 = 2,7 gam

m_Mg = 0,1 x 24 = 2,4 gam

=> %m_Al = \(\frac{2,7}{5,1}.100\%=52,94\%\)

%m_Mg = 100% - 52,94% = 46,06%

b/ Tổng số mol của HCl = 0,3 + 0,2 = 0,5 mol

=> m_HCl = 0,5 x 36,5 = 18,25 gam

c/ Áp dụng định luật bảo toàn khối lượng, ta có
m_{hỗn hợp muối} = m_{kim loại} + m_HCl - m_H2

₌ 5,1 + 18,25 - 0,25 x 2 = 22,85 gam

a, \(n_{Al}=\dfrac{2,7}{27}=0,1\left(mol\right)\)

 \(m_{HCl}=109,5.10\%=10,95\left(g\right)\Rightarrow n_{HCl}=\dfrac{10,95}{36,5}=0,3\left(mol\right)\)

PTHH: 2Al + 6HCl → 2AlCl₃ + 3H₂

Mol:      0,1      0,3         0,1       0,15

Ta có: \(\dfrac{0,1}{2}=\dfrac{0,3}{6}\) ⇒ Al hết, HCl hết

\(V_{H_2}=0,15.22,4=3,36\left(l\right)\)

b, \(m_{AlCl_3}=0,1.133,5=13,35\left(g\right)\)

c, m_{dd sau pứ} = 2,7 + 109,5 - 0,15.2 = 111,9 (g)

\(C\%_{ddAlCl_3}=\dfrac{13,35.100\%}{111,9}=11,93\%\)

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

Ta có: \(\left\{{}\begin{matrix}n_{Al}=\dfrac{2,7}{27}=0,1\left(mol\right)\\n_{HCl}=\dfrac{109,5\cdot10\%}{36,5}=0,3\left(mol\right)\end{matrix}\right.\)

Xét tỉ lệ: \(\dfrac{0,1}{2}=\dfrac{0,3}{6}\) \(\Rightarrow\) Al và HCl đều p/ứ hết

\(\Rightarrow\left\{{}\begin{matrix}n_{AlCl_3}=0,1\left(mol\right)\\n_{H_2}=0,15\left(mol\right)\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}m_{AlCl_3}=0,1\cdot133,5=13,35\left(g\right)\\V_{H_2}=0,15\cdot22,4=3,36\left(l\right)\\m_{H_2}=0,15\cdot2=0,3\left(g\right)\end{matrix}\right.\)

Mặt khác: \(m_{dd}=m_{Al}+m_{ddHCl}-m_{H_2}=111,9\left(g\right)\)

\(\Rightarrow C\%_{AlCl_3}=\dfrac{13,35}{111,9}\cdot100\%\approx11,93\%\)

2Al+6HCl-->2AlCl₃+3H₂

0,3----0,9---------0,3------0,45

=>n _Al=8,1\17=0,3 mol

=>V_H2=0,45.22,4=10,08l

=>m _HCl=0,9.26,5=32,85g

=>m_AlCl3=0,3.133,5=40,05g

C2 :Bảo Toàn khối lượng 

=>m _AlCl3=40,05g

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

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

\(\left(mol\right)\)       \(0,2\)     \(0,6\)         \(0,2\)           \(0,3\)

\(a.m=0,2.27=5,4\left(g\right)\\ a=\dfrac{36,5.0,6.100}{7,3}=300\left(g\right)\\ b.\)

\(AlCl_3-\) Nhôm clorua

\(m_{AlCl_3}=0,2.133,5=26,7\left(g\right)\\ c.m_{H_2}=0,3.2=0,6\left(g\right)\)

\(n_{H_2}=\dfrac{6.72}{22.4}=0.3\left(mol\right)\)

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

\(0.2........0.6..........0.2.............0.3\)

\(m_{Al}=0.2\cdot27=5.4\left(g\right)\)

\(m_{HCl}=0.6\cdot36.5=21.9\left(g\right)\)

\(\Rightarrow m_{dd_{HCl}}=\dfrac{21.9}{7.3\%}=300\left(g\right)\)

\(m_{AlCl_3}=0.2\cdot133.5=26.7\left(g\right)\)

( Nhôm clorua ) 

\(m_{H_2}=0.3\cdot2=0.6\left(g\right)\)

nAl = \(\frac{4,05}{27}=0,15mol\)

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

0,15 0,45 0,15 0,225 (mol)

a) nHCl = 0,45 mol

=> mHCl = 0,45 . 36,5 = 16,425 g

b) nAlCl3 = 0,15 mol

=> mAlCl3 = 0,15 . 133,5 = 20,025 g

c) nH2 = 0,225 mol

=> mH2 = 0,225 . 2 = 0,45 g

=> V_H2 = 0,225 . 22,4 = 5,04 lit

\(n_{Zn} = a(mol) ; n_{Al} = b(mol) ; n_{Mg} = c(mol)\\ \Rightarrow 65a + 27b + 24c = 44,1(1)\\ Zn + 2HCl \to ZnCl_2 + H_2\\ 2Al + 6HCl \to 2AlCl_3 + 3 H_2\\ Mg + 2HCl \to MgCl_2 + H_2\\ n_{H_2} = a + 1,5b + c = \dfrac{31,36}{22,4} = 1,4(2)\\ Mà : 2a = 3b(3)\\ (1)(2)(3) \Rightarrow a = 0,3 ; b = 0,2 ; c = 0,8\\ \%m_{Zn} = \dfrac{0,3.65}{44,1}.100\% = 44,22\%\\ \%m_{Al} = \dfrac{0,2.27}{44,1}.100\% = 12,24\%\)

\(\%m_{Mg} = 100\% -44,22\% -12,24\% = 43,54\%\)

B nha

a. 2Al + 6HCl -> 2AlCl₃ + 3H₂

b. n_Al = \(\dfrac{8.1}{27}=0,3\left(mol\right)\)=> \(n_{H_2}=\dfrac{3}{2}.0,3=0,45\left(mol\right)\)

\(V_{H_2}=0,45.22,4=10,08\left(mol\right)\)

c. \(n_{HCl}=3n_{Al}=3.0,3=0,9\left(mol\right)=>m_{HCl}=0,9.36,5=32,85\left(g\right)\)

Vậy m = 32,85

\(n_{HCl}=\dfrac{150.7,3\%}{36,5}=0,3\left(mol\right)\\ 2Al+6HCl\rightarrow2AlCl_3+3H_2\uparrow\\ a,n_{Al}=n_{AlCl_3}=\dfrac{2}{6}.0,3=0,1\left(mol\right)\\ \Rightarrow m_{Al}=0,1.27=2,7\left(g\right)\\ b,m_{AlCl_3}=0,1.133,5=13,35\left(g\right)\\ c,n_{H_2}=\dfrac{3}{6}.0,3=0,15\left(mol\right)\\ \Rightarrow V_{H_2\left(đktc\right)}=0,15.22,4=3,36\left(l\right)\)

nHCl=150.7,3%36,5=0,3(mol)2Al+6HCl→2AlCl3+3H2↑a,nAl=nAlCl3=26.0,3=0,1(mol)⇒mAl=0,1.27=2,7(g)b,mAlCl3=0,1.133,5=13,35(g)c,nH2=