\(a.2Al+6HCl->2AlCl_3+3H_2\\ Mg+2HCl->MgCl_2+H_2\\ b.n_{Al}=a,n_{Mg}=b\\ 27a+24b=7,5\left(I\right)\\ 1,5a+b=\dfrac{7,84}{22,4}=0,35\left(II\right)\\ a=0,1;b=0,2\\ \%m_{Al}=\dfrac{27\cdot0,1}{7,5}\cdot100\%=36\%\\ \%m_{Mg}=64\%\\ c.m_{HCl}=36,5\left(0,1\cdot3+0,2\cdot2\right)=18,25g\\ d.m_{ddsau}=7,5+\dfrac{18,25}{14,6:100}-0,35\cdot2=131,8g\\ C\%\left(AlCl_3\right)=\dfrac{133,5\cdot0,1}{131,8}\cdot100\%=10,1\%\\ C\%\left(MgCl_2\right)=\dfrac{95\cdot0,2}{131,8}\cdot100\%=14,4\%\)

a) Mg + 2HCl -> MgCl2 + H2
Al + 3HCl -> AlCl3 + 3/2H2

b) Gọi a, b lần lượt là số mol Mg, Al.

nH2 = 5,6/22,4 = 0,25 (mol)

Mg + 2HCl -> MgCl2 + H2

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

b           3b       b          3/2b

Ta có hệ pt: 

mhh = 24a + 27b = 5,1 (g)

nH2 = a + 3/2b = 0,25 (mol)

=> a = 0,1 (mol)

b = 0,1 (mol)

200 ml = 0,2 l

nHCl = 2a + 3b = 0,2 + 0,3 = 0,5 (mol)

=> CM ddHCl = 0,5/0,2 = 2,5 (M)

%mMg = 24a/5,1*100% = 2,4/5,1*100% = 47,06%

%mAl = 100%-47,06% = 52,94%

\(a)\\ Zn + 2HCl \to ZnCl_2 + H_2\\ 2Al + 6HCl \to 2AlCl_3 + 3H_2\)

\(b)\ n_{Zn} = a\ mol\ ;\ n_{Al} = b\ mol\\ \Rightarrow65a + 27b = 6,6(1)\\ n_{H_2} = a + 1,5b = \dfrac{4,704}{22,4} = 0,21(2)\\ (1)(2)\Rightarrow a = 0,06 ; b = 0,1\\ \Rightarrow m_{Zn} = 0,06.65 = 3,9\ gam\ ;\ m_{Al} = 0,1.27 = 2,7\ gam\)

\(n_{Zn}=a\left(mol\right),n_{Al}=b\left(mol\right)\)

\(m_X=65a+27b=6.6\left(g\right)\left(1\right)\)

\(n_{H_2}=\dfrac{4.704}{22.4}=0.21\left(mol\right)\)

\(Zn+2HCl\rightarrow ZnCl_2+H_2\)

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

\(\Rightarrow a+1.5b=0.21\left(2\right)\)

\(\left(1\right),\left(2\right):\)

\(a=0.06\)

\(b=0.1\)

\(m_{Zn}=0.06\cdot65=3.9\left(g\right)\)

\(m_{Al}=0.1\cdot27=2.7\left(g\right)\)

Đáp án cần chọn là: D

\(\left\{{}\begin{matrix}n_{Mg}=a\left(mol\right)\\n_{Al}=b\left(mol\right)\\n_{Fe}=c\left(mol\right)\end{matrix}\right.\)⇒ 24a + 27b + 56c = 26,05(1)

\(Mg + 2HCl \to MgCl_2 + H_2\\ 2Al +6HCl \to 2AlCl_3 + 3H_2\\ Fe + 2HCl \to FeCl_2 + H_2\\ n_{H_2} = a + 1,5b + c = \dfrac{13,44}{22,4} = 0,6(2)\)

\(Mg + Cl_2 \xrightarrow{t^o} MgCl_2\\ 2Al + 3Cl_2 \xrightarrow{t^o} 2AlCl_3\\ 2Fe + 3Cl_2 \xrightarrow{t^o} 2FeCl_3\\ n_{Cl_2} = a + 1,5b + 1,5c = \dfrac{17,36}{22,4} = 0,775(3)\)

Từ (1)(2)(3) suy ra:  a = 0,325 ; b = -0,05 ; c = 0,35

→ Sai đề.

a, \(Mg+2HCl\rightarrow MgCl_2+H_2\)

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

b, 24n_Mg + 27n_Al = 6,12 (1)

Theo PT: \(n_{H_2}=n_{Mg}+\dfrac{3}{2}n_{Al}=\dfrac{6,72}{22,4}=0,3\left(mol\right)\left(2\right)\)

Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}n_{Mg}=0,12\left(mol\right)\\n_{Al}=0,12\left(mol\right)\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}\%m_{Mg}=\dfrac{0,12.24}{6,12}.100\%\approx47,06\%\\\%m_{Al}\approx52,94\%\end{matrix}\right.\)

a. PTHH : Mg + 2HCl ➝ MgCl₂ + H₂ (1)

b. theo bài : nH₂ = 3,36 : 22,4 = 0,15 (mol)

theo (1) nMg = nH₂ = 0,15 (mol)

➞ mMg = 0,15 ✖ 24 = 3,6 (g)

➞ %mMg = (3,6 : 5)✖100 = 72%

➞ %mCu = 100% - 72% = 28%

c. theo (1) nHCl = 2nH₂ = 2✖0,15 = 0,3 (mol)

mHCl = 0,3✖36,5 = 10,95(g)

➜mddHCl = (10,95✖100):14,6 = 75(g)

d. dung dịch Y : MgCl₂

mdd_(spư)= 3,6+75-0,3 = 78,3(g)

theo (1) nMgCl₂ = nH₂ = 0,15(mol)

mMgCl₂ = 0,15✖95 = 14,25(g)

C%MgCl₂ = (14,25 : 78,3)✖100 = 18,199%

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