Mg+2HCl->MgCl2+H2

x------2x--------x---------x

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

y---------3y-----y--------3\2y

ta có :

\(\left\{{}\begin{matrix}24x+27y=11,7\\x+\dfrac{3}{2}y=0,6\end{matrix}\right.\)

=>x=0,15 mol, y=0,3 mol

=>%mMg=\(\dfrac{0,15.24}{11,7}.100=30,77\%\)

=>%mAl=100-30,77=69,23%

b)

m HCl=1,2.36,5=43,8g

=>C%=\(\dfrac{43,8}{200}.100\)=21,9%

               nNO=23a+b=0,11

b)

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

a)

Gọi : \(\left\{{}\begin{matrix}n_{Al}=a\left(mol\right)\\n_{Fe}=b\left(mol\right)\end{matrix}\right.\)⇒ 27a + 56b = 1,66(1)

\(2Al + 6HCl \to 2AlCl_3 + 3H_2\\ Fe +2 HCl \to FeCl_2 + H_2\)

Theo PTHH :

\(n_{H_2} = 1,5a + b = \dfrac{1,12}{22,4} = 0,05(2)\)

Từ (1)(2) suy ra a = 0,02 ; b = 0,02

Vậy :

\(\%m_{Al} = \dfrac{0,02.27}{1,66}.100\% = 32,53\%\\ \%m_{Fe} = 100\% - 32,53\% = 67,47\%\)

a)

\(n_{HCl} = 2n_{H_2} = 0,05.2 = 0,1(mol)\\ \Rightarrow C\%_{HCl} = \dfrac{0,1.36,5}{100}.100\% = 3,65\%\)

Gọi \(\left\{{}\begin{matrix}n_{Al}=x\left(mol\right)\\n_{Fe}=y\left(mol\right)\end{matrix}\right.\)

\(n_{H_2}=\dfrac{4,48}{22,4}=0,2mol\)

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

\(Fe+2HCl\rightarrow FeCl_2+H_2\)

Theo pt: \(\Rightarrow\left\{{}\begin{matrix}3x+y=0,2\\27x+56y=5,5\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=\dfrac{19}{470}\\y=\dfrac{37}{470}\end{matrix}\right.\)

\(\%m_{Al}=\dfrac{\dfrac{19}{470}\cdot27}{5,5}\cdot100\%=19,84\%\)

\(\%m_{Fe}=100\%-19,84\%=80,16\%\)

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 :

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

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

Bài 2 : 

a)

$Mg + 2HCl \to MgCl_2 + H_2$
$2Al + 6HCl \to 2AlCl_3 + 3H_2$
$n_{H_2} = \dfrac{5,6}{22,4} = 0,25(mol)$
$n_{HCl} = 2n_{H_2} = 0,5(mol)$
$m_{HCl} = 0,5.36,5 = 18,25(gam)$

b)

Bảo toàn khối lượng : 

$m_A = 22,85 + 0,25.2 - 18,25 = 5,1(gam)$