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 :
\(\left\{{}\begin{matrix}3x+2y=1,2\left(bt-e\right)\\133,5x+95y=55,2\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=0,2\left(mol\right)\\y=0,3\left(mol\right)\end{matrix}\right.\)
\(\left\{{}\begin{matrix}\%mAl=\dfrac{0,2.27}{0,2.27+0,3.24}=42,85\%\\\%mMg=100\%-42,85\%=57,15\%\end{matrix}\right.\)