Đặt \(\left\{{}\begin{matrix}n_{Mg}=a\left(mol\right)\\n_{Fe}=b\left(mol\right)\\n_{Zn}=c\left(mol\right)\\n_{Al}=d\left(mol\right)\end{matrix}\right.\) \(\Rightarrow95a+127b+136c+133,5d=40,45\) (1)
Sau p/ứ với Clo, ta được: \(95a+162,5b+136c+133,5d=44\) (2)
Lấy PT (2) trừ PT (1) \(\Rightarrow35,5b=3,55\) \(\Rightarrow b=n_{Fe}=0,1\left(mol\right)\)
\(\Rightarrow\%m_{Fe}=\dfrac{0,1\cdot56}{13,47}\cdot100\%\approx41,57\%\)