Gọi số mol Fe là x
số mol Mg là y
Số mol oxi là:
\(n_{O_2}=\dfrac{0,56}{22,4}=0,025\left(mol\right)\)
\(3Fe+2O_2\rightarrow Fe_3O_4\\ x.....\dfrac{2}{3}x\)
\(2Mg+O_2\rightarrow2MgO\\ y.....\dfrac{y}{2}\)
Ta có:
\(\left\{{}\begin{matrix}56x+24y=1,92\\\dfrac{2}{3}x+\dfrac{y}{2}=0,025\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}56x+24y=1,92\\84\left(\dfrac{2}{3}x+\dfrac{y}{2}\right)=2,1\end{matrix}\right.\\ \Leftrightarrow\left\{{}\begin{matrix}56x+24y=1,92\\56x+42y=2,1\end{matrix}\right.\Leftrightarrow18y=0.18\Leftrightarrow y=0,01\left(mol\right)\)
Khối lượng magie trong hỗn hợp là:
\(m_{Mg}=0,01.24=0,24\left(g\right)\)
\(\%m_{Mg}=\dfrac{0,24}{1,92}.100=12.5\%\Rightarrow\%m_{Fe}=87,5\%\)