Đặt \(\left\{{}\begin{matrix}n_{Fe}=a\left(mol\right)\\n_{Mg}=b\left(mol\right)\end{matrix}\right.\) \(\Rightarrow56a+24b=2,21\) (1)
Ta có: \(n_{SO_2}=\dfrac{4,32}{64}=0,0675\left(mol\right)\)
Bảo toàn electron: \(3a+2b=0,0675\cdot2=0,135\) (2)
Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}a=0,0295\\b=0,02325\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}\%m_{Fe}=\dfrac{0,0295\cdot56}{2,21}\cdot100\%\approx74,75\%\\\%m_{Mg}=25,25\%\end{matrix}\right.\)
Bảo toàn nguyên tố: \(\left\{{}\begin{matrix}n_{Fe_2\left(SO_4\right)_3}=\dfrac{1}{2}n_{Fe}=\dfrac{59}{4000}\left(mol\right)\\n_{MgSO_4}=n_{Mg}=0,02325\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow m_{muối}=m_{Fe_2\left(SO_4\right)_3}+m_{MgSO_4}=\dfrac{59}{4000}\cdot400+0,02325\cdot120=8,96\left(g\right)\)
