Cách 1:
Gọi x (gam) là khối lượng của sắt
Ta có: mMg= 4,32 - x (g)
nên: nFe = \(\dfrac{x}{56}\left(mol\right)\)
và: nMg\(=\dfrac{4,32-x}{24}\left(mol\right)\)
Lại có: V\(O_2\)=1344 cm3 = 1,344 (l)
Suy ra: n\(O_2\)= \(\dfrac{1,344}{22,4}=0,06\left(mol\right)\)
PT: 3Fe + 2O2 \(\underrightarrow{t^o}\) Fe3O4
.......\(\dfrac{x}{56}\)\(\rightarrow\)\(\dfrac{x}{84}\)...................(mol)
PT: 2Mg + O2 \(\underrightarrow{t^o}\) 2MgO
\(\dfrac{4,32-x}{24}\rightarrow\dfrac{4,32-x}{48}\)...................(mol)
Suy ra: \(\dfrac{x}{84}+\dfrac{4,32-x}{48}=0,06\)
Giải phương trình ra, ta có: x = 3,36
hay: mFe= 3,36(g) => mMg= 4,32 - 3,36 = 0,96(g)
Vậy:\(\left\{{}\begin{matrix}\%Fe=\dfrac{3,36}{4,32}.100\%\simeq77,78\%\\\%Mg=\dfrac{0,96}{4,32}.100\%\simeq22,22\%\end{matrix}\right.\)