2,
16 gam hỗn hợp \(\left\{{}\begin{matrix}Al:a\left(mol\right)\\Fe:b\left(mol\right)\\Zn:c\left(mol\right)\end{matrix}\right.\)\(\Rightarrow27a+56b+65c=16\left(I\right)\)
Chia làm 2 phần bằng nhau.
\(4Al\left(0,5a\right)+3O_2-t^o->2Al_2O_3\left(0,25a\right)\)
\(3Fe\left(0,5b\right)+2O_2-t^o->Fe_3O_4\left(\dfrac{1}{6}b\right)\)
\(2Zn\left(0,5c\right)+O_2-t^o->2ZnO\left(0,5c\right)\)
11,52 gam hỗn hợp oxit \(\left\{{}\begin{matrix}Al_2O_3:0,25a\left(mol\right)\\Fe_3O_4:\dfrac{1}{6}b\left(mol\right)\\ZnO:0,5c\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow25,5a+\dfrac{116}{3}b+40,5c=11,52\left(II\right)\)
\(n_{H_2}=0,2\left(mol\right)\)
\(2Al\left(0,5a\right)+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2\left(0,75a\right)\)
\(Fe\left(0,5b\right)+H_2SO_4\rightarrow FeSO_4+H_2\left(0,5b\right)\)
\(Zn\left(0,5c\right)+H_2SO_4\rightarrow ZnSO_4+H_2\left(0,5c\right)\)
\(\Rightarrow0,75a+0,5b+0,5c=0,2\left(III\right)\)
Giari (I), (II) và (III) => b = 0,12 (mol)
\(\Rightarrow m_{Fe}=6,72\left(g\right)\)
\(\Rightarrow\%m_{Fe}=\dfrac{6,72.100}{16}=42\%\)