\(n_{H_2}=\dfrac{11.2}{22,4}=0,5\left(mol\right)\)
Gọi \(\left\{{}\begin{matrix}n_{Fe_2O_3}=a\left(mol\right)\\n_{Fe_3O_4}=b\left(mol\right)\end{matrix}\right.\)
\(160a+232b=27,2\left(g\right)\left(1\right)\)
PTHH : Fe2O3 + 3H2 --to--> 2Fe + 3H2O
\(a\) \(3a\) \(2a\)
PTHH : Fe3O4 + 4H2 --to--> 3Fe + 4H2O
\(b\) \(4b\) \(3b\)
\(3a+4b=0,5\left(mol\right)\) \(\left(2\right)\)
\(\left(1\right)\left(2\right)\Rightarrow\left\{{}\begin{matrix}a=\dfrac{9}{70}\left(mol\right)\\b=\dfrac{1}{35}\left(mol\right)\end{matrix}\right.\)
\(n_{Fe\left(2\right)}=3b=\dfrac{1}{35}.3=\dfrac{3}{35}\left(mol\right)\)
\(m_{Fe\left(2\right)}=\dfrac{3}{35}.56=4,8\left(g\right)\)
\(n_{Fe\left(1\right)}=2a=2.\dfrac{9}{70}=\dfrac{9}{35}\left(mol\right)\)
\(m_{Fe\left(1\right)}=\dfrac{9}{35}.56=14,4\left(g\right)\)
\(m_{Fe\left(tổng\right)}=4,8+14,4=19,2\left(g\right)\)