\(Fe_3O_4+4H_2\underrightarrow{t^o}3Fe+4H_2O\)
\(Fe_xO_y+yH_2\underrightarrow{t^o}xFe+yH_2O\)
Ta có: \(n_{H_2}=\dfrac{11,2}{22,4}=0,5\left(mol\right)\)
Theo PT: \(n_{H_2O}=n_{H_2}=0,5\left(mol\right)\)
Theo ĐLBT KL, có: mFe3O4 + mFexOy + mH2 = mFe + mH2O
⇒ a = mFe3O4 = 19,6 + 0,5.18 - 0,5.2 - 16 = 11,6 (g)
\(\Rightarrow n_{Fe_3O_4}=\dfrac{11,6}{232}=0,05\left(mol\right)\)
Có: \(n_{Fe}=\dfrac{19,6}{56}=0,35\left(mol\right)\)
Theo PT: \(n_{Fe}=3n_{Fe_3O_4}+x.n_{Fe_xO_y}\Leftrightarrow0,35=3.0,05+x.n_{Fe_xO_y}\Rightarrow n_{Fe_xO_y}=\dfrac{0,2}{x}\left(mol\right)\)
\(\Rightarrow M_{Fe_xO_y}=\dfrac{16}{\dfrac{0,2}{x}}=80x\left(g/mol\right)\)
Mà: \(M_{Fe_xO_y}=56x+16y\left(g/mol\right)\)
\(\Rightarrow56x+16y=80x\Rightarrow\dfrac{x}{y}=\dfrac{2}{3}\)
Vậy: CTHH cần tìm là Fe2O3