\(CT:Fe_xO_y\)
\(Fe_xO_y+yH_2\underrightarrow{^{t^o}}xFe+yH_2O\left(1\right)\)
\(Fe+2HCl\rightarrow FeCl_2+H_2\left(2\right)\)
\(n_{Fe}=n_{H_2\left(2\right)}=\dfrac{4.032}{22.4}=0.18\left(mol\right)\)
\(n_{H_2\left(1\right)}=\dfrac{y}{x}\cdot n_{Fe}=\dfrac{5.376}{22.4}=0.24\left(mol\right)\)
\(\Leftrightarrow\dfrac{y}{x}\cdot0.18=0.24\)
\(\Leftrightarrow\dfrac{x}{y}=\dfrac{3}{4}\)
\(CT:Fe_3O_4\)
\(m_{Fe_3O_4}=\dfrac{0.18}{3}\cdot232=13.92\left(g\right)\)