\(n_{Fe}=a\left(mol\right),n_{FeO}=b\left(mol\right)\)
\(m_X=56a+72b=12.8\left(g\right)\)
\(n_{H_2}=n_{Fe}=\dfrac{2.24}{22.4}=0.1\left(mol\right)\)
\(\Rightarrow a=0.1\)
\(b=\dfrac{12.8-56\cdot0.1}{72}=0.1\left(mol\right)\)
\(BTe:\)
\(3n_{Fe}+n_{FeO}=2n_{SO_2}\)
\(\Rightarrow n_{SO_2}=\dfrac{3\cdot0.1+0.1}{2}=0.2\left(mol\right)\)
\(V_{SO_2}=0.2\cdot22.4=4.48\left(l\right)\)
\(\)