\(n_{Cl_2}=\dfrac{13.44}{22.4}=0.6\left(mol\right)\)
\(n_{H_2}=\dfrac{11.2}{22.4}=0.5\left(mol\right)\)
\(n_{Fe}=a\left(mol\right),n_{Al}=b\left(mol\right)\)
\(n_{H_2}=a+1.5b=0.5\left(mol\right)\)
\(n_{Cl_2}=1.5a+1.5b=0.6\left(mol\right)\)
\(\Rightarrow a=b=0.2\)
\(m_X=0.2\cdot\left(56+27\right)=16.6\left(g\right)\)