\(n_{KMnO_4}=\dfrac{18.96}{158}=0.12\left(mol\right)\)
\(2KMnO_4\underrightarrow{t^0}K_2MnO_4+MnO_2+O_2\)
\(0.12...........................................0.06\)
\(V_{O_2}=0.06\cdot22.4=1.344\left(l\right)\)
\(n_{Al}=\dfrac{5.4}{27}=0.2\left(mol\right)\)
\(4Al+3O_2\underrightarrow{t^0}2Al_2O_3\)
\(0.08.....0.06.......0.04\)
\(m_{Al\left(dư\right)}=\left(0.2-0.08\right)\cdot27=3.24\left(g\right)\)
\(m_{Al_2O_3}=0.04\cdot102=4.08\left(g\right)\)