\(n_{Al}=\dfrac{5.4}{27}=0.2\left(mol\right)\)
\(4Al+3O_2\underrightarrow{^{^{t^0}}}2Al_2O_3\)
\(0.2..........0.15\)
\(V_{O_2}=0.15\cdot22.4=3.36\left(l\right)\)
\(2KMnO_4\underrightarrow{^{^{t^0}}}K_2MnO_4+MnO_2+O_2\)
\(0.3...............................................0.15\)
\(m_{KMnO_4}=0.3\cdot158=47.4\left(g\right)\)