the balanced chemical equation for the decomposition of Al₂O₃ is as follows
2Al₂O₃ --> 4Al + 3O₂
stoichiometry of Al₂O₃ to O₂ is 2:3
when 2 mol of Al₂O₃ decomposes - 3 mol of O₂ are formed
therefore when 26.5 mol of Al₂O₃ decomposes - 3/2 x 26.5 mol = 39.75 mol
the number of moles of O₂ formed are 39.75 mol