J.R. S. answered 11/27/18
Ph.D. University Professor with 10+ years Tutoring Experience
You have to look up the standard enthalpies of formation for the reactants and products. These can be found either on the internet, or in a reference book. Then the procedure is to sum the ∆Hºf of the products and subtract from that the sum of the ∆Hºf of the reactants to get the ∆Hºf of the reaction. As it turns out, the ∆Hºf of elements (Al and Cu) is zero, so you only need values for Al2O3 and CuO. Look these up and then use
∆Hºf Al2O3 - 3x∆Hºf CuO to get your answer. Note to multiply the standard value for CuO by three to correct for the stoichiometry of the balanced equation.