Using the thermochemical data from Pankratz (US Bureau of Mines), manually calculate the energy requirement (in kJ/mol ) to raise alumina (Al2O3) from 2100 to 2600K in two ways: 1. Considering a PATH function by integrating Cp and considering phase changes - show your workings [4 marks] 2. Considering a STATE function using the HH298 data [2 marks] Phase changes: 933.61k, melting point of A1; H=2.580kca1/mol. 2327K, De1t1ng point of Al2O3;HH=26.68kea1/mol. Heat capac1ty (ca1/oolK) and entha1py (kcal/mo1) equations: 298.152327K:Cp027.605+2.758103T8.482105T2H298=27.605103T+1.379106T2+8.482102T111.1982327-2500K:CP=46.000H29=46.000103T19.492 In addition, provide 3. A comparison of Thermo data to the data from Pankratzi.e., Thermo PATH function, Thermo STATE function [2 marks] HINT: 1kcal=4.184kJ and 1cal=4.184J