Did you round any of the given values? Because it seems to me you would just multiply the C of Fe times the g/mol of Fe. Thus, netting 77,000 cal/mol. I don't think the mass of the wire has anything to do with it since it's asking for something that's indepedent of the mass you currently have. (molar heat capacity is the energy required to raise the temperature of 1 mole an object 1degree celsius)