The reduction of iron(III) oxide (Fe2O3) to pure iron during the first step of steelmaking, 2Fe2O3(s)4Fe(s)+3O2(g) is driven by the high-temperature combustion of coke, a purified form of coal: C(s)+O2(s)CO2(g) Suppose at the temperature of a blast furnace the Gibbs free energies of formation Gf of CO2 and Fe2O3 are 412. kJ/mol and 816. kJ/mol, respectively. Calculate the minimum mass of coke needed to produce 580,t of pure iron. (One metric ton, symbol t, equals 1000kg.) Round your answer to 2 significant digits