To calculate the standard reaction entropy, we can use the equation:G = H - TSWhere G is the standard Gibbs free energy change, H is the standard enthalpy change, T is the temperature in Kelvin, and S is the standard entropy change.First, we need to find the standard Gibbs free energy change G for the reaction. Since the reaction is balanced and the standard state is defined, we can use the following equation:G = Gf products - Gf reactants For the given reaction:G = Gf Fe2O3 - [2Gf Fe + 3/2Gf O2 ]The standard Gibbs free energy of formation Gf for elements in their standard state is zero. Therefore, Gf Fe = 0 and Gf O2 = 0. The Gf Fe2O3 = -740.5 kJ/mol from standard thermodynamic tables . Substituting these values into the equation:G = -740.5 kJ/mol - [2 0 + 3/2 0 ]G = -740.5 kJ/molNow, we can use the equation G = H - TS to find the standard reaction entropy S . We are given the standard enthalpy change H as -824.2 kJ/mol and the temperature T as 298 K. Rearranging the equation to solve for S:S = H - G / TSubstituting the given values:S = -824.2 kJ/mol + 740.5 kJ/mol / 298 KS = -83.7 kJ/mol / 298 KS = -0.281 kJ/ molK The standard reaction entropy for the given reaction is -0.281 kJ/ molK .