Final answer:
To calculate Delta S surroundings, use the equation Delta S₀ surroundings = (-Delta H rxn) / T. For the example given, Delta S₀ surroundings at 298 K would be 949 J/K. Delta S sys is found using standard entropy values and the balanced chemical equation.
Step-by-step explanation:
To calculate the change in entropy of the surroundings (Delta S surroundings) for a reaction, you may use the relation that links enthalpy change (Delta H rxn) of the system and the absolute temperature (T) at which the reaction takes place. The formula is as follows:
Delta S₀ surroundings = (-Delta H rxn) / T
For the given reaction with Delta H rxn = -283 kJ and T at 298 K, the calculation would be:
Delta S₀ surroundings = (-(-283 kJ)) / (298 K) = 0.949 kJ/K
To express this value in the standard SI units of J/K, multiply it by 1000:
Delta S₀ surroundings = 0.949 kJ/K × 1000 = 949 J/K
As for calculating the entropy change of the system (Delta S sys), you would generally use standard entropy values and apply them to the balanced chemical equation. The formula to calculate Delta S sys is given by:
Delta S sys = ΣS°(products) - ΣS°(reactants)