For the gas-phase reaction

CHEMISTRY · Subjective · A Level · Chemistry · Thermodynamics · Thermodynamics

Problem

\mathrm{SO_{2}(g) + \tfrac{1}{2}\,O_{2}(g) \rightarrow SO_{3}(g)}

, the enthalpy change is

\Delta H = -44.5\,\text{kJ\,mol}^{-1}

and the entropy change is

\Delta S = -120\,\text{J\,mol}^{-1}\,\text{K}^{-1}

. Determine

\Delta G

298\,\text{K}

(in kJ·mol⁻¹) and state whether the reaction is thermodynamically favored at this temperature.