\[ \Delta G^\circ = -RT \ln K_p \]\[ \Delta G^\circ = -8.314 \times 10^{-3} \times 298 \times \ln(2.47 \times 10^{-29}) \]\[ = -8.314 \times 10^{-3} \times 298 \times (-65.87) \]\[ = 163.19 \, \text{kJ} \]