Chemistry · THERMODYNAMICS

Calculate \( \Delta_r G^\circ \) at \( 298\text{ K} \) for the conversion \( \frac{3}{2}\text{O}_2(g) \rightarrow \text{O}_3(g) \) if \( K_p = 2.47 \times 10^{-29} \). (Given: \( 2.303 \times R \times 298 \approx 5706\text{ J mol}^{-1} \), \( \log(2.47) \approx 0.393 \))

1. A
   \( -163\text{ kJ mol}^{-1} \)
2. B
   \( +163\text{ kJ mol}^{-1} \)
3. C
   \( +81.5\text{ kJ mol}^{-1} \)
4. D
   \( +326\text{ kJ mol}^{-1} \)