Chemistry · JEE | Thermodynamics (Chemical Thermodynamics)

Calculate the standard Gibbs energy change (\( \Delta_r G^\ominus \) ) for the conversion of oxygen to ozone, \( \frac{3}{2}\text{O}_2(g) \rightarrow \text{O}_3(g) \) at \( 298 \text{ K} \), given that the equilibrium constant \( K_p = 2.47 \times 10^{-29} \) and \( R = 8.314 \text{ J K}^{-1} \text{ mol}^{-1} \).

1. A
   -163 kJ mol⁻¹
2. B
   +163 kJ mol⁻¹
3. C
   +326 kJ mol⁻¹
4. D
   -326 kJ mol⁻¹