For the reversible reaction at 300 K, \( \Delta H^o = 28.4 \, \text{KJ/mole} \) and equilibrium constant \( K = 1.8 \times 10^{-7} \), then calculate the magnitude of \( \Delta S^o \) in Joule/K-mole.
[Given: log 2 = 0.3, \( \ln 10 = 2.3 \), \( R = 8.314 \, \text{J/K.mole} \), log 3 = 0.47]