Consider the reaction X $$\rightleftharpoons$$ Y at 300 K. If $$\Delta H^\theta$$ and K are 28.40 kJ mol$$^{-1}$$ and $$1.8 \times 10^{-7}$$ at the same temperature, then the magnitude of $$\Delta S^\theta$$ for the reaction in J K$$^{-1}$$ mol$$^{-1}$$ is _______. (Nearest integer)
(Given: R = 8.3 J K$$^{-1}$$ mol$$^{-1}$$, ln 10 = 2.3, log 3 = 0.48, log 2 = 0.30)