Consider the reaction X ⇌ Y at 300 K. If Δ H^θ and K are 28.40 kJ mol^-1 and 1.8 × 10^-7 at the same temperature, then the magnitude of Δ S^θ for the…

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