The entropy change involved in the isothermal reversible expansion of $1$ mole of an ideal gas from a volume of $20 \mathrm{L}$ to $200 \mathrm{L}$at $300 \mathrm{K}$ is ____$\mathrm{J} {\mathrm{K}}^{-1}.$

Give the answer after rounding off to the nearest integer value.