One mole of an ideal gas at $350 \mathrm{~K}$ is in a $2.0 \mathrm{~L}$ vessel of thermally conducting walls, which are in contact with the surroundings. It undergoes isothermal reversible expansion from 2.0 L to $3.0 \mathrm{~L}$ against a constant pressure of $4 \mathrm{~atm}$. The change in entropy of the surroundings ( $\Delta \mathrm{S})$ is ___________ $\mathrm{J} \mathrm{K}^{-1}$ (Nearest integer)

Given: $\mathrm{R}=8.314 \mathrm{~J} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}$.