Thermodynamics

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