One mole of an ideal gas at $$350$$ K is in a $$2.0$$ L vessel of thermally conducting walls, which are in contact with the surroundings. It undergoes isothermal reversible expansion from $$2.0$$ L to $$3.0$$ L against a constant pressure of $$4$$ atm. The change in entropy of the surroundings ($$\Delta S$$) is _____ J K$$^{-1}$$ (Nearest integer)
Given: $$R = 8.314$$ J K$$^{-1}$$ mol$$^{-1}$$.