One mole of an ideal gas at \(\mathrm{350 ~K}\) is in a \(\mathrm{~2.0 ~L}\) vessel of thermally conducting walls, which…

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

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

[JEE Main 2023, 12 Apr (Shift 1)]