Consider a gas cylinder containing 0.250 moles of an ideal gas in a volume of 6.00 L with a pressure of 1.00 atm. The cylinder is surrounded by a constant temperature bath at 292.0 K. With an external pressure of 3.00 atm, the cylinder is compressed to 2.00 L. Calculate the ∆S(gas) for this compression process, in J/K.