Imagine an isolated, 10-liter cylinder containing one mole ofideal gas held in the left five liters of the cylinder by a piston,initially locked in place. The right half of the cylinder isevacuated; the entire system is maintained at constant temperature.When the piston is freed to move frictionlessly, we could track themotion of the piston and the volume in 1-liter increments.Calculate the change in entropy (in J mol^-1 K^-1) of the gas uponexpansion after each of the five 1-liter increments. Demonstratethat the total entropy is indeed maximized when the expansion iscomplete. Make a table.
