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