Multiplicity and Entropy A box is partitioned in half with 500 molecules of nitrogen gas on the left and 100 molecules of oxygen gas on the right and with both sides at the same temperature. The partition is punctured allowing a free expansion of the gases until equilibrium is reached. a) On average, how many molucules of each type will be in either half of the box? b) What is the change in entropy of the system from initial configuration to equilibrium? c) What is the probability of finding the molecules distributed as they were initially, with 500 nitrogen on the left and 100 oxygen on the right?