Problem 2.151

A thermally insulated vessel is partitioned into two parts so that the volume of one part is \(n=2.0\) times greater than that of the other. The smaller part contains \(v_{1}=0.30\) mole of nitrogen, and the greater one \(v_{2}=0.70\) mole of oxygen. The temperature of the gases is the same. A hole is punctured in the partition and the gases are mixed. Find the corresponding increment of the system's entropy, assuming the gases to be ideal.