Problem 2.153

Two identical thermally insulated vessels interconnected by a tube with a valve contain one mole of the same ideal gas each. The gas temperature in one vessel is equal to \(T_{1}\) and in the other, \(T_{2}\). The molar heat capacity of the gas of constant volume equals \(C_{V}\) The valve having been opened, the gas comes to a new equilibrium state. Find the entropy increment \(\Delta S\) of the gas. Demonstrate that \(\Delta S>0\)