\sect{Baruch's A02.} Consider mixing of two gases with initial different temperatures, ${T_{1}, T_{2}}$, particle numbers $N_1,N_2$ and volumes $V_1,V_2$, respectively. Evaluate the mixing entropy (i.e. the change of entropy upon mixing) in two cases: (i) the gases are identical, (ii) the gases are distinct (but have equal mass). Show that the mixing entropy in case (ii) is larger and argue for the reason. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%