2.8-2. A two-component gaseous system has a fundamental equation of the form S = AU¹/31/3 N1/3 + BN₁N₂ N' N = N₁ + N₂ where A and B are positive constants. A closed cylinder of total volume 2 is separated into two equal subvolumes by a rigid diathermal partition permeable only to the first component. One mole of the first component, at a temperature Te, is introduced in the left-hand subvolume, and a mixture of ½ mole of each component, at a temperature Tr, is introduced into the right-hand subvolume. Find the equilibrium temperature T. and the mole numbers in each subvolume when the system has come to equilibrium, assuming that T, = 2T, = 400 K and that 37B2=100A³Vo. Neglect the heat capacity of the walls of the container! Answer: N₁ = 0.9