(2) Consider a container surrounded by adiabatic walls. The container is separated by a fixed and heat-conductive wall into two compartments Vi and V2. Using the condition to maximize entropy, show that the temperatures inside the two compartments are equal when the equilibrium is reached. Show this with and without using Lagrange multiplier. S₁ T₁ V₁₁ S2 T2 V2n2

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