(Solution) - An object of mass m1 specific heat capacity C1 and -(2025 Original AI-Free Solution)

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An object of mass m1 specific heat capacity C1 and temperature T1 is placed in contact with a second object of mass m2, specific heat capacity C2, and temperature T2 > T1 . As a result, the temperature of the first object increases to T and the temperature of the second object decreases to T'.
(a) Show that the entropy increase of the system is


(b) Show that the entropy change ?S, considered as a function of T, is a maximum if T = T, which is just the condition of thermodynamic equilibrium.
(c) Discuss the result of part (b) in terms of the idea of entropy as a measure of disorder.