**Unformatted text preview: **T Q S T T Q S T ′ ∂ ∂ = ∆ ′ ∂ ∂ ∂ ∂ = ∆ ∂ ∂ λ , λ and so conclude that T T ′ = immediately; this is equivalent to treating the differentiation as a related rate problem, as 2 2 1 1 = ′ ′ + = ∆ ′ dT T d T c m T c m S T d d and using T T c m c m dT T d ′ =-= ′ gives 2 2 1 1 with a great savings of algebra. c) The final state of the system will be that for which no further entropy change is possible. If , T T ′ < it is possible for the temperatures to approach each other while increasing the total entropy, but when , T T ′ = no further spontaneous heat exchange is possible....

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- NoProfessor
- Thermodynamics, Energy, Entropy, Heat