Thermodynamics: Maxwell relations proofs 1 (from 𝘜 and 𝘏)
Автор: lseinjr1
Загружено: 2017-09-11
Просмотров: 45350
Описание:
00:08 Exact differentials
01:18 Condition for exactness
02:28 Combined form of First Law
02:59 Exact differntial for dU
03:54 Partial derivatives for temperature (T) and entropy (S)
04:58 Applying exactness condition
06:25 Finding dH from dU
08:18 Exact differential for dH
09:19 Partial derivatives for temperature (T) and volume (V)
10:08 Applying exactness condition
Derivation of two (2) of the four (4) Maxwell relations, starting from expressions for the internal energy 𝘜 and for the enthalpy 𝘏.
(∂𝘛/∂𝘝)ₛ = - (∂𝘱/∂𝘚)ᵥ and
(∂𝘛/∂𝘱)ₛ = (∂𝘝/∂𝘚)ₚ
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