Recent content by jbwebb
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J
Graduate Fundamental Thermodynamic Relation and Helmholtz Energy
Wow, thank you very much! I've learned so much more from this thread in the last few hours than I did pouring over my textbook and searching through the internet this past week. This stuff finally makes sense to me now.- jbwebb
- Post #11
- Forum: Thermodynamics
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J
Graduate Fundamental Thermodynamic Relation and Helmholtz Energy
Oh I think I get it! The equation ##dA = -SdT - PdV## refers specifically to some process between equilibrium states. But this doesn't necessarily apply to spontaneous processes at the infinitesimal level because some cannot be modeled quasi-statically. This isn't a problem because we've already...- jbwebb
- Post #9
- Forum: Thermodynamics
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J
Graduate Fundamental Thermodynamic Relation and Helmholtz Energy
Whoops wrote that post before reading your most recent one, Jano! Looking at it now...- jbwebb
- Post #7
- Forum: Thermodynamics
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J
Graduate Fundamental Thermodynamic Relation and Helmholtz Energy
Ah thanks for the clarification about the pressure. So would the correct statement be ##dU - T_rdS + P_{surr}dV \leq 0## where the equality holds for reversible processes and the inequality for irreversible processes? Also, when my textbook says, "In a system held at constant T and...- jbwebb
- Post #6
- Forum: Thermodynamics
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J
Graduate Fundamental Thermodynamic Relation and Helmholtz Energy
Thanks so much for your help! That makes a lot more sense now. Just to make sure I understand you correctly... The inequality applies to the temperature of the reservoir and not necessarily that of the system. During an irreversible process, if we were able to define a series of equilibrium...- jbwebb
- Post #3
- Forum: Thermodynamics
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J
Graduate Fundamental Thermodynamic Relation and Helmholtz Energy
I'm confused about the condition for spontaneity for the Helmholtz energy. My textbook (McQuarrie, "Physical Chemistry") derives the conditions as follows. We start with the combined law of thermodynamics: dU = δq + δw ≤ TdS – PdV since δq/T ≤ dS dU – TdS + PdV ≤ 0 For a process at...- jbwebb
- Thread
- Energy Fundamental Helmholtz Helmholtz energy Relation Thermodynamic
- Replies: 11
- Forum: Thermodynamics