OUTLINE OF CHAPTER 7

OUTLINE OF CHAPTER 7 - OUTLINE OF CHAPTER 7 Equilibrium and...

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OUTLINE OF CHAPTER 7 Equilibrium and Stability (One component Systems) Recall for Closed Systems Second Law Constant Volume and Q=0 Macroscopically time invariant, but with internal gradients( not uniform)
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Thus Example: Non uniform System Then So that But S is maximum, or dS=0, then
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THAT IS, THE SYSTEM IS UNIFORM ! !!!!!!!!!!! Is dS=0 enough? No, for a maximum, we ALSO need d 2 S<0 Back to Then For closed system at Constant T and P , we will get:
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Then Example Then Then Final Entropy Equilibrium Criteria
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or The derivative of the first law gives or Combining Thus We get T f from the first law: or Finally:
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STABILITY OF THERMODYNAMIC SYSTEMS T and P constant But
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Then Then or Then After some math manipulations
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Thus But Then : First Stability Criteria but Similarly
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Then Second Stability Criteria Or Phase Equilibria Van der Waals gas
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