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Spontaneous Processes and Entropy

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Presentation on theme: "Spontaneous Processes and Entropy"— Presentation transcript:

1 Spontaneous Processes and Entropy
Thermodynamics lets us predict whether a process will occur but gives no information about the amount of time required for the process. A spontaneous process is one that occurs without outside intervention. Copyright©2000 by Houghton Mifflin Company. All rights reserved.

2 Copyright©2000 by Houghton Mifflin Company. All rights reserved.
Entropy The driving force for a spontaneous process is an increase in the entropy of the universe. Entropy, S, can be viewed as a measure of randomness, or disorder. Copyright©2000 by Houghton Mifflin Company. All rights reserved.

3 Positional Entropy A gas expands into a vacuum because the expanded state has the highest positional probability of states available to the system. Therefore, Ssolid < Sliquid << Sgas Copyright©2000 by Houghton Mifflin Company. All rights reserved.

4 The Second Law of Thermodynamics
. . . in any spontaneous process there is always an increase in the entropy of the universe. Suniv > 0 for a spontaneous process. Copyright©2000 by Houghton Mifflin Company. All rights reserved.

5 Copyright©2000 by Houghton Mifflin Company. All rights reserved.
Free Energy G = H  TS (from the standpoint of the system) A process (at constant T, P) is spontaneous in the direction in which free energy decreases: G means +Suniv Copyright©2000 by Houghton Mifflin Company. All rights reserved.

6 Effect of H and S on Spontaneity
Copyright©2000 by Houghton Mifflin Company. All rights reserved.

7 The Third Law of Thermodynamics
. . . the entropy of a perfect crystal at 0 K is zero. Because S is explicitly known (= 0) at 0 K, S values at other temps can be calculated. Copyright©2000 by Houghton Mifflin Company. All rights reserved.

8 Free Energy Change and Chemical Reactions
G = standard free energy change that occurs if reactants in their standard state are converted to products in their standard state. G = npGf(products)  nrGf(reactants) Copyright©2000 by Houghton Mifflin Company. All rights reserved.

9 Free Energy and Pressure
G = G + RT ln(Q) Q = reaction quotient from the law of mass action. Copyright©2000 by Houghton Mifflin Company. All rights reserved.

10 Free Energy and Equilibrium
G = RT ln(K) K = equilibrium constant This is so because G = 0 and Q = K at equilibrium. Copyright©2000 by Houghton Mifflin Company. All rights reserved.

11 Temperature Dependence of K
y = mx + b (H and S  independent of temperature over a small temperature range) Copyright©2000 by Houghton Mifflin Company. All rights reserved.

12 Reversible v. Irreversible Processes
Reversible: The universe is exactly the same as it was before the cyclic process. Irreversible: The universe is different after the cyclic process. All real processes are irreversible -- (some work is changed to heat). Copyright©2000 by Houghton Mifflin Company. All rights reserved.


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