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Chapter 17
Spontaneity, Entropy,
and Free Energy
Section 17.1
Spontaneous Processes and Entropy
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Section 17.1
Spontaneous Processes and Entropy
Section 17.1
Spontaneous Processes and Entropy
Section 17.1
Spontaneous Processes and Entropy
Section 17.1
Spontaneous Processes and Entropy
Section 17.1
Spontaneous Processes and Entropy
Section 17.1
Spontaneous Processes and Entropy
2013 AP Curriculum Guidelines
Section 17.1
Spontaneous Processes and Entropy
Section 17.1
Spontaneous Processes and Entropy
Section 17.1
Spontaneous Processes and Entropy
Thermodynamics vs.
Kinetics
 Domain of Kinetics
 Rate of a reaction depends
on the pathway from
reactants to products.
 Thermodynamics tells us
whether a reaction is
spontaneous based only
on the properties of
reactants and products.
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Section 17.1
Spontaneous Processes and Entropy
Spontaneous Processes and Entropy
 Thermodynamics lets us predict the direction in
which a process will occur but gives no information
about the speed of the process.
 A spontaneous process is one that occurs without
outside intervention.
Thermodynamically favorable
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Section 17.1
Spontaneous Processes and Entropy
CONCEPT CHECK!
Consider 2.4 moles of a gas contained in a 4.0 L bulb
at a constant temperature of 32°C. This bulb is
connected by a valve to an evacuated 20.0 L bulb.
Assume the temperature is constant.
a) What should happen to the gas when you open
the valve?
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Section 17.1
Spontaneous Processes and Entropy
CONCEPT CHECK!
Consider 2.4 moles of a gas contained in a 4.0 L bulb
at a constant temperature of 32°C. This bulb is
connected by a valve to an evacuated 20.0 L bulb.
Assume the temperature is constant.
b) Calculate ΔH, ΔE, q, and w for the process you
described above.
All are equal to zero.
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Section 17.1
Spontaneous Processes and Entropy
CONCEPT CHECK!
Consider 2.4 moles of a gas contained in a 4.0 L bulb
at a constant temperature of 32°C. This bulb is
connected by a valve to an evacuated 20.0 L bulb.
Assume the temperature is constant.
c) Given your answer to part b, what is the
driving force for the process?
Entropy
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Section 17.1
Spontaneous Processes and Entropy
The Expansion of An Ideal Gas Into an Evacuated Bulb
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Section
Entropy17.1
Spontaneous Processes and Entropy
 The driving force for a spontaneous process is an
increase in the entropy of the universe.
 A measure of molecular randomness or disorder.
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Entropy17.1
Section
Spontaneous Processes and Entropy
 Thermodynamic function that describes the number
of arrangements that are available to a system
existing in a given state.
 Nature spontaneously proceeds toward the states
that have the highest probabilities of existing.
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Section 17.1
Spontaneous Processes and Entropy
The Microstates
That Give a
Particular
Arrangement
(State)
Section 17.1
Spontaneous Processes and Entropy
Positional Entropy
 A gas expands into a vacuum to give a uniform
distribution because the expanded state has the
highest positional probability of states available to
the system.
 Therefore: Ssolid < Sliquid << Sgas
Section 17.1
Spontaneous Processes and Entropy
CONCEPT CHECK!
Predict the sign of ΔS for each of the following,
and explain:
+ a) The evaporation of alcohol
– b) The freezing of water
– c) Compressing an ideal gas at constant
temperature
+ d) Heating an ideal gas at constant
pressure
+ e) Dissolving NaCl in water
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Section
17.1
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Spontaneous Processes and Entropy
Section 17.1
Spontaneous Processes and Entropy
2014 AP Exam
Section 17.1
Spontaneous Processes and Entropy
2014 AP Exam
Section 17.2
Entropy and the Second Law of Thermodynamics
Second Law of Thermodynamics
 In any spontaneous process there is always an increase
in the entropy of the universe.
 The entropy of the universe is increasing.
 The total energy of the universe is constant, but the
entropy is increasing.
Suniverse = ΔSsystem + ΔSsurroundings
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Section 17.2
Entropy and the Second Law of Thermodynamics
ΔSsurr
 ΔSsurr = +; entropy of the universe increases
 ΔSsurr = -; process is spontaneous in opposite direction
 ΔSsurr = 0; process has no tendency to occur
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Section 17.2
Entropy and the Second Law of Thermodynamics
2014 AP Exam
Section 17.2
Entropy and the Second Law of Thermodynamics
2014 AP Exam
Section 17.3
The Effect of Temperature on Spontaneity
CONCEPT CHECK!
For the process A(l)
A(s), which direction involves
an increase in energy randomness? Positional
randomness? Explain your answer.
As temperature increases/decreases (answer for both),
which takes precedence? Why?
At what temperature is there a balance between energy
randomness and positional randomness?
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Section 17.3
The Effect of Temperature on Spontaneity
CONCEPT CHECK!
For the process A(l)
A(s), which direction involves
an increase in energy randomness? Positional
randomness? Explain your answer.
Since energy is required to melt a solid, the reaction as written is
exothermic. Thus, energy randomness favors the right (product;
As temperature increases/decreases (answer for both),
solid). Since a liquid has less order than a solid, positional
which takes
Why?
randomness
favorsprecedence?
the left (reactant;
liquid).
At what temperature is there a balance between energy
randomness and positional randomness?
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Section 17.3
The Effect of Temperature on Spontaneity
CONCEPT CHECK!
For the process A(l)
A(s), which direction involves
an increase in energy randomness? Positional
randomness? Explain your answer.
As temperature increases/decreases (answer for both),
which takes precedence? Why?
At what temperature is there a balance between energy
randomness and positional randomness?
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Section 17.3
The Effect of Temperature on Spontaneity
CONCEPT CHECK!
Describe the following as spontaneous/non-spontaneous/cannot tell,
and explain.
A reaction that is:
a) Exothermic and becomes more positionally random
Spontaneous
b) Exothermic and becomes less positionally random
Cannot tell
a) Endothermic and becomes more positionally random
Cannot tell
a) Endothermic and becomes less positionally random
Not spontaneous
Explain how temperature affects your answers.
Section 17.3
The Effect of Temperature on Spontaneity
ΔSsurr
 The sign of ΔSsurr depends on the direction of the heat
flow.
 The magnitude of ΔSsurr depends on the temperature.
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Section 17.3
The Effect of Temperature on Spontaneity
ΔSsurr
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Section 17.3
The Effect of Temperature on Spontaneity
ΔSsurr
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Section 17.3
The Effect of Temperature on Spontaneity
ΔSsurr
Heat flow (constant P) = change in enthalpy = ΔH
Ssurr
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H
= 
T
38
Section 17.3
The Effect of Temperature on Spontaneity
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Section
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Spontaneous Processes and Entropy
Section 17.4
Free Energy
Free Energy (G)
Suniv
G
= 
(at constant T and P )
T
 A process (at constant T and P) is spontaneous in the
direction in which the free energy decreases.
 Negative ΔG means positive ΔSuniv.
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Section 17.4
Free Energy
Gibbs Free Energy (G)
Energy Free to do work
 ΔG = ΔH – TΔS (at constant T and P)
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Section 17.1
Spontaneous Processes and Entropy
Section 17.1
Spontaneous Processes and Entropy
Hint: Which equation should you use?
2014 AP Exam
Section 17.1
Spontaneous Processes and Entropy
2014 AP Exam
Section 17.1
Spontaneous Processes and Entropy
CONCEPT
Section
17.4CHECK!
Free
Energy
A liquid
is vaporized at its boiling point. Predict the signs of:
w
q
ΔH
ΔS
ΔSsurr
ΔG
–
+
+
+
–
0
Explain your answers.
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CONCEPT
Section
17.4CHECK!
Free
Energy
A liquid
is vaporized at its boiling point. Predict the signs of:
w
q
ΔH
ΔS
ΔSsurr
ΔG
–
+
+
+
–
0
As a liquid goes to vapor, it does work on
the surroundings (expansion occurs). Heat
is required for this process. Thus, w =
negative; q = H = positive. S = positive
(a gas is more disordered than a liquid), and
Ssurr = negative (heat comes from the
surroundings to the system); G = 0
because the system is at its boiling point
Explain your answers. and therefore at equilibrium.
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Section 17.1
Spontaneous Processes and Entropy
Section 17.1
Spontaneous Processes and Entropy
Section 17.1
Spontaneous Processes and Entropy
Section 17.1
Spontaneous Processes and Entropy
Section 17.1
Spontaneous Processes and Entropy
Section 17.1
Spontaneous Processes and Entropy
Section 17.1
Spontaneous Processes and Entropy
Section 17.1
Spontaneous Processes and Entropy
Section 17.4
Free Energy
EXERCISE!
The value of ΔHvaporization of substance X is 45.7 kJ/mol,
and its normal boiling point is 72.5°C.
Calculate ΔS, ΔSsurr, and ΔG for the vaporization of one
mole of this substance at 72.5°C and 1 atm.
ΔS = 132 J/K·mol
ΔSsurr = -132 J/K·mol
ΔG = 0 kJ/mol
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Section 17.4
Free Energy
Spontaneous Reactions
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Section 17.4
Free Energy
Effect of ΔH and ΔS on Spontaneity
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Section 17.5
Entropy Changes in Chemical Reactions
CONCEPT CHECK!
Gas A2 reacts with gas B2 to form gas AB at constant
temperature and pressure. The bond energy of AB is much
greater than that of either reactant.
Predict the signs of:
ΔH
ΔSsurr
–
+
ΔS
ΔSuniv
0
+
Explain.
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Section 17.5
Entropy Changes in Chemical Reactions
Third Law of Thermodynamics
 The entropy of a perfect crystal at 0 K is zero.
 The entropy of a substance increases with temperature.
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Section 17.5
Entropy Changes in Chemical Reactions
Standard Entropy Values (S°)
 Represent the increase in entropy that occurs when a
substance is heated from 0 K to 298 K at 1 atm pressure.
ΔS°reaction = ΣnpS°products – ΣnrS°reactants
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Section 17.5
Entropy Changes in Chemical Reactions
EXERCISE!
Calculate ΔS° for the following reaction:
2Na(s) + 2H2O(l) → 2NaOH(aq) + H2(g)
Given the following information:
S° (J/K·mol)
Na(s)
51
H2O(l)
70
NaOH(aq)
50
H2(g)
131
ΔS°= –11 J/K
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Spontaneous Processes and Entropy
Section 17.6
Free Energy and Chemical Reactions
Standard Free Energy Change (ΔG°)
 The change in free energy that will occur if the reactants
in their standard states are converted to the products in
their standard states.
ΔG° = ΔH° – TΔS°
ΔG°reaction = ΣnpG°products – ΣnrG°reactants
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Section 17.6
Free Energy and Chemical Reactions
CONCEPT CHECK!
A stable diatomic molecule spontaneously
forms from its atoms.
Predict the signs of:
ΔH°
ΔS°
–
–
ΔG°
–
Explain.
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Section 17.6
Free Energy and Chemical Reactions
CONCEPT CHECK!
Consider the following system at
equilibrium at 25°C.
PCl3(g) + Cl2(g)
PCl5(g)
ΔG° = −92.50 kJ
What will happen to the ratio of partial
pressure of PCl5 to partial pressure of PCl3 if
the temperature is raised? Explain.
The ratio will decrease.
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Section 17.7
The Dependence of Free Energy on Pressure
Free Energy and Pressure
G = G° + RT ln(P)
or
ΔG = ΔG° + RT ln(Q)
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Section 17.7
The Dependence of Free Energy on Pressure
CONCEPT CHECK!
Sketch graphs of:
1. G vs. P
2. H vs. P
3. ln(K) vs. 1/T (for both endothermic and
exothermic cases)
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Section 17.7
The Dependence of Free Energy on Pressure
The Meaning of ΔG for a Chemical Reaction
 A system can achieve the lowest possible free energy by
going to equilibrium, not by going to completion.
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The Dependence of Free Energy on Pressure
Section 17.8
Free Energy and Equilibrium
 The equilibrium point occurs at the lowest value of free
energy available to the reaction system.
ΔG = 0 = ΔG° + RT ln(K)
ΔG° = –RT ln(K)
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Section 17.8
Free Energy and Equilibrium
Change in Free Energy to Reach Equilibrium
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Section 17.8
Free Energy and Equilibrium
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Section 17.9
Free Energy and Work
 Maximum possible useful work obtainable from a
process at constant temperature and pressure is equal
to the change in free energy.
wmax = ΔG
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Section 17.9
Free Energy and Work
 Achieving the maximum work available from a
spontaneous process can occur only via a hypothetical
pathway. Any real pathway wastes energy.
 All real processes are irreversible.
 First law: You can’t win, you can only break even.
 Second law: You can’t break even.
 As we use energy, we degrade its usefulness.
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Section 17.9
Free Energy and Work
Section 17.9
Free Energy and Work
Section 17.9
Free Energy and Work
Section 17.9
Free Energy and Work
Section 17.9
Free Energy and Work