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Entropy and Gibbs Energy

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Chapter 15 focuses on the thermodynamic principles that determine whether chemical and physical processes are spontaneous. The notes begin by distinguishing spontaneous vs. nonspontaneous processes and explain why enthalpy (ΔH) alone is not enough to predict spontaneity. You'll gain a solid understanding of entropy (S) as a measure of molecular disorder, including its mathematical definition

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Subido en
23 de junio de 2025
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2024/2025
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Susan michael
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Ch 15 – Entropy and Gibbs Energy


Section 15.1 – Spontaneous Processes

AG = ( )
What is a spontaneous process? Give an example. A process that occurs under a specific set of conditions

Ex) Ice melting at room temperature

DG (t) What is a nonspontaneous process? Give an example. A process that
= does not occur under a
specific set of
conditions .
Ex) water freezing at room temperature
Does the sign of ΔH alone determine whether a process is spontaneous or nonspontaneous?
a negative SH (exothermic) tends to be
spontaneous but the sign of
, Al alone cannot predict spontaneity
in
every circumstance



Section 15.2 – Entropy

The entropy (S) of a system is a measure of: how
spread out or


dispersed the system's energy is .




The mathematical definition for entropy is S = klnW

• What is k? (Note: This is NOT a rate constant.)Boltzmann constant (1 38x10-23(/K) .




• What is W? # of energetically equivalent ways the molecules in a system can be arranged
• Based on this equation, what happens to S when W increases?
W also increases


Section 15.3 – Entropy Changes in a System

What is standard entropy? (S )
%




the absolute of
entropy a substance at lati


The entropies of substances (elements and compounds) are always ___________.
positive

solid Liquid gas
List the states of matter in order of increasing entropy: ________<________<________

same state same temp
higher thetemp greater the entropy
,
,




List the solids Au, Al,
-
98
C in order of increasing entropy at 25oC:
26 12 01
196 9
. .
.




C Al Al
________<________<________. Explain why you chose this order.
lightest
- heaviest

/for monatomic
species the one w/ ,
the larger molar mass
has a greater standard entropy (
1

, O3(g) and F2(g) are in the same phase has have relatively similar molar masses. Which one has
the greater standard entropy? Explain your answer. Oz will have the greater standard entropy .
For 2 substances w/ similar molar masses in the same phase ,
the substance with the more complex
molar structure has the greater So .

For the reaction aA + bB → cC + dD, write the equation you would use to calculate the standard
entropy change of the reaction (ΔS°), given the standard entropies of the components of the
reaction: products reactants -




15 xn
=
[25 °
(a) +
dSCD)] -

[aS °
(A) + bS
°

(B)]
Work through Worked Example 15.2. Once you understand the steps needed to solve this type
of problem, challenge yourself with the 3 Practice Problems (Attempt, Build, Conceptualize).
This should seem familiar to you, since you did something similar in General Chemistry I with
enthalpy (ΔH) values!

When the temperature of a system increases, the entropy ______________.
increases

When a substance dissolves in a solvent, the entropy often ________________.
increases




Review pages 696-697, then summarize the 6 main factors that influence the entropy of a
system:

• volume change
-


when volume increased ,
more energy levels become available within
which the energy can disperse
a vol =
↑ entropy (direct


Temperature change -
at higher temp molecules
, have a greater Kinetic energy making more energy
levess accessible
Temp

=

Pentropy (direct)

• MolecularComplexity the greater a molecules
complexity the it can rotate vibrate
-




more ways +
,


which results
energy levels for system to
disperse
in more a


complexity =

Tentropy (direct)

• Molar

mass-
molar mass =


q entropy (direct



• PhaseChange (s -1)
entropy increases when a molecule melted vaporized Is eg) ,
-


is
,


or sublimed(S-9) bc entropy increases in this order : S
,
1,.
9


• Chemical reaction -
when a chemicalrxn produces more
gas molecules than it consumes,

of (w)
possible arrangements
the # of diff molecules increases & entropy increases
2

(When Phase changes from above occur in chew rxn .
, entropy increases
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