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Thermodynamics: Laws, Entropy, Gibbs Free Energy, and Equilibrium Constant, Study notes of Chemistry

ch 18 thermodynamic study notes

Typology: Study notes

2022/2023

Uploaded on 05/08/2023

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10.1
the
laws
of
thermodynamics
·
first
law
states:
energy
cant
be
created
or
destroyed
0
DE
=
q
+
W-wor k
mechanical
A
heat
surroundings
a
energy
internal
-
w
-
G
energy
-
->
->
System
-
-
W
+
G
&
transfer
of
heat
energy
inlout
of
the
System
to
the
surroundings
·
second
law:
for
a
spontanous
process
-
entropy
of
the
universe
increases
entropy:
like
randomness
(disorder
a
randomness
entropy4
A
opposite
·
IS
universe
so
change
in
entropy
of
the
universe
is
a
positive
#so
30
·
Asystem
-
A
surroundings
o
u
two
of
the
combined
are
the
universe
·
3rdlaw:
a
perfect
crystal
ezepokelvin
has
zero
entropy
tmp
associated
with
randomness
I
disorder
Remp4
disorder
entropy4
A
opposite
10.2
-
entropy
S
=
KIn
IW)
OR
S
=
KB((-)
k
=
1.38
x
10-235/K
w
=
A
microstates
~
more
microstates,
more
entropy
·
mixtures
have
more
entropy
than
pure
substances
mixing
is
a
spontanous
process
a
leads
to
inc.
entropy
FACTORS
AFFECTING
ENTROPY
1
phase
a
solids:
most
order=
least
entropy
gas=
least
order:
most
entropy
2)
temperature
-
high
tempt
entropy4
temps
entropy
b
3)
volume
a
volumet
entropy4
9)
particles
-
more
particles,
more
entropy/disorder
or
more
moles
pf3
pf4
pf5

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the laws of thermodynamics

·

first

law

states: energy cant

be created or destroyed

0 DE

=

q

W-work

mechanical

A

heat

surroundings

a

energy

internal

w

G

energy

->

->

System

W

G

& transfer of heat energy

inlout of the

System

to the surroundings

·

second

law: for a spontanous process

entropy

of the universe increases

entropy:

like randomness

(disorder

a

randomness entropy4 A

opposite

·

IS universe

so

change

in

entropy

of the universe is

a

positive

#so

30

·

Asystem

  • A surroundings o

u

two

of

the combined

are

the universe

· 3rdlaw: a perfectcrystal

ezepokelvin has zero entropy

tmp associated with

randomness

I disorder

Remp4 disorderentropy A

opposite

entropy

S

=

KIn IW)

OR S

=

KB((-)

k

=

x 10-235/K

w

=

A microstates

~

more microstates,

more

entropy

·

mixtures

have more

entropy

than

pure

substances

mixing

is

a spontanous process

a

leads to

inc.

entropy

FACTORS AFFECTING ENTROPY

1

phase

a

solids:

mostorder=

least entropy

gas=

least order:

most

entropy

temperature

high

tempt

entropy temps entropy b

volume

a volumet entropy

particles

more particles,

more

entropy/disorder

or more moles

predicting

the

sign of IS

moles

of gas

look

reaction

to

see if

youre getting

move or less moves

of

gas

4Oas

DSCO,

bGas

DS

no

change

in

  • unable

to

guess,

somewhatclose

to

zero

Phase changes

S-1-goenotherher,

entro

is

St-

--

g DHC

exother mic

DSCO -

less

disorder,

entropy

NaCIs)

Nalag)

for

salts

=

DSSO

dissolving

is associated with

more

disorder,

entropy

  1. Complexity

simple or

more

complex molecules?

use method iffirst

dont

work

ex4MPICS:

molgas

2

moles

gas

122(x

=>

more

gas,

entropy

so

DSO

H20,1)

H

is)

las less

entropy SO

DSCO

kBris)

kBr,nN)

dissolving,

ASJO

calculating

DS, DH,

DS

·

DGA DHP

in

k5/mol

B6ixn

=

nD61, pro

mas

·

DS in

51mol

A,

reac

DMn

=

EnBHE, prod-EmDti,

reac

->

ntm mean multiply

Sim

=

SnSpron-SmS" reac

by coeff

·

elements in their standard

stale

have

a DCoo

DH

of 0

if DJ is not provided, use

D6=DH-TDS

to calculatein

u

units must

match!

F

ORMATION REACTIONS

form 1 mol

ofa single product

Reactants

are

elements

in standard

state

6 It,

tC

H2119)

3(9)

must

balance but still keep the product

as I move

18.5-Gibbs free energy

&

eg.

constant

D

A

Keq

DO

=

D60+

RTIn(a)

o

f

spartial

pressure

proal

R

=

8.1395/mol D8: given

in"

mol

Q=

coeft

IPpveact

f

2

Pp

react

(

D6" = 0

Gequilibrium

C

notthe same

AG

=

usually NOT

=

o

Keg

is same

thing

as

p

160

=

RT(n((eq)

Ab

Keg

=

1 RT

2

Relationship between K, $6,

as QCK

1630 al 3600

Keq)

-ASK

ACSO

b)

b6°>

Keq<

CI

a

= IC

=

0

xD

=

0

Keg

=

Review:

to

know

predicting

the

sign of IS

1) # moles

of

gas

look reaction

to see ifyoure

getting

move or less moves

ofgas

4Oas

DSCO,

bGas DS

no

change in -

unable

to

guess,

somewhatclose

to

zero

Phase

changes

S-1-g

DHSO

endothermic

DSJO w

more disorder, entropy

S-l-9 DHCO

exothermic

DSCO -

less

disorder,

entropy

NaCIs)

Nalag)

for

salts

=

DSSO

dissolving is associated with

more

disorder,

entropy

  1. Complexity

simple or

more complex molecules?

use

method

if first

dont

work

16.3-Gibbs

free energy

& relationship

between C, DH,

DS

* get

higher test scores

DG

=

DH

TDS

Surroundings

spontanous

system

D6s

nonspontanous

b

=

0 e equilibrium

surroundings

DG vs D

~

means a standard conditions:

a)

I

mocare concentration for

ag.

Species

b)

a

m for gasses

C)

250 on

298 Kelvin what the

universe doesnt

want

A

what

the universe wants

DG

=

DH-TDS

BH DS

A

B

un

s

I

spontanious

= -

-a

  • b

=

  •  DGCO 

A

--

+ -honspontanious:

-a

b

=

+#

AS>

plug

values

I

t -Spontanious

I

a

b

=

into

high

temp

a

  • b

=

equation---

spontanious

&

low

Rrup

18.5-Gibbs free energy

&

eg.

constant

D

A

Keq

DO

=

D60+

RTIn(a)

o

f

spartial

pressure

proal

R

=

8.1395/mol D8: given

in"

mol

Q=

coeft

IPpveact

(uett

2

Pp

react

(

D6" = 0

Gequilibrium

C

notthe same

AG

= usually NOT

=

o

Keg

is same

thing

as

p

160

=

RT(n((eq)

Ab

keg

=

~RT

2

Relationship between K, $6,

as QCK

1630 al 3600

Keq)

-ASK

ACSO

b)

b6°>

Keq<

CI

a

=

IC

=

0

xD

=

0

Keg

=