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Equilibrium: The Extent of
Reactions
Chemical equilibrium – studies the extent of reactions
and the ways it can be altered
Kinetics and equilibrium are two different aspects of
chemical reactions (fast reactions may proceed to a
great, lesser or a limited extent; same is true for slow
reactions)
16.1 The Dynamic Nature of the
Equilibrium State
Chemical equilibrium a state in which the
concentrations of reactants and products no
longer change
¾Equilibrium is not a stationary state or a
unidirectional process
Example: (A B C)
If the rates of step 1 and step 2 are equal, [B]
remains constant not an equilibrium state
¾Equilibrium is a dynamic state achieved by the
equalization of the forward and reverse rates of a
reversible (bidirectional) process
Example: (A B)
If the rates of the forward and reverse reactions are
equal, [A] and [B] remain constant an
equilibrium state
At equilibrium Ratefwd = Raterev
[A] = constant
[B] = constant
C
oncentrat
i
on
Time
[A]
[B]
Equilibrium
Rate
forward
reverse
Equilibrium
Time
At a given T, the same equilibrium state is
reached even if the process is started from
different starting points
Ratefwd = Raterev
Example: N2O4(g; colorless)
2NO2(g; brown)
¾The reaction can be started from pure N2O4(g;
colorless) or from pure NO2(g; brown).
¾In both cases at equilibrium, the same light-brown
color is reached (the same proportion of N2O4 and
NO2is produced)
¾The reaction has a single step mechanism (the
forward and reverse reactions are elementary), so at
equilibrium:
Rate1= Rate-1 k1[N2O4] = k-1[NO2]2
]O[N
][NO
42
2
2
1
1==
K
k
k
Kis a constant which depends
on T(K= 0.211 at 100°C)
Kdetermines the proportion of
N2O4and NO2at equilibrium
pf3

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Equilibrium: The Extent of

Reactions

  • Chemical equilibrium – studies the extent of reactions

and the ways it can be altered

  • Kinetics and equilibrium are two

different

aspects of

chemical reactions (fast reactions may proceed to agreat, lesser or a limited extent; same is true for slowreactions)

16.1 The Dynamic Nature of theEquilibrium State

Chemical equilibrium

– a state in which the

concentrations of reactants and products nolonger change

Equilibrium

is not

a stationary state or a

unidirectional process

Example:

(A

B

C)

If the rates of step 1 and step 2 are equal, [B]remains constant

not an equilibrium state

Equilibrium is a dynamic state

achieved by the

equalization of the forward and reverse rates of a reversible

(bidirectional)

process

Example:

(A

B)

If the rates of the forward and reverse reactions areequal, [A] and [B] remain constant

an

equilibrium state

At equilibrium

Rate

fwd

= Rate

rev

[A] = constant[B] = constant

oncentration C

Time

[A] [B]

Equilibrium

Rate

forward reverse

Equilibrium

Time

  • At a given

T

, the same equilibrium state is

reached even if the process is started fromdifferent starting points

Rate

fwd

= Rate

rev

Example:

N

2

O

4

(g; colorless)

2NO

2

(g; brown)

The reaction can be started from pure N

2

O

4

(g;

colorless) or from pure NO

2

(g; brown).

In both cases at equilibrium, the same light-browncolor is reached (the same proportion of N

2

O

4

and

NO

2

is produced)

The reaction has a single step mechanism (theforward and reverse reactions are elementary), so atequilibrium: Rate

1

= Rate

-

k

1

[N

2

O

4

] =

k

-

[NO

2

]

2

]

O

[N

]

[NO

4

2

2

2

1 1

K

k

k

K

is a constant which depends

on

T

(

K

= 0.211 at 100

°

C)

K

determines the proportion of

N

2

O

4

and NO

2

at equilibrium

17.2 The Equilibrium Constant and theReaction Quotient

The Law of Mass-Action •

Equilibrium constant

(

K

)

  • For a general reaction

at equilibrium:^ a

A +

b

B

c

C +

d

D

b

a

d

c

c

K

e

e

e

e

[B]

[A]

[D]

[C]

=

K

c

is the

equilibrium constant

in terms of

concentration (depends on

T

and the specific reaction)

[A]

e

, [B]

e

, [C]

e

, and [D]

e

are the

equilibrium

concentrations

of the reactants and products

a

b

c

, and

d

are the

stoichiometric coefficients

of

the reactants and products

Reaction quotient (

Q

)

  • has the same mass-

action expression as

K

  • For a general reaction

at any given time:^ a

A +

b

B

c

C +

d

D

b

a

d

c

c

Q

[B]

[A]

[D]

[C]

Q

c

is the

reaction quotient

in terms of

concentration (

Q

c

varies during the reaction)

[A], [B], [C], and [D] are the

current

concentrations

of the reactants and products at any

given time during the reaction

When the current concentrations become equal to the equilibrium concentrations,

Q

c

= K

c

At equilibrium

Q = K

Example:

Write the mass action expression

for the reaction:

2H

2

(g)

  • O

2

(g)

2H

2

O

(g)

c

c

c

K

Q

rium

At equilib

Q

]

[O

]

[H

O]

[H

2

2

2

2

2

c

c

c

Q

Q

Q

[A][B]

[B][A]

The mass-action expressions for

Q

and

K

depend on the form of the chemical equation

A

B

or

B

A

Q

(or

K

) of the reverse reaction is the

reciprocal

of

Q

(or

K

) of the forward reaction

1. A + B

C

Q

1

= [C]/[A][B]

C

D

Q

2

= [D]/[C]

A + B

D

Q

c

= [D]/[A][B]

n

c

n n

c

c

Q

Q

Q

[B][A]

[B][A]

'^

A

B

or

n

A

n

B

Multiplying a reaction by a factor,

n

, raises

Q

(or

K

) to

n

th

power

c

Q

Q

Q

×

×

[A][B]

[D]

[D][C]

[A][B]

[C]

2

1

Q

(or

K

) of the sum of two or more reactions

is the

product

of their

Q

s (or

K

s)