aA bB ... lL mM ...

+

+ = +

+

 

∆

∆

G

G

RT

a a

a

a

L

l

M

m

A

a

B

b

=

+

⋅

⋅

⋅ ⋅

0

ln

...

...

 

gdy 

∆G=0 

to: 

∆G

RT

a a

a

a

L

l

M

m

A

a

B

b

0

= −

⋅

⋅

⋅ ⋅

ln

...

...

 

oraz:  K

a a

a

a

a

L

l

M

m

A

a

B

b

=

⋅

⋅

⋅ ⋅

...

...

 

w gazach: K

P

P

P

P

P

P

P

P

p

L

l

M

m

A

a

B

b

=

⋅

⋅

⋅

⋅

(

/

) (

/

) ...

(

/

) (

/

) ...

0

0

0

0

 

K

c c

c c

RT

P

K

RT

P

p

L

l

M

m

A

a

B

b

n

c

n

=

⋅

⋅

⋅ ⋅

⋅











=

⋅











...

...

0

0

∆

∆

 

K

x

x

x

x

P

P

K

P

P

p

L

l

M

m

A

a

B

b

n

x

n

=

⋅

⋅

⋅ ⋅

⋅











=

⋅











...

...

0

0

∆

∆

 

n

n

n

b

B

a
A

m

M

l

L

p

n

P

P

K

n

P

P

n

n

n

n

K

∆

∆













Σ

⋅

⋅

=













Σ

⋅

⋅

⋅

⋅

⋅

⋅

=

0

0

...

...

 

gdzie:  

∆

n = l + m + ... - (a + b + ...) 

wyłącznie odnośnie reagentów gazowych

 

K

c c

c c

K

a

L

l

M

m

A

a

B

b

L

l

M

m

A

a

B

b

c

i

i

=

⋅

⋅

⋅ ⋅

⋅

⋅

⋅

⋅

⋅

=

⋅

...

...

...

...

γ

γ

γ

γ

γ

ν

Π

 

d

K

dT

H

RT

a

ln

=

∆

0

2

       

d

K

dT

H

RT

p

ln

=

∆

0

2

 

d

K

d

T

H

R

a

ln

1

0

= −

∆

  

d

K

d

T

H

R

p

ln

1

0

= −

∆

 

jeśli założymy niezależność 

∆H

0

 od temperatury:

to: 

 

ln

K

K

H

R

T

T

2

1

0

2

1

1

1

= −

−











∆

 

 

 

aA bB ... lL mM ...

+

+ = +

+

 

∆

∆

G

G

RT

a a

a

a

L

l

M

m

A

a

B

b

=

+

⋅

⋅

⋅ ⋅

0

ln

...

...

 

gdy 

∆G=0 

to: 

∆G

RT

a a

a

a

L

l

M

m

A

a

B

b

0

= −

⋅

⋅

⋅ ⋅

ln

...

...

 

oraz:  K

a a

a

a

a

L

l

M

m

A

a

B

b

=

⋅

⋅

⋅ ⋅

...

...

 

w gazach: K

P

P

P

P

P

P

P

P

p

L

l

M

m

A

a

B

b

=

⋅

⋅

⋅

⋅

(

/

) (

/

) ...

(

/

) (

/

) ...

0

0

0

0

 

K

c c

c c

RT

P

K

RT

P

p

L

l

M

m

A

a

B

b

n

c

n

=

⋅

⋅

⋅ ⋅

⋅











=

⋅











...

...

0

0

∆

∆

 

K

x

x

x

x

P

P

K

P

P

p

L

l

M

m

A

a

B

b

n

x

n

=

⋅

⋅

⋅ ⋅

⋅











=

⋅











...

...

0

0

∆

∆

 

n

n

n

b

B

a
A

m

M

l

L

p

n

P

P

K

n

P

P

n

n

n

n

K

∆

∆













Σ

⋅

⋅

=













Σ

⋅

⋅

⋅

⋅

⋅

⋅

=

0

0

...

...

 

gdzie:  

∆

n = l + m + ... - (a + b + ...) 

wyłącznie odnośnie reagentów gazowych

 

K

c c

c c

K

a

L

l

M

m

A

a

B

b

L

l

M

m

A

a

B

b

c

i

i

=

⋅

⋅

⋅ ⋅

⋅

⋅

⋅

⋅

⋅

=

⋅

...

...

...

...

γ

γ

γ

γ

γ

ν

Π

 

d

K

dT

H

RT

a

ln

=

∆

0

2

       

d

K

dT

H

RT

p

ln

=

∆

0

2

 

d

K

d

T

H

R

a

ln

1

0

= −

∆

  

d

K

d

T

H

R

p

ln

1

0

= −

∆

 

jeśli założymy niezależność 

∆H

0

 od temperatury:

to: 

 

ln

K

K

H

R

T

T

2

1

0

2

1

1

1

= −

−











∆