Relationship between
Δ
r
Gº,
Δ
r
G, Q, and K
Fill in the blanks and boxes!!
At constant P and T and w
e
=0, dG is a criterion of spontaneity and dG =
(
Eqn 1
)
μ
ii
i
N
dn
=
∑
1
and for calculating
Δ
G or dG, we take G =
.
μ
i
N
n
=
∑
1
Consider the balanced chemical reaction at some arbitrary composition
a
A
+
b
B
⇔
cC +
dD
initial # of moles
n
A
n
B
n
C
n
D
infinitesimal change dn
A
dn
B
dn
C
dn
D
(if all dn
i
are positive)
d
ξ
=
dn
a
A
=
dn
b
B
=
dn
c
C
=
From
Eqn 1
, initial G = G
i
=
Final G = G
f
=
μ
A
(n
A
ad
ξ
) +
μ
B
(n
B
bd
ξ
)
+
μ
C
(n
C
+cd
ξ
) +
μ
D
(n
D
+dd
ξ
)
From the previous two equations
dG = G
f
 G
i
=
= d
ξ
(a
μ
A
b
μ
B
+ c
μ
C
+
d
μ
D
)
We can rewrite the equation above as
Δ
r
G =
∂
∂ξ
G
TP
⎛
⎝
⎜
⎞
⎠
⎟
,
= (a
μ
A
b
μ
B
+ c
μ
C
+
d
μ
D
)
=
(
c
μ
This is the end of the preview. Sign up
to
access the rest of the document.
This note was uploaded on 09/20/2011 for the course CHM 4411 taught by Professor Ohrn during the Spring '08 term at University of Florida.
 Spring '08
 OHRN
 Physical chemistry, pH

Click to edit the document details