56
HENRY EYRING, RICHARD P. BOYCE AND JOHN D. SPIKES
Likewise
βΡΦ = d/Q + d&
(101)
Thus,
This may be written
where
+ *& + *& O«0
dS = d e S + d ( S
(103)
d e S = ^0- + ^
(104)
represents the entropy flow, and
represents the entropy production arising from a transport of heat and
matter between the two phases, plus that from chemical reactions in
the two phases. By the Second Law, diS ^ 0. The rate of entropy production is therefore
diS A _ J_\ ^Φ _ V /μ£ _ μΑ d^l
dt \T« Τή dt
Δ/\Τ«
π) dt
(106)
Α
α ν
α
AW .
Comparing this to Eq. 84 we see that the form is the same, e.g., bilinear
in the rates and affinities.
D. ONSAGER'S THEORY (12)
We have made considerable effort to show that for many processes
the entropy production may be written in the form
ΤΘ = 2
J
f
X
*
(
107
)
We should now like to take a closer look at the J's by returning to our
model in Section II,C. Let us consider a reaction taking place within
the α-phase which produces a considerable amount of heat which must
HENRY EYRING, RICHARD P. BOYCE AND JOHN D. SPIKES
Likewise
βΡΦ = d/Q + d&
(101)
Thus,
This may be written
where
+ *& + *& O«0
dS = d e S + d ( S
(103)
d e S = ^0- + ^
(104)
represents the entropy flow, and
represents the entropy production arising from a transport of heat and
matter between the two phases, plus that from chemical reactions in
the two phases. By the Second Law, diS ^ 0. The rate of entropy production is therefore
diS A _ J_\ ^Φ _ V /μ£ _ μΑ d^l
dt \T« Τή dt
Δ/\Τ«
π) dt
(106)
Α
α ν
α
AW .
Comparing this to Eq. 84 we see that the form is the same, e.g., bilinear
in the rates and affinities.
D. ONSAGER'S THEORY (12)
We have made considerable effort to show that for many processes
the entropy production may be written in the form
ΤΘ = 2
J
f
X
*
(
107
)
We should now like to take a closer look at the J's by returning to our
model in Section II,C. Let us consider a reaction taking place within
the α-phase which produces a considerable amount of heat which must