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Pure & Appl. Chern., Vol. 65, No. 12, pp. 2613-2640, 1993. Printed in Great Britain. @ 1993 IUPAC
INTERNATIONAL UNION OF PURE AND APPLIED CHEMISTRY
PHYSICAL CHEMISTRY DIVISION COMMISSION ON ELECTROCHEMISTRY:':
MUTUAL DIFFUSION COEFFICIENTS IN AQUEOUS ELECTROLYTE SOLUTIONS
(Technical Report)
Prepared for piiblicatioti by
VICTOR M. M. L O B 0
Department of Chemistry, University of Coimbra, P-3000 Coimbra. Portugal
'"Membership of the Commission during the period the report was prepared ( l Y 8 Y - I Y Y 1) was as follows: Chaiiinaii: G . Gritzner (Austria): Secrerary: G. S. Wilson (USA): Tinilor Meinhers: D. Landolt (Switzerland): V. M. M. Lob0 (Portugal): W. Plieth (FRG): Margaretha Sluyters-Rehbach (Netherlands): K. Tokuda (Japan): Associate Meinbers: C. P. Andrieux (France): Yu. A. Chizmadzhev (USSR): B. E. Conway (Canada): J . Koryta (Czechoslovakia): G. Kreysa (FRG): 0. A. Petrii (USSR): D. Pletcher (UK): M. J . Weaver (USA): Nnrioiial Rej)reseiircrri~~e.s: A. J. Arvia (Argentina): T. Biegler (Australia): H. D. Hunvitz (Belgium): D. Pavlov (Bulgaria): G . Horanyi (Hungary): S. K. Rangarajan (India): E. Gileadi (Israel): S . Trasatti (Italy): T. Watanabe (Japan): G. A. Wright (New Zealand); W. Paik (Republic of Korea): C. Gutierrez (Spain): D. Simonsson (Sweden): M. L. Berkem (Turkey): A. K. Covington (UK) : D. Drazic (Yugoslavia).
Names of countries given after members' names are in accordance with the lUPAC Hotidhook 1991-1993: changes will be effected in the 1993-1Y95 edition.
Mutual diffusion coefficients in aqueous electrolyte solutions (Technical Report)
Abstract - Published mutual diffusion coefficient data for aqueous electrolyte solutions are presented. Coefficients of a selected function useful for calculation of diffusion coefficient values at specified concentrations are given.
INTRODUCTION
Concentration differences within a solution, free from convection currents, produce a spontaneous flow of matter which tends to reduce those concentration differences. This phenomenon is called diffusion. In the case of a binary system such as a solution of a single electrolyte (solvent: index 1; electrolyte (solute): index 2) diffusion is described by (one) diffusion coefficient D according to Fick's first law of diffusion (1855):
Jj = - D grad Cj (i=l,2) (1) where
wJj= molar flow of substance i measured relative to a volume-fixed reference frame, i.e. the amount of substance i crossing per unit of time a unit area of a suitable chosen reference plane moving with a velocity equal to the local mean velocity w of the volume element of the solution, velocity which is taken as representative of the convection velocity of the system (In experimental setups to obtain D usually care is taken that w = 0 so that the experiment is performed in convection-free conditions).
grad Cj= gradient of the molarity (molar volume concentration) of substance i.
,
The diffusion coefficient D corresponds to the solution which means that it is the same for both the electrolyte and the solvent. Certainly the diffusion process involves both substances as it consists in a mutual interdiffusion of solute and solvent. A diffusional flow of the electrolyte always implies a diffusional counterflow of the solvent such that
V 2 . w J 2 = - V 1 . wJ1
and in the same way for a gradient of concentration of the electrolyte there always exists a
2614
Mutual diffusion coefficienrs in aqueous electrolyte solutions 261 5
gradient of concentration of the solvent in the opposite direction such that
v 2 . grad c2 = - V1 . grad c i
There does not exist a diffusion of a single substance, although one usually only visualizes or follows or is interested in the diffusional displacement of the electrolyte (solute).
Data on volume-fixed frame mutual diffusion coefficients of aqueous electrolyte solutions published in the literature are shown in Table 1.
The following polynomial in c1l2 was fitted to the data by least squares
D/(10-9 m2 s-l) = a. + al [c/(mol dm-3)]1/2 + a2 [c/(mol dm-3)] + a3 [c /(mol dm-3)]3/2 + a4 [c /(mol dm-3)]2
where the coefficients ao, al, a2, a3 and a4 are adjustable parameters.
Table 2 shows the coefficients a. to a4 of equation 2. They may be used to calculate values of diffusion coefficients at specified concentrations within the range of the experimental data shown in Table 1 and eventually to compare data from different laboratories. The goodness of the fit can be assessed by the root mean square deviation (r.m.s.d.) calculated with a minimum of 5 experimental data points.
Data in the molality scale were converted to the molarity scale according to
where q =
m2 =
P = M2 =
c2=m2 . p l ( 1 + m 2 . M2)
solute amount (molar volume) concentration (molar ity) molality of the solute density of the solution molar mass of the solute
and the following units are recommended for using equation 3:
(3)
c2/(mol dm-3) = m 2 / (mol k g - l ) . p / (g or kg dm-3) (4) 1 + m 2 / (mol k g - l ) . M 2 / (kg m o l - l )
261 6 COMMISSION ON ELECTROCHEMISTRY
v) z I- 3 -I 0 v)
w !- >. 0 I- 0 w A W
v) 3
3
0
a
s a a z v) I- z w 0 L L w 0 0
oco b m O N u?z
0 o,b m a m o 7'4
b m o Oco LnT - -
c o o l m c o 0 - z z
m N N O a, r co(D c o m o, (0 - - N O b m c o w m c o P - m - N m a , (Do, 0 - O b O b (Do 0 0 (D O N O b - 0 o m o(D 8 " 22 Lns Lna, 0 0 - - 9 "
7 o r - O r 9 , 0 ; O r 2 2 2 9 9" " 9
r r r O r
- b 0 - o, d 0 - o m - m co m - I - b ;N o w b r G N oco 2 g ? T-?
(DN cob O r
N b Nl- r m o m o m O b 0 0 c u m No, o m 8 " 0 0 o m - Y o(D
c 0 -
m w m - oco m o , rum o m
Mutual diffusion coefficients in aqueous electrolyte solutions 261 7
0 3 0 3 a 0 0 3 0 m r or cir cir or I b b N O O ? 2; m r t r 0 3 0 r r
or 0 El rQ! 0 0
cn-
o & or
b - m o m m t- r m o w m m o w 0 7 0 0 m~ .-m w c u m m w o m o r o m O N btr O N O m O N O r O r O N O r N N O N O m Ov) b N b b m m N m N t m m m m z m 0 0 3 r r 0 0 N O
Tabl
e 7
(con
fd.)
DIF
FU
SIO
N
CO
EF
FIC
IEN
TS
IN
A
QU
EO
US
E
LEC
TR
OLY
TE
S
OLU
TIO
NS
c
/(mot
drn
d3);
m/(m
ol k
g-');
D
l(10-
9 m*
s-1)
CdB
r2
25°C
(r
ef. 6
1)
CdC
12
25°C
(r
ef. 1
8)
CdC
12
25°C
(r
ef. 8
0)
CdC
12
25°C
(r
ef. 6
2)
Cd(
C10
4)2
25°C
(r
ef. 8
0)
Cdl
p 25
°C
(ref
. 17)
Cdl
2 25
°C
(ref
. 75)
Cdl
2 25
°C
(ref
. 59)
Cd(
N02
)2
25°C
(r
ef. 6
0)
Cd
S0
4
25°C
(r
ef. 1
8)
Cd
S0
4
25°C
(r
ef. 6
3)
Cd
S0
4
45°C
(r
ef. 6
5)
CSC
l 25
°C
(ref
. 28)
CSC
l 25
°C
(ref
. 66)
-
C D C D c D
C D c D C D c D C D c D
C D c D
m
D C D c D - 0.
020
0.95
4
0.00
1 1.
022
0.05
0.
980
0.10
0 0.
902
0.05
1.
052
0.00
96
0.87
3
0.05
0.
805
0.01
1.
203
0.01
1.
035
0.00
1 0.
916
0.10
0 0.
523
0.05
02
0.95
0
.001
22
2.00
7
0.06
25
1.8
87
6.00
0 2.
335 - 0.
010
0.90
5
0.00
3 0.
988
0.1
0.93
4
0.08
0 0.
921
0.1
1.05
3
0.04
14
0.85
5
0.07
0.
792
0.02
1.
194
0.02
1.
020
0.00
3 0.
886
0.08
0 0.
543
0.09
18
0.90
1
.001
31
2.01
2
0.09
00
1.87
4
0.0
05
0.
890
0.00
5 0.
961
0.2
0.87
7
0.05
0 0.
946
0.2
1.07
5
0.08
0 0.
824
0.10
0.
777
0.03
1.
186
0.03
0
.99
3
0.00
5 0.
864
0.0
50
0.
550
0.1
828
0.82
3
,001
34
2.01
1
0.16
00
1.85
9
0.00
3 0.
995
0.01
06
0.92
1
0.3
0.83
6
0.03
0 0.
982
0.3
1
.lo
3
0.08
3 0.
834
0.15
0.
759
0.05
1.
075
0.05
0.
971
0.0
07
0.
842
0.03
0 0.
588
0.50
05
0.69
5
.001
79
2.0
02
0.2
50
0
1.85
5
0.00
2 1.
220
0.01
48
0.88
4
0.4
0.
803
0.02
0 1.
003
0.4
1.13
5
0.12
1 0
.80
8
0.20
0.
745
0.08
0.
933
0.08
0.
951
0.01
21
0.78
9
0.02
0 0.
591
.002
66
1.99
0
0.36
00
1.85
5
0.00
1 1.
337
0.02
31
0.86
8
0.5
0.77
7
0.01
0 1.
025
0.5
1.1
73
0.16
0 0.
807
0.25
0.
736
0.1
0
0.86
9
0.10
0.
896
0.02
1 1
0.76
1
0.01
0
0.60
2
.002
75
1.98
8
0.64
00
1.86
8
0.03
91
0.82
0
0.6
0.75
7
0.00
8 1.
027
0.6
1.21
4
0.29
2 0.
768
0.30
0.
728
0.20
0.
970
0.03
51
0.74
2
0.00
8 0.
623
.003
14
1.99
4
1 .ooo
1
.90
2
0.05
90
0.79
5
0.7
0.
742
0.00
5 1.
048
0.7
1.26
2
0.50
0 0.
785
0.35
0.
723
0.05
90
0.71
9
0.00
3 0.
635
.003
68
1.9
90
1.96
0 2.
023
0.8
0.72
9
0.0
03
1.09
1
0.8
1.
319
0.94
7 0.
809
0.40
0.
720
0.00
2 0.
642
,008
49
1.96
5
3.06
0 2.
183
0.9
0.72
0
0.00
2 1.
101
0.9
1.39
31
1.10
0.
861
0.45
0.
71 9
3.00
1 3.
648
01 2
87
1.94
6
4.0
00
2.29
1
1 .o
3.71
3
0.00
1 1.
139
1 .o
1.48
1
1.15
3.
881
3.50
3.
720
5.000
2.36
4
1.60
1.
727
5.75
0 2.
354
N
03
2
0
0 z s v
) v) 0
2
0
Z
rn
rn
0
-i
W
0
0 I
rn
v) 4
n
< - r 5
Tab
le 7
(co
nfd
.)
DIF
FU
SIO
N
CO
EFF
ICIE
NTS
IN
A
QU
EO
US
E
LE
CT
RO
LY
TE
S
OL
UT
ION
S
c /(r
nol d
m-3
); rn
/(mol
kg-
l);
D/(I
O-~
m2s-
1)
CS
Cl
25°C
(r
ef. 1
0)
Csl
25
°C
(ref
. 55)
&N
O3
25°C
(r
ef. 3
6)
cs
2s
o4
cu
so
4
25°C
(r
ef. 2
6)
25°C
(r
ef. 1
4)
cu
so
4
cu
so
4
cu
so
4
25°C
(r
ef. 1
3)
25°C
(r
ef. 9
6)
25°C
(r
ef. 7
0)
HB
r 25
°C
(ref
. 84)
CH
3CO
OH
25
°C
(ref
. 91)
-
C D C D
C D C D
C D
C D
C D
C D
C D
C D
- 0.
2500
1
.85
50
0.0
01
1
.96
6
.007
70
1.90
7
.000
96
1.4
90
0.0
02
8
0.74
74
0.02
80
0.62
08
0.35
00
0.52
31
0.1
0
0.56
4
0.01
0.
713
0.00
20
0.72
72
0.19
86
0.51
76
0.0
5
3.15
6
0.0
42
8
1.21
2
4.96
04
0.72
85
16.8
91
0.76
2 - 0.
5000
1
.a60
0
0.00
2 1.
923
. 0 1
378
1.88
6
.001
02
1.4
84
0.00
42
0.73
14
0.03
08
0.61
59
0.20
0.
537
0.04
0.
632
0.00
39
0.70
18
0.24
92
0.49
88
0.1
3.
146
0.09
71
1.2
00
6.04
30
0.67
75
15.8
64
0.55
6 - 0.
7000
1
.87
1 0
0.00
5 1.
866
.014
12
1.87
1
.001
12
1.48
9
0.00
56
0.71
59
0.03
36
0.61
13
0.25
0.
523
0.08
0.
587
0.00
50
0.69
27
0.35
84
0.46
70
0.2
3.19
0
0.19
68
1.18
4
8.04
81
0.61
1
1 .o
ooo
1.90
20
0.00
8 1.
800
.001
20
1.4
82
0.00
70
0.70
49
0.0
36
4
0.60
79
0.3
5
0.4
95
0.16
0.
547
0.00
75
0.68
08
0.41
48
0.45
81
0.3
3.24
9
0.23
74
1.1
77
8.91
61
0.
5865
1.50
00
1.96
00
.001
50
1.47
0
0.00
84
0.69
22
0.04
20
0.60
12
0.40
0.
486
0.25
0.
51 3
0.01
25
0.66
61
0.41
75
0.45
53
0.5
3.
388
0.33
14
1.16
2
9.75
02
0.57
85
2.00
00
2.02
90
.002
48
1.44
2
0.00
98
0.68
05
0.07
00
0.57
86
0.60
0.
445
0.3
60
0.
484
0.01
89
0.64
39
0.48
57
0.44
09
0.7
3.5
52
0.42
1 4
1.15
3
12.4
05
0.56
8
2.50
00
2.10
30
.002
51
1.44
1
0.01
12
0.67
26
0.09
80
0.56
44
0.80
0.
424
0.49
0 0.
456
0.02
23
0.63
86
0.63
70
0.41
77
1 .o
3.
869
0.75
72
1 .lo
85
17.3
50
1.07
5
3.00
00
2.17
50
.003
78
1.43
5
0.01
26
0.66
46
0.14
00
0.54
93
1 .o
0.40
7
0.64
0 0.
432
0.02
39
0.63
69
0.80
51
0.39
97
1.51
87
1.02
1
17.3
25
1.02
0
,004
68
1.41
9
0.01
40
0.65
79
0.16
80
0.54
18
1.2
0.39
5
0.81
0 0.
41 3
0.05
18
0.60
06
0.98
03
0.38
38
2.00
30
0.97
12
17.3
04
1.0
13
,004
72
1.42
4
D.0
154
3.64
97
3.21
00
D.5
349
1.40
4 3.
383
1.0
00
3.
399
3.07
81
3.57
77
1.17
03
D.3
705
3.04
46
3.87
7
17.2
82
D.9
686
3.01
96
3.63
75
3.25
20
3.53
12
1.21
0 3.
391
3.1
172
3.55
44
1 -2
46
4
3.36
63
3.66
74
3.82
1
17.1
97
3.94
7
3.02
58
3.62
70
3.28
00
3.52
38
1.44
0 3.
390
3.12
92
3.54
67
1.27
72
3.36
56
3.67
99
3.81
7
17.0
93
3.82
5
Tabl
e 7
Ic0n
rd.l
DIF
FU
SIO
N
CO
EFF
ICIE
NTS
IN
A
QU
EO
US
E
LE
CT
RO
LY
TE
S
OLU
TIO
NS
c /(m
l dm-3
); rn
I(m
l kg-
’);
Dl(1
0-9
m*
5-1)
CH
3CO
OH
25
°C
(ref
. 40
CH
3CO
OH
25
°C
(ref
. 50
CH
3CO
OH
35
°C
(ref
. 91
HC
I 10
°C
(ref
. 41
HC
I 15
°C
(ref
. 41
HC
I 25
°C
(ref
. 41
HC
I 25
°C
(ref
. 42
HC
I 25
°C
(ref
. 84
HC
I 25
°C
(ref
. 37
HC
I 25
°C
(ref
. 52
HC
I 25
°C
(ref
. 45
HC
I 35
°C
(ref
. 41
-
r/l@
D
dl@
D
C D
C D
C D
C D
C D
C D
C D
C D
C D
C D - 0.
945
1.29
1
1.7
6
1.24
5
0.17
69
1.51
5
0.02
2.
05
0.02
2.
35
0.02
2.
97
0.02
1 8
3.0
0
1.71
3 4.
08
0.0
5
3.0
73
4.0
5.1
7
0.00
63
3.21
7
0.00
5 3.
21 8
0.1
3.05
0
0.02
3.
66
2.13
1.
284
3.51
1.
227
0.42
00
1.46
4
0.05
2.
02
0.05
2.
33
0.05
2.
93
0.03
12
2.98
0.1
3.05
0
0.01
13
3.17
3
0.00
8 3.
177
0.2
3.06
4
0.05
3.
61
6.72
1.
250
5.30
1.
226
0.42
36
1.46
4
0.10
2.
03
0.10
2.
33
0.10
2.
92
0.05
42
2.96
0.2
3.06
4
0.01
44
3.16
0
0.01
3.
165
0.5
3.1
84
0.10
3.
60
7.68
1.
251
6.15
1.
21 8
0.66
36
1.42
4
0.20
2.
05
0.20
2.
35
0.20
2.
98
0.05
73
2.96
0.3
3.
093
0.01
54
3.14
7
0.02
3.
149
1 .o
3.43
6
0.20
3.
65
16.3
1.
239
9.70
1.
215
0.98
16
1.37
7
0.35
2.
1 1
0.35
2.
40
0.35
3
.06
0.1
143
2.93
0.5
3.18
4
0.01
88
3.13
3
0.03
3.
116
1.5
3.74
3
0.35
3.
77
22.3
1.
213
20.2
0 1.
221
1.77
80
1.27
0
0.50
2.
45
0.50
3.
18
0.21
0 2.
95
0.7
3.28
6
0.01
99
3.14
9
0.05
3.
060
2.0
4.04
6
36.6
1.
221
42.8
0 1.
212
0.75
2.
56
0.75
3.
37
0.27
3 2.
98
1 .o
3.43
6
0.02
1 6
3.13
6
0.08
3.
031
2.5
4.33
7
42.8
1.
212
97.1
0 1.
200
1 .oo
2.
68
1 .oo
3.
58
0.53
9 3.
16
1.5
3.74
3
0.02
47
3.12
9
0.1
3.01
7
3.0
4.65
8
55.5
1.
207
).a4
5 5.
40
!.O
1.04
6
).02
86
5.12
2
5.5
1.92
0
97.1
1
.20
0
1.09
0 3.
59
2.5
4.33
7
9.03
4 3.
1 1
4.0
5.17
1.29
9 3.
79
3.0
4.65
8
3.05
3.
07
1.35
3 3.
82
3.5
1.92
0
N
a
h) 0
0
0 z v
) E?
0
2 0
Z
rn
rn 0
-I
I) 0
0
1
rn 5 r 5 v
) -I n
<
Tabl
e I
Icon
td.1
D
IFF
US
ION
C
OE
FF
ICIE
NT
S
IN
AQ
UE
OU
S
EL
EC
TR
OL
YT
E
SO
LU
TIO
NS
c /(m
l dm-3
); rn
/(mol
kg-
');
D/(
10-9
m2s
-l)
HC
104
25°C
(re
f. 21
)
H2C
r04
20°C
(re
f. 12
)
HN
O3
25°C
(r
ef. 2
1)
H3
P0
4
25°C
(r
ef. 1
1)
H3
P0
4
25°C
(r
ef. 4
7)
H2S
04
10°C
(r
ef. 3
8)
H2S
04
15°C
(r
ef. 3
8)
H2S
04
25°C
(r
ef. 4
2)
H2S
04
25°C
(r
ef. 83)
C D
C D
C D
C D
dl0
-j
D
C D
C D
C D
C D
0.2
2.67
1.8
3.
98
0.84
7 1.
542
0.5
2.6
04
3.0
3.
055
9.0
2.
581
0.03
60
1.04
1
3.94
0 0
.79
73
1.2
0
1.40
5
39.7
1.
028
0.02
69
1.2
70
0.02
53
1.47
5
0.01
04
2.1
0
0.10
12
1.82
5
2.68
24
2.48
4 - 0.
3 2.
76
2.0
4.15
1.6
94
1.
500
0.6
2.62
7
3.5
3.09
4
9.5
2.53
8
0.03
62
1.04
3
4.87
2 0.
7846
1.80
1.
348
48.6
1.
020
0.07
62
1.21
0
0.05
02
1.44
5
0.02
43
1.88
0.19
78
1.80
0
3.44
77
2.70
5 - 0
.4
2.84
2.5
4.55
2.54
2 1.
419
0.7
2.65
2
4.0
3.10
1
10.0
2.
505
0.04
86
1.02
0
5.65
0 0.
7693
2.84
1.
298
62.6
1.
003
0.1
497
1.21
0
0.1
584
1.3
85
0.02
56
1.89
0.29
56
1.79
5
4.80
46
2.85
5 - D
.5
2.92
3.0
4.
93
3.38
9 1
.27
5
D.8
2.
675
4.5
3.09
0
0.07
14
0.99
1 2
6.43
9 0.
7454
4.26
1.
229
62.9
1.
002
0.3
49
3
1.22
0
0.34
69
1.39
5
0.05
24
1.90
0.39
27
1.80
9
D.6
3.
00
3.5
5.34
4.23
7 1.
710
D.9
2.
700
5.0
3.05
4
0.07
1 7
0.99
46
7.77
2 0.
6879
5.68
1.
216
71.4
0.
991
0.74
65
1.3
00
0.34
93
1.40
0
0.14
74
1.80
0.49
68
1.81
8
D.7
3.
08
4.0
5.73
5.08
4 1.
092
1 .o
2.72
0
5.5
3.00
3
0.14
22
0.91
21
8.94
0 0.
6263
7.10
1.
162
71.7
0.
994
0.55
95
1.43
0
0.30
47
1.85
0.58
52
1.83
5
3.8
3.16
4.5
5.14
5.93
1 1
.23
3
1.2
2.76
5
6.0
2.94
4
0.21
43
0.89
03
10.2
38
0.53
02
8.56
1.
153
82.6
0.
990
0.74
13
1.46
5
0.45
56
1.88
0.77
90
1.89
5
3.9
3.22
5.0
5.47
5.77
9 1.
31 0
1.4
2.80
6
6.5
2.87
5
0.35
86
0.86
93
13.5
27
D.3
043
13.8
1.
104
0.75
17
1.99
0.96
37
1.96
4
1 .o
3.32
7.62
6 1.
370
1.6
2.84
5
7.0
2.80
5
0.49
92
0.85
30
15.9
92
D.1
322
22.7
1.
060
1.05
4 2.
22
1.14
76
1.99
3
1.2
3.48
3.47
8 1.
630
1.8
2.88
1
7.5
2.74
1
1.08
46
3.82
97
22.7
1.
061
1.06
4 2.
1 0
1.43
30
2.07
5
I .4
3.
65
2.0
?.91
5
3.0
2.68
2
1.91
12
3.81
47
36.0
1.
041
I ,83
08
2.20
9
-
I .6
3.82
2.5
2.99
2
3.5
2.62
9
2.64
3 3.
8037
36.2
1.
043
2.27
90
2.34
2
Tabl
e 7
(co
ntd
.)
DIF
FUS
ION
C
OE
FFIC
IEN
TS
IN
AQ
UE
OU
S E
LE
CT
RO
LY
TE
S
OLU
TIO
NS
c /(m
l dm-3
); m
/(mol
kg-’)
; D
l(lV
g m
2 5-
l)
i2s04
25°C
(r
ef. 46)
i2s04
35°C
(r
ef. 3
8)
25°C
(r
ef. 1
7)
<Br
25°C
(r
ef. 8
4)
<CI
1°C
(r
ef. 8
9)
<CI
1°C
(r
ef. 2
3)
<CI
15°C
(r
ef. 6
5)
<CI
18°C
(r
ef. 8
2)
KC
I 18
°C (
ref.
89)
KC
I 20
°C
(ref
. 32)
KC
I 20
°C
(ref
. 722
-
Yl
b
D C D C D C D C D C D m D C D C 0
C D C D - 0.
35
2.40
2
40
.0
1.87
5
0.02
53
2.33
0
0.03
04
1.02
0.05
1.
892
4.0
2.
434
0.09
96
0.92
4
0.01
66
1.
080
1 1.48
3
0.05
1.
55
4.0
2.1
3
0.06
38
1.56
9
2.32
42
1.73
0
0.0
01
2 1.
736
0.0
67
1.
650 - 0.
70
2.34
2
BO.0
1.
828
0.04
75
2.29
0
0.06
83
1.02
0.1
1.87
4
0.19
88
0.92
0
0.16
8 1.
038
2 1.57
2
0.1
1.52
0.09
95
1.56
0
2.74
89
1.77
8
0.00
24
1.72
45
0.19
1 1.
595 - ~~
1 .oo
2.
310
100.
0 1.
818
0.15
21
2.26
5
0.10
0 1.
01
0.2
1.87
0
0.29
46
0.92
1
0.30
7 1.
036
3 1.66
3
0.2
1.50
0.1 4
90
1.5
52
3.1
602
1.82
2
0.00
36
1.71
9
0.67
0 1
.58
6 - 1.
58
2.26
8
101.
2 1
.82
5
0.35
04
2.28
0
0.13
6 0.
99
0.3
1.
872
0.39
56
0.92
4
0.37
9 1.
037
4 1.74
3
0.4
1.50
0.20
34
1.5
50
3.34
81
1.8
43
0.00
45
1.70
9
1.34
0 1.
655
3.00
2.
166
150.
0 1.
81 1
3.75
00
2.43
0
3.16
7 1 .
oo
3.5
1.88
5
3.49
53
3.92
8
0.55
8 1.
042
0.6
1.53
0.29
69
1.5
51
0.01
12
1.68
85
2.01
0 1.
721 -
~~
1.57
2.
112
197.
8 1.
81 1
3.7
1.91
7
3.59
05
3.93
3
0.8
1.55
0.39
48
1.55
2
2.68
0 1.
773 - 5.00
2.07
4
200.
0 I .800
1 .o
I .97
5
1.97
41
1.96
0
1 .o
1.58
3.58
89
1.56
4
3.35
0 1.
810
3.00
2.
034
I .5
2.06
2
1.44
12
1.99
8
1.5
1.
65
3.78
00
1.58
0
4.45
0 1.
940
10.8
1.
978
2.0
2.13
2
1.89
51
1.03
4
?.O
1.
74
3.93
26
1.59
3
19.5
1.
933
2.5
2.19
9
2.33
49
1.07
4
2.5
1.83
1.13
38
1.6
12
28.2
1.
896
3.0
2.2
80
2.76
31
1.10
9
3.0
1.
93
1.4
32
6
1.64
0
37.0
I .
874
3.5
t.354
3.5
1.03
1.88
64
I .68
5
h)
m
h)
N
0
0 < v)
v, 0 z
0 z
rn
rn
0
-i W
0
0 s r 5 5 v) -I W <
Tabl
e I
Icon
td.1
D
IFF
US
ION
C
OE
FF
ICIE
NT
S IN
AQ
UE
OU
S
EL
EC
TR
OL
YT
E
SO
LU
TIO
NS
c
/(rno
l drn
”);
m/(m
ol k
g-l);
D
l(10-
9 tn
2 s-
1)
KC
I 25
°C
(ref
. 82)
KC
I 25
°C
(ref
. 86)
KC
I 25
°C
(ref
. 32)
KC
I 25
°C
(ref
. 19)
KC
I 25
°C
(ref
. 16)
KC
I 25
°C
(ref
. 67)
KC
I 25
°C
(ref
. 6)
KC
I 25
°C
(ref
. 7)
KC
I 25
°C
(ref
. 76)
KC
I 30
°C
(ref
. 32)
KC
I 35
°C
(ref
. 651
-
C
D
C
D
C
D
C
D
C D
C
D
C D
C
D
C
D
C D
m
D - 3.
1 1.
89
3.3
1.60
7
3.00
12
1.96
1
3.12
98
1.83
8
3.10
00
1 .a5
12
3.05
1.
897
3.00
01
1.98
4
2.0
t .99
9
3.5
1.85
0
3.40
83
1.84
2
3.01
360
1 .go
1 7
2.10
130
2.01
36
D.0
032
2.17
2
1 2.34
0
0.2
1.88
1 .o
1.65
0
0.00
1 9
1.95
4
0.33
23
1.84
2
0.22
50
1 .a3
82
0.1
1.87
3
0.0
00
5
1.97
1
2.5
2.06
5
1 .o
1.89
2
0.51
53
1.83
7
0.02
249
1.8
85
0
2.34
790
2.03
71
0.00
65
2.15
4
2 2.44
3
0.5
1.83
0.00
32
1.94
3
0.52
76
1.85
2
0.33
1 9
1 .a4
00
0.2
1.85
9
0.00
1 1.
964
3.0
2.11
2
1.5
1.94
3
0.08
854
1.85
33
2.63
480
2.06
90
0.00
89
2.14
6
3 2.54
7
1 .o
1
.86
0.0
058
1.93
1
0.5
00
0
1.8
49
7
0.3
1.84
9
0.0
05
1.
933
2.0
1.99
9
0.09
932
1 .a
477
2.87
550
2.09
62
0.01
23
2.13
9
4 2.6
30
1.5
1.99
0.00
70
1.92
4
1 .oo
oo
1 .a9
23
0.5
1.8
40
0.01
1.
915
3.0
2.11
2
0.15
859
1 .a3
82
3.23
140
2.13
25
!.O
!.31
1.00
98
1.91
8
I .50
02
I .94
27
1.05
I .
864
1.2 0
683
I .a3
79
3.9
0040
1.
1 961
1.01
26
I .90
8
1.00
03
I .99
94
1.1
1.84
7
). 2
748
5 I .
a376
1.04
590
?.20
88
1.02
65
I .87
9
!.500
4 ! .
0569
1.2
I ,83
8
1.73
156
I .a6
84
1.03
99
1.87
7
3.00
08
1.1
120
1.5
I .850
1.99
928
I .a9
18
0.04
62
1.87
2
3.50
08
2.16
03
0.7
1.86
5
1.24
840
1.91
58
0.05
45
1.86
0
3.90
08
2.19
56
1 .o
1.89
2
1.61
010
1.95
91
3.06
07
1.85
6
1.5
1.94
3
TaN
e 1
fco
ntd
) D
IFFU
SIO
N C
OE
FFIC
IEN
TS I
N A
QU
EO
US
ELE
CTR
OLY
TE S
OLU
TIO
NS
c
/(mol
m/(
d kg-l);
0/(1
@ n
? s-1)
KC
I 35%
(mf.
89)
KC
I 35%
(ref
.15)
KC
I 45%
(ref
.&)
KC
I 45%
(ref
.15)
KC
I 50
°C (
ref.8
9)
KC
104
25%
(r
ef.5
3)
K2c
m4
20°C
(re
f.12)
K2C
r207
20
%
(ref
.12)
KF
25
°C
(ref
.74)
K2H
P04
25
%
(ref
.48)
KI
25%
(r
ef.9
)
KIO
3 25
%
(ref.
18)
7
C 0
m 0
m 0
m 0
C 0
C 0
C
D
C
D
C D
C
D
C 0
C
D - 0.
0594
2.
31 4
2.30
97
2.48
4
D.1
0 2.
370
1 2.82
5
D.1
0 2.
797
D.0
983
3.06
7
1.86
33
3.19
4
D.O
1 1.
827
0.38
6 1.
870
D.1
69
D.6
90
D.O
O1
1.64
1
D.1
000
0.95
9
0.00
20
1.23
2
0.05
1.
891
0.01
87
1.29
2
0.09
90
2.29
1
2.72
08
2.53
0
0.20
2.
320
2 2.92
9
0.20
2.
779
0.1
907
3.03
0
2.29
52
3.25
0
0.02
1.
798
0.77
2 1.
564
0.25
4 0.
520
0.00
20
1.64
3
0.10
54
1.56
7
0.00
41
1.19
0
0.1
1.86
5
0.02
06
1.28
5 - 0.
1 97
9 2.
273
3.1
385
2.57
7
0.50
2.
31 1
3 3.03
6
0.50
2.
779
0.1
962
3.03
5
2.71
34
3.31
5
0.03
1.
763
1.03
0 1.
230
0.33
9 0.
285
0.00
44
1.63
9
0.00
61
1.18
3
0.2
1.85
9
0.02
27
1.28
1 - 0.
2955
2.
274
3.54
1 1
2.62
5
1 .oo
2.
345
4 3.11
6
1 .o
o 2.
822
0.24
48
3.02
5
3.12
05
3.35
5
0.08
1.
676
1.28
7 1.
054
0.42
4 0.
360
0.00
59
1.63
4
0.00
98
1.15
7
0.3
1.88
4
0.02
48
1.27
6 - 0.
3917
2.
280
2.00
2.
458
2.00
2.
944
0.34
21
3.02
0
3.52
06
3.39
0
0.1
1.63
3
1.54
4 0.
952
0.50
9 0.
450
0.00
73
1.62
7
0.02
01
1.12
4
0.5
1.95
5
0.02
70
1.26
2 - 0.
4897
2.
284
3.00
2.
575
3.00
3.
058
0.39
06
3.02
5
3.59
78
3.39
3
2.05
9 1.
135
0.64
0 0.
670
0.00
87
1.61
5
0.04
02
1.08
5
0.7
2.00
1
0.2
1.04
4 - 1.
5860
Z.
294
1.48
64
3.02
0
3.78
28
3.39
5
2.19
0 I .
180
1.02
67
I .60
2
1.05
86
I .05
7
I .o
2 .06
5
1.6e
l8
2.31
0
1.58
24
3.02
7
2.57
9 I .2
83
1.04
01
I .58
4
1.07
84
I .04
8
I .5
2.16
6
1.77
72
2.32
0
1.95
98
3.06
5
1.05
27
I .58
3
1.09
71
I .04
0
2.0
2.25
4
1.96
52
!.NO
I .41
86
1.13
5
1.07
00
1.96
6
!.5
Z.34
7
I .426
0 t.3
85
I .785
4 1.
180
1.07
96
I .576
LO
!.440
1.87
54
2.43
0
1.80
80
3.18
5
0.08
00
D.7
95
3.5
2.53
3
Tabl
e 7
Icon
rd.)
DIF
FU
SIO
N
CO
EFF
ICIE
NTS
IN
A
QU
EO
US
E
LEC
TRO
LYTE
S
OL
UT
ION
S
c /(d
dm-3
); rn
/(mol
kg-’)
; D
/(lW
9 m
2 5-I)
KN
O3
18°C
(r
ef. 8
2)
KN
O3
25°C
(r
ef. 3
1)
KO
H
25°C
(r
ef. 7
3)
Lac1
3 25
°C
(ref
. 25)
Lac1
3 25
°C
(ref
. 67)
Lac1
3 25
°C
(ref
. 21)
Lac1
3 25
°C
(ref
. 93)
LiB
r 25
°C
(ref
. 84)
LiC
l 0°
C
(ref
. 87)
-
C
D
C D
C D
C D
C D
C D
C D
C D
C D
- 0.
05
1.45
0.00
09
1.90
2
0.00
72
1.85
6
0.00
15
2.78
1
0.10
30
2.6
8
0.00
09
1.17
8
0.00
66
1.08
7
0.00
01
1.24
6
0.00
1 1
.17
5
0.1
1.00
8
0.10
53
1.01
7
2.9
43
0.
51 8
0.05
1.
300
0.19
75
0.5
90
2.38
77
0.69
0 - 0.
1 1.
43
0.00
12
1.89
4
0.00
86
1.84
7
0.00
31
2.76
5
0.11
90
2.64
0
0.00
1 1
1.16
2
0.02
6 1.
021
0.00
05
1.20
2
0.00
2 1.
145
0.2
1.
004
0.59
08
1.02
9
3.20
9 0
.43
0
0.1
1.27
9
0.19
82
0.58
8
2.83
99
0.71
0 - 0.
2 1.
39
0.00
16
1.88
7
0.00
91
1.85
5
0.00
46
2.75
2
0.00
12
1.1
63
0.00
1 1.
175
0.00
5 1.
105
0.3
1.
005
0.70
41
1.03
5
0.2
1.28
5
0.1
991
0.58
8
2.84
00
0.70
8 - 0
.4
1.34
0.00
22
1.89
1
0.00
92
2.73
9
0.00
14
1.15
9
0.00
5 1.
101
0.01
1.
059
0.4
1.01
1
0.90
72
1.0
54
0.3
1.2
96
0.39
72
0.59
7
3.27
76
0.72
7
0.6
1.30
0.00
25
1.87
3
0.02
01
2.72
0
0.00
19
1.14
6
0.01
1.
069
0.02
1.
030
0.5
1.0
20
1.13
6 1.
077
0.5
1.
328
0.50
63
0.60
0
3.71
31
0.74
1
0.8
1.27
0.00
26
1.87
8
0.02
95
2.68
9
0.00
24
1.13
5
0.02
5 1.
023
0.03
1.
01 9
0.6
1.02
9
1.25
1 1.
080
0.7
1.36
0
0.59
37
0.60
4
4.1
393
0.75
4
1 .o
1
.24
0.0
04
0
1.8
69
0.04
30
2.67
7
0.00
27
1.12
6
0.04
1.
015
0.7
1.
039
1.4
40
1
.07
2
1 .o
1.4
04
0.7
58
6
0.6
1 7
4.55
48
0.76
7
1.5
1.19
0.00
45
1.86
8
0.04
96
2.66
0
0.00
30
1.12
7
0.05
1.
013
0.9
1.04
9
1.59
3 1.
034
1.5
1.47
3
0.78
88
0.61
7
4.96
32
0.77
6
2.0
1.15
0.00
50
1.87
7
0.06
20
2.65
5
0.00
33
1.12
0
0.06
1.
012
0.9
1.05
9
1.97
5 0.
91 1
2.0
1.54
2
0.98
25
0.62
2
5.36
29
0.77
4
2.5
1.17
0.00
51
1.8
57
0.07
45
2.66
3
0.00
40
1.1
10
0.07
1.
01 1
1 .o
1.
068
1.98
5 0.
905
2.5
1.59
7
0.98
26
0.62
6
6.13
93
0.75
8 - 0.
0053
1.
872
0.07
74
2.64
0
0.00
55
1.10
4
0.08
1.
010
2.42
4 0.
703
3.0
1.65
0
1.45
81
0.64
7
6.92
90
0.73
4 - 0.
0060
1.
868
0.10
10
2.64
6
0.00
66
1.08
7
0.08
1.
009
2.59
3 0.
648
3.5
1.69
3
1.92
96
0.67
0
Tabl
e 7
lcon
td.)
DIF
FU
SIO
N
CO
EFF
ICIE
NTS
IN
A
QU
EO
US
E
LEC
TRO
LYTE
S
OLU
TIO
NS
c /(m
l dm
3);
m/(
mol
kg-');
O/(
1W9
rn2 sd
)
LiC
l 18
°C
(ref
. 87)
LiC
l 25
°C
(ref
. 86)
LiC
l 25
°C
(ref
. 84)
LiC
l 25
°C
(ref
. 29)
LiC
l 25
°C
(ref
. 87)
LiC
l 25
°C
(ref
. 67)
LiC
l 25
°C
(ref
. 6)
LiC
l 35
°C
(ref
. 87)
LiC
l 50
°C
(ref
. 87)
-
C
0
C
0
C
0
C
0
C 0
C
0
C
0
C D
C
0
- 0.
1673
1
.05
4
4.22
64
1.24
1
0.1
1.14
8
0.05
1
.28
0
0.00
06
1.34
8
0.00
93
1.31
2
0.11
74
1.26
7
1 .a9
80
1.36
4
0.00
01
1.35
8
2.0
1.
369
0.5
1.27
2
0.11
07
1.60
5
2.65
66
1.7
60
0.1
86
6
2.19
0
1.90
42
2.30
6
0.29
73
1.04
9
4.94
58
1.25
8
0.5
1.13
6
0.1
1.
269
0.00
1 7
1.33
1
0.01
10
1.
313
0.12
80
1.26
2
2.0
49
3
1.37
0
0.00
05
1.34
9
2.5
1.39
8
1 .o
1.
302
0.14
80
1.59
8
3.18
57
1.79
1
0.24
57
2.18
3
2.35
81
2.33
4 - 0.
5925
1.
062
5.34
20
1.26
2
1 .o
1.14
7
0.2
1.26
7
0.00
22
1.33
5
0.16
75
1.26
1
2.83
33
1.41
7
0.00
1 1.
344
3.0
1.42
6
1.5
1.33
7
0.20
1 7
1.59
9
3.53
76
1.80
2
0.29
46
2.17
6
2.35
80
2.33
4
0.78
72
1.07
4
6.1
189
1.2
35
0.3
1.26
9
0.00
23
1.33
5
0.27
18
1.26
2
3.20
62
1.43
6
0.00
5 1.
324
2.0
1.36
9
0.29
99
1.60
3
3.79
47
1.80
9
0.39
25
2.17
4
2.80
26
2.36
2
0.93
16
1.08
1
6.86
38
1.18
5
0.5
1.27
8
0.00
26
1.33
4
0.31
61
1.26
4
3.81
09
1.46
1
0.01
1.
312
3.0
1.42
6
0.39
45
1.6
07
4.31
75
1.82
0
0.42
12
2.17
6
3.66
27
2.39
4
1.31
10
1.10
4
0.7
1.2
88
0.00
30
1.33
1
0.33
46
1.26
4
4.09
08
1.46
9
0.05
1.
280
4.0
1.46
6
0.63
34
1.61
8
4.40
77
1.81
7
0.48
92
2.17
8
3.66
56
2.39
7
1.92
43
1.14
5
1 .o
1
.30
2
0.00
33
1.3
27
0.42
20
1.26
9
4.45
36
1.4
74
0.1
1.26
8
0.86
04
1.63
5
4.93
97
1.82
2
0.48
92
2.18
0
4.49
53
2.40
6
1.92
71
1.14
5
1.5
1.33
1
0.00
49
1.32
6
0.58
66
1.27
8
4.55
98
1.47
3
0.2
1.26
1
0.96
1 0
1.
639
5.23
70
1.82
2
0.58
66
2.18
5
4.49
60
2.40
6
2.34
42
1.16
6
2.0
1.36
3
0.00
56
1.31
9
0.65
98
1.28
0
4.63
38
1.47
4
0.5
1.27
2
1.33
36
1.66
5
5.8
1 1
4 1.
794
0.97
01
2.21
0
5.29
28
2.38
5
2.37
41
1.17
0
2.5
1.39
7
0.00
73
1.32
0
0.94
43
1.30
0
5.93
31
1.45
5
0.7
1.28
8
1.61
01
1.68
5
6.59
94
1.74
1
1.23
23
2.24
2
5.29
29
2.38
5 - 2.
8310
1.
1925
3.0
1.
430
0.00
79
1.31
5
1.16
43
1.31
7
6.38
64
1.43
8
1 .o
1.30
2
2.06
14
1.71
4
7.01
18
1.6
94
1.44
18
2.26
2
3.27
1 1
1.2
12
3.5
1.46
4
0.00
83
1.31
3
1.66
58
1.34
6
8.1
108
1.24
0
1.5
1.33
7
2.1
986
1.72
7
1.44
19
2.26
4
h) 0,
h) 0,
0 0
1
v) E 0
z 0
z
rn
rn
0
-I n 0
0
1
rn 5 r
3
v) -I n <
Tab
le 7
Ico
nid
.)
DIF
FU
SIO
N
CO
EF
FIC
IEN
TS
IN
A
QU
EO
US
E
LE
CT
RO
LY
TE
S
OL
UT
ION
S
c I(
ml d
m3
);
m/(m
ol k
g-I);
D
/(1W
9 m
2 s-l)
XI0
3
25°C
(r
ef. 5
)
-iNO
g 25
°C
(ref
. 94)
-iNO
g 25
°C
(ref
. 36)
-iOH
25
°C
(ref
. 73)
?5"C
(re
f. 24
)
mB
r2
WC
12
25°C
(r
ef. 7
1)
25°C
(r
ef. 6
9)
WgC
h
ws
o4
%Is0
4
25°C
(r
ef. 3
4)
25°C
(r
ef. 3
0)
25°C
(r
ef. 7
8)
UnC
I2
25°C
(r
ef. 5
4;
-
C D
C D
C D
C D C D
C D
C D
C D
C D
C D C D - 0.
0923
1.
21 2
0.07
10
1.24
0
0.00
33
1.2
95
0.00
22
1.6
53
0.00
06
1.00
0
3.O
E-0
8 2.
13
0.00
3644
1.
1425
0.29
751
1.04
28
1.90
82
1.12
08
0.00
13
1.18
7
0.00
05
0.78
8
0.00
48
0.69
2
0.34
65
0.48
4
2.76
94
0.28
8
0.00
1 1.
032
0.19
9 1.
205
0.12
79
1.2
40
0.00
58
1.28
7
0.00
29
1.66
1
0.00
07
0.99
7
3.O
E-0
7 2.
16
0.00
482a
1.
1355
0.39
590
1.04
98
2.35
43
1.09
49
0.00
1 5
1.18
0
0.00
08
0.77
9
0.00
59
0.68
6
0.47
30
0.45
7
0.00
2 0.
994
0.34
9 1.
218
0.26
81
1.24
7
0.00
92
1.27
5
0.00
51
1.63
5
0.00
07
0.99
8
2.O
E-0
6 2.
10
0.00
5976
1
.13
27
0.40
405
1.04
98
2.61
02
1.0
71
6
0.00
20
1.16
8
0.00
16
0.73
9
0.01
17
0.65
9
0.63
76
0.42
9
0.00
3 0.
991
0.70
7 1.
251
0.59
89
1.2
67
0.01
00
1.27
8
0.01
04
1.61
2
0.00
08
0.99
3
5.O
E-0
6 1.
75
0.01
096
1 1.
1049
0.49
987
1.06
34
2.86
79
1.02
64
0.00
27
1.1
64
0.00
17
0.74
6
0.0
1 74
0
.64
4
0.8
20
7
0.4
06
0.00
5 0.
988
1.55
6 1.
302
1.01
4 1.
294
0.0
12
8
1.2
73
0.0
20
0
1.5
82
0.00
21
0.97
3
0.00
002
1.6
2
0.02
2436
1.
0816
0.59
286
1.06
92
3.1
79
7
0.96
63
0.00
28
1.15
7
0.00
21
0.7
40
0.02
04
0.64
0
0.99
05
0.38
9
0.0
08
0.
974
2.3
36
1
.34
1
1.57
3 1.
320
0.01
53
1.26
8
0.02
97
1.56
5
0.00
26
0.96
8
0.00
029
1.30
0.02
9748
1.
071 4
0.78
667
1.08
32
3.62
77
0.86
01
0.00
30
1.1
57
0.00
27
0.73
0
0.02
39
0.63
2
1.1 9
05
0.37
3
0.01
0.
976
6.40
0 1.
239
2.52
9 1.
335
0.0
40
0
1.53
9
0.0
03
4
0.96
1
0.0
02
83
1
.14
0.04
9 7
9i
1.05
66
0.80
1 6
5
1.0
86
5
4.01
13
0.76
09
0.0
03
6
1.1
55
0.0
04
6
0.7
16
0.0
49
1
0.6
03
1.41
73
0.35
7
10.8
0 0.
578
3.28
3 1.
326
0.04
96
1.52
4
0.00
44
0.95
4
0.07
567
1.0
51
6
0.97
161
1.09
67
4.39
69
0.65
58
0.00
40
1.16
4
0.00
48
0.70
9
0.07
42
0.58
4
1.65
75
0.34
4
14.3
0 0.
143
4.35
0 1.
276
0.06
00
1.52
1
0.00
57
0.94
6
0.09
9521
1.
0435
1.1 7
30
1.1
147
4.55
53
0.61
13
0.00
61
0.7
03
0.09
94
0.5
68
1.91
44
0.33
1
14.5
9 0.
120
5.12
7 1.
230
0.08
17
1.49
3
0.15
677
1.03
91
1.44
89
1.12
09
4.65
61
0.58
56
0.00
64
0.70
2
0.1
479
0.54
4
2.18
54
0.31
8
6.40
4 1.
117
0.09
63
1.47
1
0.1
9867
1
.03
83
1.45
43
1.1
21
6
4.92
29
0.51
50
0.19
70
0.52
5
2.47
09
0.30
5
1.14
80
I .43
8
).26
995
1.04
46
1.71
60
1.12
45
1.24
55
1.51
1
!.616
4 ).
298
Tabl
e 7
Ico
ntd
.)
DIF
FU
SIO
N
CO
EF
FIC
IEN
TS
IN
A
QU
EO
US
E
LE
CT
RO
LY
TE
S
OL
UT
ION
S
c /(m
ol d
rn”);
m
/(mol
kg-
1);
0/(1
0-9
rn2
S-1)
NH
4CI
20°C
(r
ef. 7
2)
NH
4CI
25°C
(r
ef. 2
2)
NH
4N03
25
°C
(ref
. 94)
NH
40H
25
°C
(ref
. 49)
(NH
4)2s
04
25°C
(r
ef. 9
4)
NaB
r 25
°C
(ref
. 84)
NaC
2H30
2 25
°C
(ref
. 58)
Na2
C03
25
°C
(ref
. 51)
NaC
l 0°
C
(ref
. 88)
NaC
l 18
°C
(ref
. 82)
NaC
l 1 8
°C
(ref
. 88)
-
C D
C D
C D
C D
C D
C
D
C D
C D
C D
C D
C D - 0.
0025
1
.53
6
0.1
1.83
8
4.0
2.
235
3.05
07
1.79
1
3.06
3 2.
079
3.05
25
3.80
0
3.05
1.
533
1.00
3 I .
147
1.00
5 I .
15
1.07
68
1.72
5
2.84
72
1.75
6
1.05
I .
26
1.0
I .43
1.06
98
I .24
8
2.38
22
I .27
6
0.00
5 1.
521
0.2
1.83
6
4.5
2.25
7
0.10
11
1.7
69
0.07
7 2.
089
0.10
02
0.82
5
0.1
1.
517
0.00
5 1.
113
0.01
1
.10
0.1
49
6
0.71
0
3.72
15
0.78
0
0.1
1.24
4.5
1.46
0.09
97
1.24
1
2.82
99
1.29
1 - 0.
050
1.59
9
0.3
1.84
1
5.0
2.
264
0.20
24
1.75
0
0.20
4 2.
102
0.20
50
0.86
9
0.2
1.50
7
0.00
8 1.
106
0.05
1 .
oo
0.1
992
0.70
7
0.2
1.22
5.0
1.49
0.1
986
1.22
8
3.26
64
1.30
45 - 0.
100
1.70
7
0.5
1.86
1
0.4
05
0
1.73
1
0.24
1 2.
089
0.3
82
4
0.91
5
0.3
1.
515
0.01
1
.10
2
0.1
01
0.
947
0.24
92
0.69
9
0.4
1
.20
0.29
78
1.22
4
3.69
75
1.31
8
~ ~~
0.15
0 1.
834
0.7
1.88
3
1.00
1 1.
695
0.44
7 2.
104
0.56
21
0.95
0
0.5
1.54
2
0.02
1.
091
0.10
1 0.
939
0.29
56
0.69
7
0.6
1.21
0.39
69
1.22
6
4.11
59
1.32
5
0.20
0 1.
923
1 .o
1.92
1
2.02
6 1.
638
0.45
2 2.
120
1.15
5 1.
027
0.7
1.56
9
0.03
1.
087
0.20
2 0.
885
0.39
75
0.69
8
0.8
1.22
0.59
08
1.22
7
4.11
64
1.32
7
0.25
0 1.
967
1.5
1.98
6
3.00
0 1.
576
0.6
54
2.
113
2.39
3 1.
086
1 .o
1.
596
0.05
1.
073
0.30
1 0.
834
0.59
43
0.69
9
1 .o
1.23
3.78
72
1.23
0
4.64
35
1.33
0
-
0.30
0 1.
969
2.0
2.05
1
4.00
0 1.
522
0.78
3 2.
126
3.59
4 1.
126
1.5
1.62
9
0.08
1.
076
0.40
3 0.
796
0.98
43
0.70
8
1.5
1.26
3.78
75
1.23
0
4.95
85
1.32
5
0.36
3 1.
991
2.5
2.1
13
5.1
04
1.
469
0.91
6 2.
119
2.0
1.66
8
0.1
1.09
6
0.50
6 0.
742
1.46
36
0.72
1
2.0
1.29
3.98
1 0
1.23
2
3.0
2
.16
4
6.00
4 1.
418
2.5
1.70
2
1.93
37
3.73
4
2.5
1.33
1.17
26
1.23
8
3.25
2.
184
7.62
8 1.
338
1.93
46
3.73
4
3.0
I .36
1.45
77
I .24
5
3.5
2.20
3
2.39
52
1.74
3
3.5
I .39
1.92
06
I .26
2
Iu
Q)
Iu
03
0 0
3
0) E 0
z 0
z
rn
rn
0
-I a 5 I-
I
rn s rn -I I) <
Tabl
e 1
Icon
td.1
D
IFF
US
ION
C
OE
FFIC
IEN
TS
IN
AQ
UE
OU
S
ELE
CTR
OLY
TE
SO
LU
TIO
NS
c
/(mot
dm
?);
rn/(m
ol kg
-’);
D/(
10-9
m2 s-l)
NaC
l 25
°C
(ref
. 86)
NaC
l 25
°C
(ref
. 84
)
VaC
l 25
°C
(ref
. 29)
YaC
l 25
°C
(ref
. 20)
NaC
l 25
°C
(ref
. 90)
NaC
l 25
°C
(ref
. 71)
NaC
l 25
°C
(ref
. 67)
NaC
l 25
°C
(ref
. 21)
NaC
l 25
°C
(ref
. 6)
NaC
l 25
°C
(ref
. 77)
-
C D
C D
C D
C D
C D
C D
C D
0.1
1.34
6
0.0
5
1.5
06
4.0
1.
584
0.00
07
1.58
6
0.00
07
1.6
13
0.02
71
1.52
6
0.69
87
1.47
7
0.00
002
1.51
0.00
01
1.60
3
2.0
1.51
8
0.1
1.48
3
1.6
1.
498
0.5
1.4
74
0.0
1 80
1.
5315
2.12
09
1.52
00
5.06
78
1.58
45 - 0
.5
1.3
12
0.1
1.
484
0.00
1 1
.57
6
0.00
16
1.61
0
0.02
76
1.51
2
1 .oo
oo
1.48
5
0.00
009
1.54
0.00
05
1.59
3
2.5
1.54
2
0.2
1.47
7
1.8
1.50
7
1 .o
1.48
4
0.02
48
1.52
15
2.59
84
1.54
01
5.31
95
1.57
70 - 1 .
o 1.
322
0.2
1.4
78
0.00
33
1.57
6
0.00
33
1.62
2
0.08
06
1.49
0
2.00
28
1.51
9
0.00
05
1.58
0.00
1 1.
587
3.0
1.56
4
0.3
1.47
5
2.0
1.51
6
1.5
1.5
01
0.04
98
1.50
45
3.07
99
1.55
94
D.3
1.
477
3.00
45
1.56
2
D.0
045
1.61
4
D.0
964
1.48
3
2.03
05
1.5
1 7
0.00
2 1.
58
0.00
5 1.
562
0.4
1.
474
2.5
1.5
40
2.0
1.5
18
0.09
95
1.48
73
3.08
08
1.55
94
0.5
1.47
4
0.00
52
1.55
9
0.00
52
1.61
5
0.12
67
1.47
9
3.00
0 1.
565
0.01
1.
547
0.5
1.47
3
3.0
1.
565
2.5
1.54
2
0.19
86
1.47
81
3.08
23
1.55
98
~~ 3.
7 1.
475
3.00
65
1.55
7
3.00
65
1.61
8
0.14
19
1.48
1
4.00
0 1.
594
0.05
1.50
3
0.6
1.47
4
3.5
1.58
4
3.0
1.
564
0.29
58
1.47
33
3.42
26
1.57
26
1 .o
1.
483
0.00
77
1.55
5
0.00
77
1.6
20
0.20
82
1.47
2
4.52
61
1.59
2
0.1
1.48
5
0.7
1.47
5
4.0
1.59
4
4.0
1.59
4
0.39
60
1.47
37
3.89
37
1.58
54
1.5
1.49
5
0.0
09
0
1.54
4
0.00
90
1.61
3
0.20
82
1.47
4
5.0
00
1.
590
0.2
1.47
4
0.8
1.47
7
4.5
1.59
4
5.0
1.59
0
0.68
90
1.47
55
4.10
36
1.58
89
2.0
1.51
4
0.00
93
1.54
4
0.00
93
1.61
4
0.21
30
1.4
73
0.5
1.
474
0.9
1.4
78
5.0
1.
590
0.97
85
1.48
1 3
4.30
64
1.58
98
2.5
1.52
9
0.01
00
1.54
7
0.0
1 00
1.61
9
0.30
00
1.4
73
0.7
1.47
7
1 .o
1.48
0
5.4
1.5
84
1.35
88
1.49
1 8
4.51
19
1.59
34
3.0
1
.54
4
0.01
47
1.5
42
0.34
16
1.47
7
1 .o
1.48
4
1.2
1.
485
1.45
42
1.49
31
4.71
44
1.59
12
3.5
1.55
9
0.50
04
1.47
3
1.5
1.50
1
1.4
1.49
1
1.92
01
1.51
37
4.91
31
1.58
43
Tab
le 7
(co
ntd
.)
DIF
FU
SIO
N
CO
EFF
ICIE
NTS
IN
A
QU
EO
US
E
LE
CT
RO
LY
TE
S
OL
UT
ION
S
c /(r
nol d
rn");
m
/(m
ol kg-');
Dl(1
0-9
6's
-1)
NaC
l 25
°C
(ref
. 44)
NaC
l 25
°C
(ref
. 7)
NaC
l 35
°C
(ref
. 88)
NaC
l 50
°C
(ref
. 88)
NaC
103
25°C
(r
ef. 5
)
NaC
104
25°C
(r
ef. 4
4)
NaH
C03
25
°C
(ref
. 86)
NaH
C03
25
°C
(ref
. 51)
Nal
25
°C
(ref
. 86)
Nal
25°C
(r
ef. 9
)
Nal
25
°C
(ref
. 95)
NaN
03
25°C
(r
ef. 3
5)
NaN
03
25°C
(r
ef. 4
4)
-
C
D
C
D
C D
C D
C D
C D
C D
C D
C D
C D
C D
C D
C D - 3.
1 1.
484
3.39
07
1.48
6
3.07
92
1.88
2
2.80
99
1.95
8
3.19
66
2.53
2
3.64
88
2.65
9
3.12
5 1.
365
3.1
1.47
5
3.10
1.
056
3.00
99
1.19
9
3.1
1.34
9
3.05
1.
527
3.05
1.
527
3.00
22
1.53
4
3.1
1.43
7
0.5
1.47
4
1.13
13
1.4
70
0.09
91
1.88
4
3.24
52
1.97
6
0.29
44
2.52
0
3.66
63
2.66
1
0.35
1 1
.35
8
0.5
1
.44
9
0.25
1.
027
0.01
56
1.19
7
0.5
1.36
8
0.1
1.52
0
0.1
1
.52
0
0.0
04
8
1.5
16
0.5
1
.39
3
1 .o
1.48
3
0.1
476
1.87
2
3.67
85
1.99
2
0.41
70
2.50
9
4.05
74
2.66
0
0.52
5 1.
341
1 .o
1.45
2
0.50
0.
989
0.01
99
1.18
5
1 .o
1.40
3
0.2
1.53
2
0.2
1.53
2
0.00
71
1.51
2
1 .o
1.35
2
2.0
1.51
4
0.18
69
1.86
3
4.08
59
1.99
9
0.56
90
2.51
0
4.86
00
2.64
6
0.70
5 1.
325
2.0
1.46
9
0.0
35
4
1.1
62
0.3
1.5
47
0.5
1.
580
0.0
08
7
1.5
14
2.0
1.27
2
3.0
1.54
4
0.19
77
1.86
5
4.49
39
1.98
9
0.60
83
2.51
0
4.86
04
2.64
4
1.15
1 1.
296
3.0
1.48
3
0.04
25
1.16
4
0.5
1.
580
0.7
1
.61
2
0.01
01
1.4
98
3.0
1
.19
2 - 4.
0 1.
584
0.29
65
1.85
7
4.93
86
1.97
5
0.74
26
2.51
3
1.74
7 1.
270
4.0
1.49
3
0.04
97
1.16
0
0.7
1.61
2
1 .o
1.66
2
4.0
1.1
12
0.39
46
1.8
56
0.96
90
2.52
0
3.25
1 1
.16
7
5.0
1.49
6
0.05
67
1.15
1
1 .o
1.66
2
1.5
1.
751
5.0
1.03
2
0.49
22
1.85
8
1.43
93
2.54
3
4.62
9 1.
041
6.0
1.49
3
0.06
38
1.15
0
1.5
1.75
1
2.0
1 -7
46
6.0
0.
952
0.59
42
1.86
0
1.89
91
2.56
5
4.72
3 1.
036
7.0
1.48
5
0.08
22
1.14
5
2.0
1.84
6
2.5
1.92
5
7.0
0.87
2
0.97
52
1.87
0
2.35
05
2.58
7
5.67
1 0.
865
8.0
1.47
3
0.09
92
1.1
34
2.5
1
.92
5
3.0
1
.99
2
1.44
83
1.89
1
2.79
12
2.61
0
5.33
3 3.
690
3.0
1.45
8
3.0
1.99
2
1.91
23
1.91
3
3.1
569
2.63
1
Tabl
e 7
Icon
td.1
D
IFF
US
ION
C
OE
FF
ICIE
NT
S
IN
AQ
UE
OU
S
EL
EC
TR
OL
YT
E
SO
LU
TIO
NS
c
/(rno
l dm
-3);
m/(
mol
kg-')
; D
/(10
-9rn
2s-l)
NaO
H
25°C
(r
ef. 7
3)
NaS
CN
25
°C
(ref
. 86)
NaS
CN
25
°C
(ref
. 44)
Na
ps0
4
25°C
(r
ef. 2
4)
Na2
S04
25
°C
(ref
. 78)
NiC
12
25°C
(r
ef. 85)
NiC
12
25%
(r
ef. 6
4)
RbC
l 25
°C
(ref
. 27)
SrC
I2
25°C
(r
ef. 3
4)
ri2s0
4 25
°C
(ref
. 8)
ZnC
I2
25°C
(r
ef. 2
)
-
C D
C
D
C D
C
D
C D
C
D
C
D
C
D
C D
C D
C D - 0.
001
7 2.
070
0.04
48
1.95
7
0.1
1.
297
0.1
1.47
4
0.0
00
8
1.1
78
0.00
50
1.12
04
0.62
98
0.74
81
0.1
1.05
0
0.10
0 0.
953
0.0
01
8
2.01
2
0.00
1 1.
267
0.16
44
1.57
5
4.83
29
1.96
9
0.1
1
.03
1
2.5
1
.14
0 - 0.
0025
2.
069
0.04
97
1.93
7
0.5
1.
272
0.5
1.45
7
0.00
08
1.17
7
0.00
75
1.10
33
0.79
32
0.70
20
0.2
1.04
2
0.08
0 0.
974
0.00
26
2.00
8
0.00
2 1.
250
0.25
47
1.58
3
0.2
1.00
5
3.0
1.20
1 - 0.
0033
2.
052
0.05
15
1.97
5
1 .o
1.27
5
1 .o
1.48
5
0.00
1 5
1.17
0
0.00
10
1.0
90
0
0.97
41
0.65
70
0.5
1.0
52
0.05
0 1.
012
0.00
41
2.00
1
0.37
73
1.60
2
0.3
0.99
3
3.5
1.24
8
0.00
66
2.0
43
0.05
81
1.93
8
2.0
1.5
45
0.0
02
0
1.16
0
0.01
99
1.06
00
1.1
71
2
0.6
1 93
1.0
1.
091
0.0
30
1
.04
4
0.00
45
1.98
8
0.52
60
1.6
22
0.4
0.98
6
0.00
83
2.01
7
0.06
62
1.9
22
3.0
1.57
7
0.00
27
1.15
1
0.03
93
1.03
52
1.34
05
0.59
06
1.5
1.
114
0.02
0 1.
059
3.00
45
1.99
8
3.61
88
1.63
7
3.5
3.98
2
0.01
00
2.03
0
0.07
45
1.91
7
4.0
1.
577
0.00
36
1.13
7
0.07
47
1.00
02
1.40
33
0.58
24
2.0
1.06
9
0.01
0 1.
074
0.00
46
1.99
8
1.05
61
1.69
0
3.6
3.98
0
0.0
13
3
2.01
1
0.07
95
1.9
15
5.0
1.
552
0.00
45
1.12
9
0.09
95
0.97
98
1.52
82
0.56
45
2.5
0.96
3
0.00
5 1.
083
0.00
68
1.98
6
1.52
14
1.74
5
0.7
0.
979
0.01
66
1.99
5
0.10
26
1.91
3
6.0
1.51
9
0.00
45
1.13
2
0.14
91
0.95
01
3.0
0.84
4
0.0
03
1
.1 12
0.00
69
1.98
9
1.98
28
1.79
0
0.8
0.98
0
3.02
48
1.98
1
7.0
1.46
0
1.00
48
1.12
4
1.1 9
87
1.92
24
3.5
1.71
7
1.00
2 I .
114
1.00
80
I .97
9
?.2
85
3
1.81
4
1.9
1.98
2
1.03
12
1.99
0
3.0
I .41
0
1.24
81
1.89
78
1.0
1.58
8
1.01
11
I .96
9
!.968
9 I .
867
1.0
1.98
5
1.03
31
I .96
6
3.0
I .37
1
1.35
65
1.84
83
3.49
44
1.90
1
I .5
1.01
6
1.04
14
1.94
5
1.48
40
1.79
75
3.85
74
I .92
3
!.O
I .07
0
Tabl
e 1
fcon
rd.)
DIF
FU
SIO
N
CO
EF
FIC
IEN
TS
IN
A
QU
EO
US
E
LE
CT
RO
LY
TE
S
OL
UT
ION
S
c I(m
l dd
);
rnI
(mol
kg-
’);
DI(
10
-9d
5-l
)
c D
c D
c D
Zn(C
lO4)
2 25
°C
(ref
. 1)
ZnS
O4
25°C
(r
ef. 9
2)
ZnS
O4
25°C
(r
ef. 4
)
0.1
1.
0357
2.5
1.54
80
0.03
13
0.68
4
3.00
3934
0.
7011
2.33
42
0.31
61
0.7
1.
2476
0.59
596
0.41
48
3.17
47
0.28
13
0.2
1.06
1 7
3.0
1.41
98
0.12
5 0.
619
0.01
575
0.65
33
2.38
62
0.31
47
0.8
1.28
38
0.76
04
0.39
59
0.3
1.09
66
0.25
0.
574
0.03
944
0.60
89
2.49
23
0.31
10
0.4
1.13
42
0.07
431
0.57
84
2.76
58
0.30
06
0.5
1.
1752
0.19
632
0.51
11
2.76
77
0.30
15
0.6
1.21
04
0.38
907
0.45
76
3.1
550
0.28
08
~
0.9
1.31
87
1.03
89
0.36
80
~
1 .o
1.35
21
1.3
50
8
0.34
97
~ 1.5
1.49
03
1.63
33
0.33
98
2.0
1.56
35
1.91
67
0.33
21
N
Q,
W
N
0
0 3
rn v, 0
z
0
z
rn
r-
rn
0
--I
D
0
0
1
rn 5 5 rn -4 m <
Mutual diffusion coefficients in aqueous electrolyte solutions
a3
-0.840E-02 0.000E+00 -0.1 85E-01 -0.143E-01 -0.296E-01 -0.71 8E-02
O.OOOE+OO -0.109E+01 -0.727E+02 -0.143E+01
-0.703E+02 -0.139E+03 O.OOOE+OO
-0.11 1E+00 -0.51 1 E-01 -0.575E+04 -0.123E+07 -0.192E+03
-0.184E+05 -0.1 17E+02
-0.728E+01
-0.244E+01 -0.925E+02
-0.380E+04
-0.194E+07 -0.186E-01 -0.435E+00
0.205E+08
-0.162E+03 -0.388E+02 -0.330E+01 -0.300E+01
-0.223E+02
-0.343E-02 -0.397E+04 -0.125E+05 -0.149E+00
2633
a4
O.OOOE+OO O.OOOE+OO -0.848E-01 0.648E-02 -0.009 E-01 -0.288E+01
O.OOOE+OO 0.316E+00 0.582E+01 0.395E+00
0.797E+01 0.152E+01 0.009E+00
-0.128E-01 0.426E-01 0.285E+05 0.184E+08 0.220E+03
0.142E+06 0.503E+01
0.338E+01
0.983E+00 0.678E+01
O.OOOE+OO
0.727E+08 0.917E-03 0.623E+00
-0.208E-02
0.209E+01 0.1 16E+01 0.1 05E+00 0.1 03E+00
0.103E+00
0.1 1 OE-01 0.1 97E+05 0.763E+05 0.355E+00
TABLE 2
COEFFICIENTS a. TO a4 OF EQUATION
0/(10- rn s ) = a0 + al [c/(rnol d r ~ - ~ ) ] ’ ” + a2 [c/(rnol drn”)] + a3 [c/(rnol drn-3)]3’2 + a4 [c/(rnol drn-3)]2 9 2 -1
0.966E-03 0.390E-02 0.456E-01 0.357E-01 0.239E-02 0.787E-02
Equation valid for interpolation, not for extrapolation
r.rn.s.d. is the root mean square deviation.
0.830E+OC 0.1 19E+01
-0.1 66E+01 0.170E+01 0.162E+01 0.164E+01
I Electrolyte
25 25 25 25
Cd(C104)2 (ref. 80) I
0.461 E-02 0.134E+01 -0.266E+02 0.103E-01 0.121E+01 -0.500E+00 0.464E-01 0.132E+01 -0.241 E+01 0.171E-01 0.123E+01 -0.696E+00
(ref. 3) (ref. 3) (ref. 43) (ref. 68) (ref. 3) (ref. 3)
(ref. 34) (ref. 90) (ref. 67) (ref. 79)
(ref. 39) (ref. 39) (ref. 81) (ref. 22) (ref. 66) (ref. 33) (ref. 67) (ref. 39)
(ref. 18) (ref. 80)
0.725E-02 0.170E-01 0.124E+04 0.122E-01 0.937E-02 0.502E-02 0.103E-01 O.208E-01
Cdl2 (ref. 17) Cdl2 (ref. 75)
CdS04 (ref. 18)
CSCl (ref. 28) CSCl (ref. 66) CSCl (ref. 10)
Cs2SO4 (ref. 26)
CuSO4 (ref. 14) CuSO4 (ref. 13) CuSO4 (ref. 96) CuSO4 (ref. 70)
HBr (ref. 84)
CH3COOH (ref. 91) CH3COOH (ref. 40) CH3COOH (ref. 50) CH3COOH (ref. 91)
0.913E+OC 0.120E+01
-0.418E+02 0.113E+01 0.113E+01 0.125E+01 0.1 32E+01 O.l52E+01
“ C l r.m.s.d. I 80 I a1 I I
25 25
25
25 25
25
25 25 25
25
1 13 25 25 25 37
0.642E-02 0.103E+01 -0.189E+02 0.447E-01 0.1 19E+01 -0.320E+01
0.271E-01 0.115E+01 -0.135E+01
0.706E-02 0.883E+00 -0.830E+00 0.537E-01 0.120E+01 -0.799E+01
0.930E+00 -0.157E+02
0.360E-02 0.206E+01 -0.585E+02 0.965E-02 0.187E+01 -0.629E-01 0.389E-01 0.205E+01 -0.835E+00
0.338E-02 0.148E+01 0.469E+02
25 25 25 25
-0.266E+00 -0.328E+00 -0.583E+00 -0.550E+00 -0.460 E+OO -0.439E+OO
0.136E-01 0.731 E+OO 0.416E+00 0.809E+01 0.475E-01 0.760E+00 0.168E-01 0.686E+00
25 25 25 35
15 25 25 25 25 25 25 35
0.51 1 E-01 0.123E+01 0.727E-02 0.129E+01 0.382E-02 0.125E+01 0.462E-03 0.156E+01
-0.161 E+01 -0.303E+01 O.OOOE+OO
-0.1 05E+00 -0.891 E+02 -0.1 03E+02 -0.790E+02 -0.425E+01
-0.478E+01 -0.206E+02 -0.1 81 E+01 -0.1 40E+01
25 0.660E-01 0.336E+01 -0.358E+01 I l l
a2
0.646E-01 0.554E-01 0.1 50E+00 O.l23E+00 0.141 E+OO 0.763 E-0 1
0.200E+04 O.l25E+01 0.916E+01 0.1 68E+01
0.184E+02 0.359E+02 O.OOOE+OO 0.267E+00 0.1 35E+00 0.378E+03 0.169E+05 0.497E+02
0.845E+03 0.939E+01
0.562E+01
0.222E+01 0.433E+02
0.430E+04
O.l68E+05 0.1 02E+00 O.l04E+01
-0.648E+05
0.436E+02 0.436E+02 0.376E+01 0.306E+01
O.l60E+02
0.373E-01 0.267E+03 0.582E+03 0.237E+00
2634 COMMISSION ON ELECTROCHEMISTRY
0.803E+03 0.661 E+01 0.105E+02 0.274E+01 0.729E+00 0.1 11 E+04 0.848E+00 0.1 35E+03
0.561 E+OO
-O.l52E+00
0.163E+00
0.353E-01 0.135E+04
0.220E+02 0.653E+01 0.970E+01 0.1 97E+00 0.41 3E+03 0.244E+02
0.374E+02
0.380E+00
0.1 15E+00 0.283E+01 0.397E+00 0.152E+00 0.258E+05 0.378E+00 0.1 11 E+01 0.21 6E+02 0.108E+00 0.772E+01 0.71 7E+00 0.363 E-0 1
-0.114E+00 0.187E+00 0.1 19E+01 0.177E+01 0.247E+00
-0.449E+01
0.631 E+01
0.587E+03
0.238E+03
0.390E+00
0.965E+04
Table 2 Ic0ntd.J
D/(lO-’ rn2 s-l) = a. + al [c/(rnol drn-3)]1’2 + a2 [c/(rnol dn~-~ ) ] + a3 [c/(rnol drn-3)]3’2 + a4 [c/(rnol d ~ n - ~ ) ] ~
COEFFICIENTS a. TO a4 OF EQUATION
-0.373E+01 -0.885E+01 -0.141E+02 -0.176E+01 -0.228E+00 -0.246E+05 -0.266E+00 -0.609E+03
-0.153E+00
0.243E-01
-0.292E-01
-0.359E-02 -0.200E+05
-0.555E+02 0.100E+02
-0.124E+02 -0.432E-01 -0.272E+04 -0.61 7E+02
-0.369E+03
-0.131 E+OO
-0.449E-01 -0.523E+01 -0.124E+00 -0.544E-01 -0.438E+07 -0.135E+00 -0.667E+00 -0.630E+02 -0.306E-01 -0.201 E+02 -0.31 3E+00 -0.667 E-02 0.287E-01 -0.672E-01 -0.572E+00 -0.882E+00 -0.722E-01
0.252E+01
0.000E+00
-0.720E+04
-0.279E+04
-0.164E+00
-0.174E+06
Equation valid for interpolation, not for extrapolation.
r.m.s.d. is the root mean square deviation.
Electrolvte
HCI HCI HCI HCI HCI HCI HCI HCI
HC104
H2Cr04
H N O ~
H3P04 H3P04
H2S04 H2S04 H2S04 H2S04 H2S04 H2S04
HSC12
KBr
KCI KCI KCI KCI KCI KCI KCI KCI KCI KCI KCI KCI KCI KCI KCI KCI KCI
K2Cr04
K2Cr207
KF
K2HP04
KI
~ 1 0 3
(ref. 41) (ref. 41) (ref. 41) (ref. 42) (ref. 84) (ref. 37) (ref. 45) (ref. 41)
(ref. 21)
(ref. 12)
(ref. 21)
(ref. 11) (ref. 47)
(ref. 38) (ref. 38) (ref. 42) (ref. 83) (ref. 46) (ref. 38)
(ref. 17)
(ref. 84)
(ref. 89) (ref. 23) (ref. 82) (ref, 89) (ref. 32) (ref. 72) (ref. 82) (ref. 32) (ref. 19) (ref. 16) (ref. 67) (ref. 6) (ref. 76) (ref. 89) (ref. 15) (ref. 15) (ref. 89)
(ref. 12)
(ref. 12)
(ref. 74)
(ref. 48)
(ref. 9)
(ref. 18)
- “C
10 15 25 25 25 25 25 35
25
20
25
25 25
10 15 25 25 25 35
25
25
0 4
18 18 20 20 25 25 25 25 25 25 25 35 35 45 50
20
2 0
25
25
25
25
I
II
0.179E-01 0.442E-0 1 0.590E-0 1 0.324E-01 0.802E-0 1 0.600E-02 0.875E-0 1 0.427E-0 1
0.817E-01
0.539E-01
0.990E-01
0.442E-01 0.228E-01
O.OOOE+OO 0.232E-02 0.81 OE-0 1 0.1 73E-0 1 0.671 E-01 0.000E+00
0.1 16E-03
0.378E-01
0.1 69E-02 O.OOOE+OO 0.428E-0 1 0.469E-02 O.OOOE+OO 0.132 E-01 0.223E-0 1 0.912E-02 0.476E-02
0.369E-0 1 O.OOOE+OO
O.OOOE+OO 0.717E-02 0.1 07E-01 0.309E-01 0.7 14E-0 1 0.853E-02
0.249E-01
0.592E-01
0,259E-0 1
0.108E-01
0.435E-01
0.1 16E-03
a0
0.215E+01 0.242E+01 0.306E+01 0.300E+01 0.31 5E+01 0.332E+01 0.320E+01 0.386E+01
0.280E+01
0.144E+01
0.285E+01
0.981 E+OO 0.140E+01
0.1 34E+01 0.151E+01 0.201 E+01 0.1 80E+01 0.229E+01 0.240E+01
0.1 04E+01
0.193E+01
0.925E+00 0.109E+01 0.159E+01 0.156E+01 0.178E+01 0.166E+01 0.198E+01 0.195E+01 0.185E+01 0.195E+01 0.1 94E+01 0.182E+01 0.202E+01 0.230E+01 0.246E+01 0.296E+01 0.306E+01
0.160E+01
0.137E+01
0.1 96E+01
0.1 23E+01
0.192E+01
0.273E+01
a1
-0.606E+02 -0.149E+01 -0.226E+01 -0.756 E+OO -0.278 E+OO -0.232E+02 -0.41 9E+00 -0.1 08E+02
-0.175E+01
0.354E+01
-0.224E+01
-0.832E+00 -0.375E+02
-0.304E+01 0.161 E+01
-0.259E+01 -0.822E-02 -0.244 E+02 -0.334E+01
-0.148E+01
-0.249E+00
-0.41 3E-01 -0.655E+00 -0.325E+00 -0.723E-01 -0.648E+02 -0.303E+00 -0.719E+00 -0.270E+01 -0.409E-01 -0.132E+01 -0.515E+00 0.407E-01
-0.934E-01 -0.809E+00 -0.1 14E+01 -0.183E+00
0.169E+00
0.209E+01
-0.51 1 E+02
-0.1 77E+02
-0.972E+01
-0.1 19E+00
-0.201 E+03
a9 T a ? a4
0.542E+01 0.393E+01
0.359E+01 0.234E+OC 0.1 93E+OE
0.878E+01
0.136E+OC
-0.638E+01
0.274E-01
-0.1 14E-01
0.149E+OC
0.1 00E-01 0.102E+OE
0.424E+01
0.533E+01
0.601 E+02 0.464E+01
0.1 13E+04
-0.545E+OC
-0.258E+OC
0.149 E-01
0.628E-02 0.356E+01 0.1 34E-01 0.689E-02 0.225E+09
0.167E+00 0.590E+02
0.1 83E+02
0.162E-01
0.290E-02
0.458E-01 0.267E-03 -0.295E-02 0.828E-02 0.902E-01 0.141 E+OO 0.688E-02
-0.438E+01
0.004E+01
0.295E+05
0.119E+05
0.220E-01
0.653E+0€
Mutual diffusion coefficients in aqueous electrolyte solurions 2635
Table 2 (contd.) COEFFICIENTS a,, TO a4 OF EQUATION
O/(lO-’ rn2 s-’) = a0 + al [c/(rnol d ~ n - ~ ) ] ” ~ + a2 [c/(rnol drn-’)I + a3 [c/(rnol drn-3)]3’2 + a4 [c/(rnol d ~ n - ~ ) ] ~
Equation valid for interpolation, not for extrapolation.
r.m.s.d. is the root mean square deviation.
Electrolvte
K N O ~ KNO3
KOH
Lac13 Lac13 Lac13 Lac13
LiBr
LiCl LiCl LiCl LiCl LiCl LiCl LiCl LiCl LiCl
LiC103
LiN03 LiN03
LiOH
Li2SO4
MgBr2
MgC12 MgC12
MgS04 MgS04
NH4CI NHqCl
NH4N03
NH40H
(ref. 82) (ref. 31)
(ref. 73)
(ref. 25) (ref. 67) (ref. 21) (ref. 93)
(ref. 84)
(ref. 87) (ref. 87) (ref. 84) (ref. 29) (ref. 87) (ref. 67) (ref. 6) (ref. 87) (ref. 87)
(ref. 5)
(ref. 94) (ref. 36)
(ref. 73)
(ref. 24)
(ref. 71)
(ref. 69) (ref. 34)
(ref. 30) (ref. 78)
(ref. 72) (ref. 22)
(ref. 94)
(ref. 49)
(NH4)2S04 (ref. 94)
NaBr (ref. 84)
Na2C03 (ref. 51)
NaCl (ref. 88) NaCl (ref. 82) NaCl (ref. 88) NaCl (ref. 84) NaCl (ref. 29) NaCl (ref. 20)
- ’C
18 25
25
25 25 25 25
25
0 18 25 25 25 25 25 35 50
25
25 25
25
25
25
25 25
25 25
20 25
25
25
25
25
25
C 1E 1E 25 25 25
I
-
r.m.s.d.
0.172E-01 0.632E-02
0.118E-01
0.309E-02 0.1 91 E-01 0.517E-01 0.134E-01
0.278E-0 1
0.246E-02 0.423E-02 0.258E-01 0.275E-02 0.384E-02 0.244E-0 1 0.1 05E-02 0.369E-02 0.683E-02
0.31 3E-01
0.298 E-0 1 0.221 E-02
0.556E-02
0.566E-03
0.81 4E-01
0.228E-01 O.OOOE+OO
0.429E-02 0.177E-01
0.825 E-0 1 0.323E-02
0.406E-0 1
0.767E-02
0.559E-02
0.308E-01
0.165E-01
0.147E-01 0.265E-01 0.224 E-0 1 0.299E-01 0.350E-02 0.377E-02
a0
0.150E+01 0.1 93E+01
0.278E+01
0.122E+01 0.1 27E+01 0.1 13E+01 0.103E+01
0.1 32E+01
0.580E+00 0.104E+01 0.131E+01 0.1 35E+01 O.l25E+01 0.1 33E+01 0.125E+01 0.1 59E+01 0.21 7E+01
0.123E+01
0.128E+01 0.130E+01
0.166E+01
0.102E+01
0.21 8E+01
0.1 09E+01 0.121 E+01
0.824E+00 0.656E+00
0.1 62E+01 0.183E+01
0.1 83E+01
0.208E+01
0.782E+00
0.158E+01
0.1 15E+01
0.753E+OC 0.1 28E+01 0.1 28E+01 0.154E+01 0.159E+01 0.161 E+01
a1
-0.633E+00 -0.429E+02
-0.445E+01
-0.603E+02 -0.138E+03 -0.21 1 E+01 -0.192E+00
-0.128E+00
0.433E-01 0.41 1 E-01
-0.189E+00 -0.159E+02 0.416E-01
-0.343E+00 0.336E-01 0.297E-01
-0.889E-02
0.382E-01
-0.481 E-01 -0.431 E+01
-0.619E+01
-0.520E+02
-0.960E+05
-0.1 33E+00 -0.1 80E+01
-0.828E+02 -0.717E+OO
-0.302E+01 0.458 E-0 1
-0.201 E+OO
0.992E-01
0.452E+OC
-0.399E+OC
-0.342E+01
-0.233EcOC -0.218E+OC -0.1 49E+OC -0.257E+OC -0.700E+01 O.OOOE+OC
a2
0.658E+OC O.l22E+05
0.531 E+02
O.l26E+05 0.332E+05 0.816E+01 0.502E+OC
0.302E+OC
0.260E-02 0.979E-02 0.251 E+OC 0.357E+04
0.500E+OC 0.1 28E-01
0.275E-01 0.246E-01 0.702E-01
0.923E-02
0.704 E-01 0.1 14E+O?
0.1 09E+O?
0.1 92E+05
0.363E+l C
O.l99E+OC O.OOOE+OC
0.282E+05 0.704E+OC
0.588E+O2 0,625 E-0 1
0.661 E-01
-0.560 E-0 1
-0.309E+OC
0.795E+OC
0.170E+O;
0.258E+OC 0.1 92E+OC 0.1 22E+OC 0.257E+OC 0.249E+01 O.OOOE+O(
a3
-0.345E+00 -0.1 60E+07
-0.21 OE+03
-0.1 18E+07 -0.281 E+07 -0.1 1 OE+02 -0.321 E+OO
-0.121 E+OO
-0.454E-03 -0.1 84E-02 -0.947E-01 -0.41 3E+06 -0.272E-02 -0.226E+00 -0.870E-02 -0.545E-02 -0.1 93E-01
-0.321 E-02
-0.208E-01 O.OOOE+OO
-0.992E+03
-0.366E+07
-0.125E+14
-0.771 E-01 O.OOOE+OO
-0.467E+07 -0.308E+00
-0.238E+03 -0.173E-01
-0.1 11 E-01
0.000E+00
O.l00E+00
-0.458E+00
-0.392E+02
-0.957E-01 -0.494E-01 -0.308E-01 -0.862E-01 O.OOOE+OC O.OOOE+OC
a4
0.646E-0 1 0.737E+O@
O.OOOE+OC
0.300E+O@ 0.678E+0@ 0.498E+01 0.519E+01
0.158E-01
-0.526E-01 -0.003E-01 0.1 24E+OC 0.1 71 E+Ot
0.330E+OC 0.770E+OC
-0.602E-01
-0.236 E-0 1 0.142 E-0 1
0.140E-01
0.163E-01 O.OOOE+OC
0.31 3E+04
0.253E+09
0.399E+16
0.760E+OC 0.007E+OC
0.283E+07 0.460E+OC
0.298E+02 -0.1 33E-01
0.621 E-01
-0.009E+01
0.112E-01
0.849E+OC
0.31 OE+OE
0.1 10E-01 0.421 E-01 0.254E-01 0.968E-01 0.000E+O( O.OOOE+OC
2636 COMMISSION ON ELECTROCHEMISTRY
Table 2 lcontd.) COEFFICIENTS a. TO aq OF EQUATION
O/(lO-’ rn2 s-’) = a0 + a l [c/(rnol dn~-’)]’/~ + a2 [c/(rnol drn-’)I + a3 [c/(rnol drn-’)I3I2 + a4 [c/(rnol drn-’)I2
Equation valid for interpolation, not for extrapolation.
r.m.s.d. is the root mean square deviation.
Electrolyte
NaCl
NaC103
NaClOq
NaHC03
Nal Nal
NaN03 NaN03
NaOH
NaSCN
Na2S04 Na2S04
NiC12
RbCl
T12S04
ZnCI2
Zn(ClO& (ref. 1)
ZnSOq (ref. 4)
(ref. 90) (ref. 67) (ref. 21) (ref. 6) (ref. 44) (ref. 77) (ref. 88) (ref. 88)
(ref. 5)
(ref. 44)
(ref. 51)
(ref. 9) (ref. 95)
(ref. 35) (ref. 44)
(ref. 73)
(ref. 44)
(ref. 24) (ref. 78)
(ref. 85)
(ref. 27)
(ref. 8)
(ref. 2)
I
“C
25 25 25 25 25 25 35 5 0
25
25
25
25 25
25 25
25
25
25 25
25
25
25
25
25
25
I
I
r.m.s.d.
0.112E-01 0.305E-01 0.224E-01 0.1 28E-02 0.189E-02 0.215E-01 0.339E-01 0.376E-01
0.323E-0 1
0.669 E-02
0.379E-02
0.285E-0 1 0.400E-01
O.OOOE+OO 0.245E-02
0.112E-01
0.1 13E-01
0.191E-02 0.142 E-0 1
0.567E-0 1
0.386E-02
0.178E-02
0.346 E-0 1
0.366E-0 1
0.489 E-0 1
~
a0
0.150E+01 0.157E+01 0.154E+01 0.148E+01 0.149E+01 0.151E+01 0.1 13E+01 0.267E+01
0.143E+01
0.147E+01
0.122E+01
0.156E+01 0.154E+01
0.148E+01 0.144E+01
0.208E+01
0.146E+01
0.1 16E+01 0.1 1 OE+01
0.116E+01
0.201 E+01
0.154E+01
0.113E+01
0.1 11 E+01
0.71 4E+OC
a1
-0.974E-01 -0.469E+00 -0.1 76E+00 -0.1 22E-01 -0.551 E-01 -0.497E-01 -0.238E+00 -0.451 E+OO
-0.1 73E+00
-0.290E-01
-0.251 E+01
-0.138E+00 0.785 E-0 1
0.51 7E+02 -0.102E+00
-0.733E+01
0.228 E-0 1
0.31 OE+02 -0.1 16E+01
-0.439E+00
-0.458Ec01
0.786E+01
-0.529E+00
-0.172E+00
-0.971 E+OO
a2
0.902E-01 0.605E+OC O.l40E+OC 0.242E-01 0.676E-01 0.348E-01 0.208E+OC 0.350E+OC
0.483E-01
0.187E-01
0.306E+O2
0.374E+OC 0.245E-01
-0.193E+05 0.1 06E-01
0.1 89+03
0.1 70E-01
-0.305E+05 O.l57E+01
0.532E+00
O.OOOE+OO
-0.487E+02
0.527E+00
0.723E+00
0.902E+00
a3
-0.2 16E-0 1 -0.272E+00 -0.332E-01 -0.343 E-02 -0.2 16E-01 -0.437E-02 -0.547E+00 -0,906 E-0 1
-0.626E-02
-0.3 1 0 E-02
-O.l45E+03
-0.163E+00 - O . O O O E + O O
0.258E+07 -0.l95E-02
-0.243E+04
-0.499E-02
0.793E+07 -0.1 17E+01
-0.21 8E+00
O . O O O E + O O
0.132E+03
-0.178E+00
-0.360E+00
-0.344E+00
a4
-0.1 66 E-02
0.257E-02 -0.003E+OC 0.243E-01
-0,003E-0 1 0.460E-01 0.772 E-02
-0.008E-0 1
0.400E+OC
0.155E-02
O . O O O E + O C
0.239E-01 0.002E+OO
-0.1 15E+09 0.122E-02
0.1 1 OE+OO
0.301 E-01
-0.688E+09 0.320E+00
0.258E+00
0.000E+00
O.OOOE+OO
0.21 1 E-01
0.490E+00
0.458E+00
Mutual diffusion coefficients in aqueous electrolyte solutions 2637
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