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preface to fifteenth edition

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ELECTROLYTES, EMF, AND CHEMICAL EQUILIBRIUM 8.169<br />

Conductance of an Electrolyte Solution<br />

1 S<br />

[<br />

1]<br />

R d<br />

where S is the surface area of the electrode, or the mean cross-sectional area of the solution [m 2 ],<br />

and d is the mean distance between the electrodes [m].<br />

Equivalent Conductivity<br />

<br />

1 2 1<br />

[ · m · equiv ]<br />

C<br />

In the older literature, C is the concentration in equivalents per liter. The volume of the solution in<br />

cubic centimeters per equivalent is equal <strong>to</strong> 1000/C, and 1000 /C, the units employed in Table<br />

8.32 [ 1 ·cm 2 · equiv 1 ]. The formula unit used in expressing the concentration must be specified;<br />

for example, NaCl, 1 ⁄2K2SO, 4 1 ⁄3LaCl 3.<br />

The equivalent conductivityof an electrolyte is the sum of contributions of the individual ions.<br />

<br />

At infinite dilution: c a, where c and a<br />

are the ionic conductances of cations and anions,<br />

respectively, at infinite dilution (Table 8.35).<br />

Ionic Mobilityand Ionic Equivalent Conductivity<br />

1 2 1<br />

c Fuc and a Fu a [ · m · equiv ]<br />

where F is the Faradayconstant, and u c , u a are the ionic mobilities [m 2 ·s 1 ·V 1 ].<br />

F(u u ) ( )<br />

c a c a<br />

where is the degree of electrolytic dissociation, /. The electric mobility u of a species is the<br />

magnitude of the velocityin an electric field [m · s 1 ] divided bythe magnitude of the strength of<br />

the electric field E[V · m 1 ].<br />

Ostwald Dilution Law<br />

K d<br />

2<br />

C<br />

1 <br />

where K d is the dissociation constant of the weak electrolyte. In general for an electrolyte which<br />

yields n ions:<br />

K d<br />

C<br />

(n1)<br />

<br />

<br />

(n1)( )<br />

Transference Numbers or Hit<strong>to</strong>rf Transport Numbers<br />

c<br />

a<br />

Tc Ta Tc Ta<br />

1<br />

<br />

Tc uc c<br />

<br />

T u <br />

c a c a<br />

a a a<br />

T <br />

T <br />

c c a a<br />

n

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