2 evaluation, 1 ph calibration, Evaluation – Metrohm 781 pH/Ion Meter User Manual

Page 148: Ph calibration, Fig. 15: theoretical u/ph relationship

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9.2 Evaluation

138

780/781 pH/Ion Meter, Manual

9.2

Evaluation

9.2.1

pH calibration

pH calibration is used to assign the potentials measured at the pH

electrode to the corresponding pH values. This relationship is known

theoretically and is described by the Nernst equation. For pH meas-

urement it can be simplified to:

pH

U

U

U

N

0

pH

=

=

where

F

T

R

)

10

ln(

U

N

=

T: absolute temperature in K

R: ideal gas constant

F: Faraday constant

UpH=0 is the ordinate intercept at pH = 0. Its value depends on the

construction of the electrode. The theoretical Nernst constant UN is

temperature-dependent and is e.g. 59.16 mV at 25 °C.
This means that theoretically, i.e. with a standard pH glass electrode

(inner electrolyte c(KCl) = 3 mol/L: pH 7.0; Ag/AgCl reference system),

at pH 7.0 a potential of 0 mV should be measured. This represents the

so-called zero point of the electrode. The graphical plot of further U/pH

pairs of values within the normal pH range then provides a linear rela-

tionship according to the above equation whose slope is -UN.

U/mV

4

7

9

pH

Slope = = - U

N

0

-100

100

200

U

pH

U

pH

= - 59.16 mV (25°C)

pH(0) = 7.0

Fig. 15:

Theoretical U/pH relationship

In fact this U/pH curve is usually different. The offset potential of the

electrode (Uoff = U at pH 7.0) may not be zero as a result of the

asymmetry potential at the glass membrane, a contaminated inner elec-

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