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Solution 1
Solution 2
H +
H +
Known pH
Unknown pH
H +
H +
H +
H +
H +
H +
H +
H +
H +
H +
H +
H +
H +
H +
H +
D E
3.3 Potential variation over a glass membrane in contact with two
solutions of different composition, one being of constant and
known hydrogen-ion activity.
pH
=-
log a
[3.4]
In practice, the trick to obtain the pH is to use a membrane that is on one
side exposed to a solution of known and constant hydrogen-ion activity (e.g.
a buffer solution) and on the other side is exposed to the solution of
unknown pH (Fig. 3.3). On the first side of the membrane, an exchange of
H + occurs, but because of the constant composition of the buffer solution
1, this will result in a constant potential, E 1 . On the other side of the mem-
brane, a potential, E 2 , is established which is determined by the activity of
hydrogen ions in the solution of unknown pH. Therefore, D E is dependent
only on E 2 , and thus the pH of this solution can be determined using a glass
membrane.
Of course, before such a glass membrane can be used, the measured
potential, D E must be linked to the pH. This can be done through calibra-
tion by measuring the potential differences when the membrane surface is
immersed in buffer solutions of known pH. In that case, E 2 is linked to the
pH of the buffer and a calibration curve. Finally, a solution of unknown pH
can be analysed by measuring D E and calculating the pH using the cali-
bration curve.
+
H
 
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