Appendix A - ABB AX410 User Manual

APPENDIX A

A1 Automatic Temperature Compensation
The conductivities of electrolytic solutions are influenced
considerably by temperature variations. Thus, when significant
temperature fluctuations occur, it is general practice to correct
automatically the measured, prevailing conductivity to the value
that would apply if the solution temperature were 25C, the
internationally accepted standard.
Most commonplace, weak aqueous solutions have temperature
coefficients of conductance of the order of 2% per C (i.e. the
conductivities of the solutions increase progressively by 2% per C
rise in temperature); at higher concentrations the coefficient tends
to become less.
At low conductivity levels, approaching that of ultra-pure water,
dissociation of the H O molecule takes place and it separates
2
into the ions H + and OH – . Since conduction occurs only in the
presence of ions, there is a theoretical conductivity level for ultra-
pure water which can be calculated mathematically. In practice,
correlation between the calculated and actual measured
conductivity of ultra-pure water is very good.
Fig. A1 shows the relationship between the theoretical
conductivity for ultra-pure water and that of high purity water
(ultra-pure water with a slight impurity), when plotted against
temperature. The figure also illustrates how a small temperature
variation considerably changes the conductivity. Subsequently,
it is essential that this temperature effect is eliminated at
conductivities approaching that of ultra-pure water, in order to
ascertain whether a conductivity variation is due to a change in
impurity level or in temperature.
For conductivity levels above 1S cm
expression relating conductivity and temperature is:
[1 +  (t – 25)]
G = G
t 25
Where: G = conductivity at the temperature tC
t
G = conductivity at the standard temperature
25
(25C)
 = temperature coefficient per C
At conductivities between 1S cm
generally between 0.015/C and 0.025/C. When making
temperature compensated measurements, a conductivity
analyzer must carry out the following computation to obtain G
G
t
G =
[1 +  (t – 25)]
25
However, for ultra-pure water conductivity measurement, this
form of temperature compensation alone is unacceptable since
considerable errors exist at temperatures other than 25C.
–1 , the generally accepted
,  lies
–1 and 1,000S cm –1
:
25
At high purity water conductivity levels, the conductivity/
temperature relationship is made up of two components: the
first component, due to the impurities present, generally has a
temperature coefficient of approximately 0.02/C; and the
second, which arises from the effect of the H
becomes predominant as the ultra-pure water level is
approached.
Consequently, to achieve
compensation, the above
compensated for separately according to the following
expression:
G – G
t upw
G = + 0.055
[1 +  (t – 25)]
25
Where: G = conductivity at temperature tC
t
G = ultra-pure water conductivity at
upw
temperature tC

= impurity temperature coefficient
0.055 = conductivity in S cm
water at 25C
The expression is simplified as follows:
G
imp
G = + 0.055
[1 +  (t – 25)]
25
Where: G = impurity conductivity at temperature tC
imp
The conductivity analyzer utilizes the computational ability of a
microprocessor to achieve ultra-pure water temperature
compensation using only a single platinum resistance
thermometer and mathematically calculating the temperature
compensation required to give the correct conductivity at the
reference temperature.
+ and OH – ions,
full automatic temperature
two components must
–1 of ultra-pure
be
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