Slope and Line Steepness
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Hamilton SUS pH electrodes
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All sensors delivered with Quality Declaration
The Quality Declaration contains all information needed for start-up
Hamilton SUS pH electrodes
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Most equipment (controllers or transmitters) need zero point value and slope
The zero point value is the mV value at pH 7, directly provided in the
declaration
Hamilton SUS pH electrodes
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The slope is calculated based on zero point value and pH 4 reading according
to following formula (all mV values at 25°C) :
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=
[
E
(
p
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4
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0
1
)
-
E
(
p
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7
.
0
0
)
]
/
[
(
p
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=
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1
)
–
(
p
H
=
7
.
0
0
)
]
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(
1
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1
–
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)
/
-
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.
9
9
=
-
5
9
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2
m
V
/
p
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Hamilton SUS pH electrodes
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Some equipment may need the slope and instead the zero point, they require
the pH value to get 0mV. This one can be calculated as follows :
p
H
(
E
=
0
m
V
)
=
[
p
H
7
*
E
(
p
H
4
)
–
p
H
4
*
E
(
p
H
7
)
]
/
(
E
p
H
4
-
E
p
H
7
)
]
=
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:
p
H
(
E
=
0
m
V
)
=
[
7
.
0
0
*
1
8
1
–
4
.
0
1
*
4
]
/
[
1
8
1
-
4
]
=
(
1
2
6
7
–
1
6
.
0
4
)
/
(
1
7
7
)
=
7
.
0
6
7
Hamilton SUS pH electrodes
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Some processes may require pH adjustments of the electrode during process
and without removing the electrode from the vessel. This procedure is called
“product calibration”. The user takes a sample of medium (through sterile
sample valve) and makes a reference pH measurement (in lab). In case the
reference value differs from process value more than a user pre-defined
tolerance, an adjustment is required. It consists of an offset adjustment, the
slope remains unchanged. Hamilton SUS electrodes can be handled is this
way, the procedure however must be supported by the controller / transmitter.
Thank you for your attention!
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Learn about slope, which is a number indicating line steepness. Positive slopes go up to the right, negative slopes go down, and horizontal lines have a slope of 0. Find slope by ratio of vertical and horizontal changes. Explore examples to practice concepts.
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Presentation Transcript
Calibration of SUS pH electrodes
Hamilton SUS pH electrodes Quality Declaration : All sensors delivered with Quality Declaration The Quality Declaration contains all information needed for start-up 2
Hamilton SUS pH electrodes Quality Declaration : Zero point Most equipment (controllers or transmitters) need zero point value and slope The zero point value is the mV value at pH 7, directly provided in the declaration 3
Hamilton SUS pH electrodes Quality Declaration : Slope The slope is calculated based on zero point value and pH 4 reading according to following formula (all mV values at 25 C) : Slope= [E(pH4.01)-E(pH7.00)] / [(pH=4.01) (pH=7.00)] In previous example : Slope = (181 4)/-2.99 = -59.2mV/pH 4
Hamilton SUS pH electrodes Quality Declaration : Zero point as pH value for 0 mV Some equipment may need the slope and instead the zero point, they require the pH value to get 0mV. This one can be calculated as follows : pH(E=0mV) = [pH7*E(pH4) pH4*E(pH7)]/(EpH4-EpH7)] = In previous example : pH(E=0mV) = [7.00*181 4.01*4] / [181-4] = (1267 16.04) / (177) = 7.067 5
Hamilton SUS pH electrodes During process calibration : Some processes may require pH adjustments of the electrode during process and without removing the electrode from the vessel. This procedure is called product calibration . The user takes a sample of medium (through sterile sample valve) and makes a reference pH measurement (in lab). In case the reference value differs from process value more than a user pre-defined tolerance, an adjustment is required. It consists of an offset adjustment, the slope remains unchanged. Hamilton SUS electrodes can be handled is this way, the procedure however must be supported by the controller / transmitter. 6
Thank you for your attention! Hamilton Bonaduz AG, Switzerland Hamilton Company, Reno / USA 7
