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P O T E N T I O M E T R I C M E A S U R E M E N T SP a g e | 1
Volume No. 3 Issue No. 1
POTENTIOMETRIC MEASUREMENTS
Dr. Kathlia De-Castro Cruza ; Elijah P. Ugaddanb
ABSTRACT
Potentiometry is an electroanalytical technique which uses the potential difference
developed across the electrodes that make up the electrochemical cell to
quantitavely analysed the amount of the analyte in a particular sample such as the
concentration. In the case of this experiment, the pH of shampoo, conditioner and
shampoo + conditioner were evaluated using the pH meter. The pH obtained in all
samples ranges from 4.0 – 6.8 which is relatively acidic. Diluting these samples,
the pH increased to less than 7. The experiment also determined the different
amount of fluoride in the following samples of: toothpaste, mouthwash, tap water
and NaF stock solution without Total Ionic Strength Adjustment Buffer (TISAB)
using the fluoride ion selective electrode (ISE). These were statistically treated
with two analytical techniques namely the External Standard and Standard
Addition Method. The sample of the highest fluoride content is toothpaste which
accounts for (0.1756 M-0.18 M) while the least of them is the stock solution
without the buffer with a concentration of (5.046E-19 M). Buffer plays a vital role
in potentiometric measurements. Between the two analytical techniques used,
standard addition method showed a more accurate and defined result.
Keywords: buffer, electrode, external standard, potential, potentiometry, pH,
standard addition
INTRODUCTION
Electroanalytical techniques relate
two different field one of which is
governed by physical science and the
other transpires as a physical
phenomenon; chemistry and
electricity respectively. These
techniques evaluate the various
electrical quantities such as potential,
current, or charge at which it relates
to quantitative chemical parameters
for instance that of the concentration
of the analyte in the solution. Various
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P O T E N T I O M E T R I C M E A S U R E M E N T SP a g e | 2
electroanalytical techniques have
been developed including;
voltammetry, coulometry,
electrogravimetry and potentiometry.
The latter is extensively studied in
this experiment.
Potentiometry is an electroanalytical
technique which utilizes potential (V)
of electrochemical cells for
quantitative analysis such as that of
concentration, neglecting the effect of
current applied in the system. A
typical cell for this analysis is
represented by:
Reference electrode | Salt Bridge |
Analyte Solution | Indicator Electrode
The reference electrode is an
electrode independent of the quantity
of the analyte in the solution and it is
used as a reference because of its
known potential. The reference
electrode used in the experiment is
the Standard Hydrogen Electrode
(SHE). Moreover, the indicator
electrode is dependent on the activity
of the analyte to which the solution is
immersed and to which a potential
(Eind) is obtained. The indicator
electrode used is an ion-selective
electrode (ISE) particularly the pH
electrode and a fluoride electrode.
The overall measured potential is
expressed as Equation 1.1:
Ecell=Eindicator−Ereference+Ejunction
(Equation 1.1)
For an unknown standard potential of
the Ecell, Nernst Equation can then
be applied given in Equation 1.2
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(Equation 1.2)
Where n is the number of electrons
involved in the reaction; [A] is the
concentration in molarity; a is the
numerical coefficient in the reaction
The two analytical techniques used to
treat the data in the experiment are
the Standard Calibration Method and
Standard Addition Method. The first
determines the potential from
different standard solution with
known concentration. These data are
then used to plot a linear graph of
potential and the logarithm of the
concentration.
Figure 1.1 Graph of Standard Calibration
Method
The equation used to express this
graph is given by Equation 1.3;
E=Slog (C )+K
(Equation 1.3)
E is the potential at respective
concentration; S is the slope of the
equation; C is the concentration of the
solution; K being the y-intercept
Standard Addition Method is another
analytical technique that measures
the potential of the system before and
after adding a known volume of the
standard to a fixed volume of the
sample. The response is given by the
graph and linear plot is extrapolated
to the concentration axis as shown in
Figure 1.2
Figure 1.2: Graph of Standard Addition
Method
The objectives of the experiment are
to have an insight of potentiometric
measurements using various kind of
electrode, to be able to determine the
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different pH measurements of
shampoo, conditioner and
shampoo+conditioner (2-in-1)
samples. Lastly is to be able to
determine the fluoride content of
mouthwash, tap water and toothpaste
using the fluoride meter electrode and
compare using the analytical
technique of standard calibration and
standard addition method.
MATERIALS AND METHODS
The apparatus used are beakers of
specification 25 mL, 100 mL and 250
mL, iron stand, pipets with speciation
10 mL, iron clamp, burette, pH meter,
volumetric flask with spec. 100 mL
and 250 mL and fluoride-ion selective
electrode. The reagents are buffer
solutions of pH 4, 7 and 9 , TISAB
(total ionic strength adjustment
buffer) and 0.1 M F stock stock
standard solution. Samples used are
shampoo (Sunsilk), conditioner
(Creamsilk), shampoo + conditioner
(Black Beauty), toothpaste (Close-Up),
mouthwash (Colgate Plax) and tap
water.
Methodology
I. pH determination of hair shampoosA. Calibration of electrode (pH meter)
B. pH measurements of the samples ( Shampoos, Conditioner, Shampoo + Conditioner)
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Use buffer solutions pH 4, 7 , 9
Adjust pH to read pH of buffer sol'n
P O T E N T I O M E T R I C M E A S U R E M E N T SP a g e | 5
II. Determination of fluoride in various samples A. Sample Preparation (Toothpaste)
B. Sample Preparation (Mouth wash and tap water)
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5 mL sample to 25 mL beaker ; measure pH
After using electrode: rinse with water & blot with soft tissue paper
5 mL sample + 45 mL dis water (*burette) in 100 mL beaker
Measure and record pHAfter using electrode: clean and
calibrate
0.20 g toothpaste in 300 mL beaker + 50 mL TISAB sol'n. Stir and boil for
2 min
Cool. Transfer to 100 mL vol flask. Dilute to mark with dis water. Mix
P O T E N T I O M E T R I C M E A S U R E M E N T SP a g e | 6
C. Determination of fluoride samples using Calibration Curve Method
D. Determination of fluoride samples using Standard Addition Method 1. Prepare in 100 mL vol flask
2. Measure potential 3. Plot the Response ((Vo + Vstd)10⌃((E2-E1)/S))) vs (CV)std4. Determine concentration of fluoride in sample
RESULTS AND DISCUSSION
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25 mL of mouth wash + 50 mL TISAB sol'n in 100 mL vol flask
Dilute to mark. Mix
25 mL of 100 ppm std. to 500 mL vol flask. Dilute to mar
Transfer 5 mL, 10 mL, 25 mL, 50 mL of 5 ppm solution to 100 mL vol flask
Add 50 mL TISAB sol'n each and dilute to mark
Determine potential of each standard. Prepare calibration Curve
(E vs. log C)
Determine potential of each sample (toothpaste, mouthwash)
From graph deterine concentration of each sample
Do 3 trials. Get mean.
Confidence limit at 95% CI
P O T E N T I O M E T R I C M E A S U R E M E N T SP a g e | 7
I. pH Measurements of Shampoo, Conditioner, Shampoo +
Conditioner
Tag Number Concentrated DilutedSunsilk 1 5.61 6.19Pantene 2 5.70 6.12Dove 3 4.98 5.83Creamsilk 4 4.01 4.63Pantene 5 4.05 4.59Dove 6 4.34 5.12Black Beauty 7 5.71 6.33Palmolive 8 6.76 6.92Palmolive 9 6.56 6.9
pH
Shampoo
Conditioner
Shampoo + Conditioner
Sample
Table 1.1 Table of pH of samples
Figure 1.3: Graph of pH measurements of shampoo, conditioner, shampoo + conditioner
Initially, the pH electrode was
calibrated with a buffer solution of pH
4,7 and 9 in order to examine a more
accurate results in the pH of the
samples to be subjected as well as to
ensure that the electrode is working
properly. Buffer solution was used to
calibrate the pH electrode because
this solution is pH sensitive and
maintains a constant a pH through a
period of time as compared to a pure
acid or base. Introducing any ions in
the buffer solutions for instance
allows the buffer solution to prevent it
from adjusting its pH from rising or
falling. Buffer solutions are suitable
for calibrating the pH meter.
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It can be generalized from Figure 1.3
that the pH of shampoo, conditioner
and shampoo + conditioner ranges
from 4-6.8 which varies between
acidic to slightly acidic. The reason
behind the acidic pH is because of the
nature pH of the hair which is also
relatively acidic and this makes it
more compatible to penetrate through
the hair scalp. The hair follicle is a
sebaceous gland that secretes sebum,
an oily substance which protects the
hair from drying out. Though it is
beneficial in desirable amounts, it also
poses a disadvantage if present in
excess by clogging the pore of the
hair roots causing dandruff and hair
loss.
In order to eliminate this; aqueous
shampoo, conditioner and shampoo +
conditioner of relatively low pH are
used. Shampoos, conditioners and
shampoo + conditioner just like
detergents contain surfactants. These
surfactive agents form into micelles
which can then solubilize sebum. The
primary surfactants in the shampoo
contain lauryl sulfate. Since the
natural pH of hair is acidic, the acidity
of the shampoo, conditioner and
shampoo + conditioner allows the
moisture to be sealed in the hair
cuticle, close it and help it return to
its natural state. If the pH of the
following samples mentioned were
relatively high, this may take effect in
the opening of the hair cuticle
allowing moisture to diffuse out from
the system causing hair damage and
dry, frizzy hair.
The reported pH of the samples after
dilution showed an increase in its
value. A lower pH value does not only
indicate that the solution is acidic but
also corresponds to the concentration
of hydronium ions [H+] being
significantly in greater amount than
its counterpart hydroxide ion [OH-], in
which the latter causes a higher pH
value and increased alkalinity in the
solution.
Dilution uses water which is a polar
protic solvent with a pH of 7, falls on
the neutral region thereby plays a role
of either a base or an acid depending
on pH nature of the analyte. The case
of which with respect to the shampoo,
conditioner and shampoo +
conditioner samples, the water acted
as a base which deprotonated the
[H+] ions from the samples giving it a
more negative charge on its ion. This
implies that more [OH-] coming from
water dissolves into the lesser amount
of [H+] in the sample. Although an
increase of pH may occur, the pH
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value after dilution will not be greater
than 7 since the water was never
basic in the first place.
II. Determination of Fluoride
A. Direct Potentiometry
ppm M
1 0.5 2.63E-05 96.332 1.0 5.26E-05 94.973 2.5 1.32E-04 93.274 5.0 2.63E-04 92
ConcentrationStandard Solution E (mV)
Table 1.2: Standard Calibration Method using Standard Solutions of NaF
Figure 1.4: Calibration Curve of Standard Calibration Method
From Table 2.2, the calibration curve
was constructed by plotting the
logarithm of the concentration and its
potential. The reason behind taking
the logarithm of its concentration is
because of the log parameter in the
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Nernst Equation (Equation 1.2). The
plot shows a linear and indirect
relationship of concentration and its
potential. These standard solutions
prepared from a mother solution of
100 ppm NaF are used to identify the
concentration of the unknown
samples of toothpaste, mouth wash
and tap water.
The fluoride ion selective electrode’s
mechanism is a double junction
electrode or a combination electrode
wherein the reference and indicator
are built into one single probe. In this
electrode, an active membrane made
up of a single crystal LaF3 which is
fixed with europium (II) to facilitate
the mobility of ion transportation.
Figure 1.5: Schematic Representation of the fluoride ISE
Fluoride ions (F-) from the electrode
and analyte solution bind to the
crystal in the membrane to form
LaF4-.Because of the activity of the F
in the analyte solution different to
that of the electrode solution, a
measured potential difference is then
obtained across the membrane.
Upon preparation of the standard
solution; Total Ionic Strength
Adjustment Buffer (TISAB) is used.
TISAB controls the pH of the fluoride
solution constant. Since a possibility
of formation of hydroxide ions (OH-)
because of the relative acidity of the
fluoride solution, the ion-selective
electrode (ISE) is somewhat sensitive
to the (OH-) and may account for the
activity of the hydroxide ions giving
erroneous results. TISAB is used to
prevent this from occurring.
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Secondly, TISAB is also used because
it contains a complexing agent known
as trans-1,2
cyclohexanedinitrilotetraacetic acid
(CDTA) to combine with
contaminants such as (Al3+ and Fe 3+)
which leaves them inert . These
contaminants may form complexes
with (F-) causing a different
potentiometric measurement.
Al 3+(aq) + 4F-
(aq) <-> AlF4-(aq)
Figure 1.6: Structure of trans-1,2
cyclohexanedinitrilotetraacetic acid
(CDTA
Using the calibration curve method,
an equation of the line can be
obtained and this represents Equation
1.3
E=Slog (C )+K
E is the potential at respective
concentration; S is the slope of the
equation; C is the concentration of the
solution; K being the y-intercept
Although the value of S theoretically
was obtained at 59.2 as compared to
the experimental S of 4.322; this is
still acceptable since the linearity (R2)
is close to unity (1). Using the
equation generated from Figure 1.4;
the following fluoride ions of the
unknown samples are tabulated in
Table 1.3
Sample Tag No. E (mV) [F-], MMouthwash (Colgate Plax) 1 99.7 1.60E-03
Toothpaste (Close Up) 2 95.6 0.18Stock Solution without Buffer 3 32.7 5.046 E-19
Tapwater (N405, Mapua Intramuros) 4 96.3 2.62E-04
Table 1.3: Sample with given potential
and calculated unknown concentration
The fluoride content of the following
samples in decreasing order shows:
Toothpaste > Mouthwash >Tap Water
> Stock Solution without Buffer
As compared to toothpaste and
mouthwash; mouthwash is diluted
with water therefore it gives lesser
amount of fluoride as that of the
toothpaste. Tap water is maintained
to contain at least less than 4ppm of
fluoride content in municipal water.
The stock solution has the least
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fluoride content because it does not
contain TISAB. Consequently, without
the buffer solution the hydroxide ions
(OH-) somehow affect the read-out of
the ISE since there is no control of pH
in the solution. The solution is also
prone to contaminants such as Al3+
and Fe3+which gives a different
measurement.
B. Standard Addition Method
Figure 1.7 shows the corresponding linear curve for Standard addition method of Samples
In this method a known volume of the
sample and standard is used. The
concentration of the unknown sample
depends on the response of the
system from its potential. The given
equation formed corresponds to
Equation 1.4;
(Vo+Vstd)Vo
10E2−E1S =Vo+ 1
CunkCstdVstd
(Equation 1.4)
y=b+mx
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Where: E2 is the potential after
addition of standard; E1 potential
before standard; S is the slope of the
calibration curve in Figure 1.4
The standard addition graph in Figure
1.7 is linear and passes through the
origin. To get the concentration of the
unknown, the data is extrapolated
until the response reached a zero
signal wherein the point crosses the y
axis and touches the x-axis.
The obtained concentrations of the
analytes are tabulated below (Table
1.4);
Sample Vo Vstd CstdVstd E,mV Response [F-], M5 0 0 81.6 05 10 0.002631579 78.7 0.2445469155 20 0.005263158 81.4 0.3959207645 30 0.007894737 90.9 0.496865447
5 0 0 127.7 05 10 0.002631579 115.6 0.1489560135 20 0.005263158 117.4 0.2404884035 30 0.007894737 116.5 0.342123897
5 0 0 122.7 05 10 0.002631579 105 0.176415735 20 0.005263158 109.1 0.2763241975 30 0.007894737 109.7 0.383227121
Tapwater (N405, Mapua Intramuros)
1.22E-03
0.1756
1.86E-04
Mouthwash (Colgate Plax)
Toothpaste
Table 1.4 shows the tabulated results for Standard Addition Method
From the graph, toothpaste still has the most fluoride content among the samples
and tap water contains the least of it. Comparing the two analytical techniques
used to determine the fluoride as shown in Table 1.5;
Standard Calibration Standard Addition[F-], M [F-], M
Toothpaste (Close-up) 0.18 0.1756Mouthwash(Colgate Plax) 1.60E-03 1.22-03
Tap Water 2.62E-04 1.86E-04
Analytical TechniqueSample
Stock Solution without Buffer N/A5.046 E-19
Table 1.5 shows the comparison of results between Standard Calibration and Standard Addition
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The advantages of using Standard
Calibration or External Standard
allows a series of standard with a
known quantity be compared to that
of multitude of samples to be
analyzed. The standards are analyzed
separately from the analyte. In this
method, recalibration is very much
simple since a single point will be
recalibrated for instance. This is most
commonly utilized for routine
analysis. This method does not
account for the interferences (pH
change, contaminants, temperature
change) that can happen in the
matrix. The matrix is anything in the
unknown except the analyte. To
remedy this problem, standard
addition method is used thus giving
more accurate results as that of the
external standard. Standard Addition
Method reduces these matrix effects
by spiking known amounts of
standard to the analyte giving more
accurate and desirable results.
CONCLUSION
Potentiometry uses the potential
difference developed across the
reference and indicator electrode to
denote the quantity of the analyte in
the sample. Various electrodes were
used in the experiment such as the pH
meter and the fluoride ion selective
electrode (F- ISE). Measured pH of
shampoo, conditioner and shampoo +
conditioner displayed a relatively
acidic pH. The acidic nature of these
samples was due to the compatibility
of the natural pH in the hair cuticle.
Diluting the concentrated sample
increases the pH of the sample.
Moreover, F-ISE determined the
fluoride ion content through external
standard via the calibration curve and
the standard addition method. The
relationships between the potential
remains to be fundamental in
evaluating the concentration of the
toothpaste, mouthwash, tap water and
stock solution without buffer.
Toothpaste has the highest fluoride
content amongst all other sample. The
least of them is the stock solution
without buffer. Buffer such as TISAB
plays a great role in obtaining
accurate potentiometric
measurements. Additionally, standard
addition method provided a more
accurate result of the concentration
obtained as compared to that of the
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external standard due to the accounting of the matrix interferences
occurring in the sample.
REFERENCES
[1] D.A. Skoog and J.J. Leary, “Principles of Instrumental Analysis, Sixth Ed., Saunders College Publishing, Orlando, FA, 1992, Chap. 22, particularly pp. 499-511.
[2] T.S. Light and C.C. Cappuccino, "Determination of Fluoride in Toothpaste Using an Ion-Selective Electrode", J. Chem. Ed. 1975 52(4) pp. 247-250.
[3] R.D. Braun and F.H. Walters, Laboratory Experiment No. 35, "Determination of Fluoride in Tap Water With the Fluoride-Selective Electrode" in "Applications of Chemical Analysis", McGraw-Hill Book Co., New York, 1982, pp. 222-226
[4] Willard, Merritt, Dean and Settle, Jr., “Instrumental Methods of Analysis, Seventh Ed., Wadsworth, 1988, Chap. 22 and particularly pp. 682-691
[5] D.A Skoog and West, “Principles of Analytical Chemistry. Ninth Ed., Saunders College Publishing, Orlando, FA, 1992, Chap. 21
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