Calcium Analysis of Prime Eastern Pharmaceuticals Calcium Tablets via EDTA Titration, ISE, and AAS Kelsi Brown, Jon Heibel, Robert Fuller, and Thomas Zernell ABSTRACT: The calcium content of calcium carbonate tablets was analyzed in three different ways. First, 500 mL of an unknown solution prepared from 0.1878 g of calcium tablet was titrated with a 0.01336 M EDTA solution prepared from 1.2436 g of disodium EDTA hydrate. Then, four standard CaCO3 solutions 0.0001-0.001 M were prepared and analyzed using calcium ion selective electrode (I.S.E.) potentiometry to produce a calibration curve of potential versus the logarithm of standard concentration. Unknown solutions were then analyzed using the I.S.E. Lastly, four standard CaCO3 solutions were prepared between 5 and 20 ppm and analyzed using flame atomic absorption to create another calibration curve, which is used to analyze two unknowns. The EDTA titration, potentiometric analysis, and atomic absorbance data yielded 34.25±0.20, 32.67±0.24, and 33.16±1.28 percent respectively. The advertised mass percentage of calcium was approximately 44.44%, which lead to the conclusion that the tablets were considerably mislabeled. For many years Prime Eastern Pharmaceuticals, Ltd has produced a popular and very successful natural calcium supplement. Each two-tablet serving was labeled to have 1.6 g of calcium in the form of calcium carbonate (CaCO3) per every two tablet serving size. Assuming an average tablet mass of 1.8 grams the mass percent calcium as advertised was 44.44 percent. Despite its long-standing tradition and popularity the calcium dietary supplements made by Prime Eastern Pharmaceuticals, Ltd have recently come under legal fire for allegedly reducing the amount of the mineral in its tablets without altering the label. Class action lawsuits have been filed and consequently testing was required to determine the legitimacy of the claims against the manufacturer. Three analytical techniques were used in the determination of calcium, the first of which was complex formation titrimetry. The hexadentate ligand ethylenediamenetetraacetic acid (EDTA) is used as a titrant because it complexes with most metal ions. Figure 1 shows the fully protonated form and Figure 2 shows the way in which the fully deprotonated Figure 1 form of the EDTA ligand bonds to a metal. The bond is coordinate covalent, meaning all the electrons in each bond come from the ligand. Other comments about this Figure 2 type of bonding can be made about the structure of the complex. For example it is clear from figure 2 that the bonding is in a one-to-one ratio, 1 figure 3[5] typically this value is around 10-6 - 10-8M. Similarly the range of linear response refers to the region in which the EMF varies linearly because at activities above 0.1 M and below 10-5 M ionic interferences cause deviation from linearity[5]. Both of these phenomena are illustrated in figure 3[5], which is a plot of EMF versus activity for an ion having a +1 charge. The final analytical test performed on the Figure 3 calcium tablets was calcium determination by flame atomic absorption. Also referred to as atomic absorption spectroscopy (AAS), this technique measures absorbance based on the excitation of electrons in the atomizer. The term flame atomic absorption is used to note that the excitation of electrons in this specific method is accomplished using a flame. The atomized sample is then exposed to electromagnetic radiation (light). This radiation can come from several sources but most commonly is introduced by a hollow cathode lamp (HCL) source. After passing through the atomized sample the light, some of which has been absorbed, is passed through a monochromator, which selectively reduces the light to a single wavelength. A detector then measures the strength of this light and gives an absorbance readout. Figure 4[4] shows a schematic of a general atomic absorption spectrophotometer. which makes most calculations simple. Also, it can be noted that, because there are six coordinate bonds per one metal atom, the resulting complex is highly stable. This stability combined with an incredibly fast reaction rate explains why EDTA titrations are reliable and quantitative. The second analytical technique used for calcium determination took advantage of potentiometry by using a calcium ion selective electrode. These electrodes measure the potential difference or electromotive force (EMF) created under equilibrium conditions by a specific ion. For the analysis of the calcium tablets a Vernier calcium I.S.E. was used to measure the potential difference across its PVC membrane. Generally these electrodes are able to measure the potential difference because the membrane that separates the solution from the half-cell contained in the electrode only permits certain ions (in this case Ca2+) to be exchanged across it. Because the concentration of the target ion is kept constant inside of the electrode, the potential difference will vary linearly with respect to the base-10 logarithm of the ions activity in solution. The slope of this curve is give by the Nernst equation and only depends on the charge of the ion (n) being analyzed. The slope for the calcium calibration curve is 29.58 mV. E= E0+(59.16/n)*Log(ACa2+) Nernst Equation One last consideration regarding the use of I.S.E. is the detection limit and range of linear response. The detection limit is the lowest concentration that the electrode can accurately measure. The value of the detection limit is defined by extrapolating the two linear sections of the EMF versus log(A) plot as shown in 2 Figure 4 AAS results are only relevant if comparable to the analysis of standard solutions. This includes the calibration of the machine to readout zero absorbance in the pure solvent. From this data a calibration curve can be made to determine the concentrations of unknown samples with a trend line passing through the origin of the absorbance versus logarithm of activity plot. All three methods were used to obtain the mass percent of calcium in the calcium tablets in question. The samples in question must be proven definitively to have a calcium content less than 44.44 mass percent to validate the claims made in the aforementioned class action lawsuits. was used for titration of the unknown solution. A Calcium tablet was crushed and 1.2436g of the tablet was dissolved in a 150-ml beaker using deionized water. 6 M Hydrochloric acid (36.4611 g/mol) was added drop wise until the solution dissolved and the solution was boiled to expel Carbon Dioxide. Ammonium hydroxide (35.04588 g/mol) was added to the solution to reach a pH of 6. The pH was measured by moistening a piece of pH paper. The solution was then transferred to a 250-ml volumetric flask and diluted to the mark using deionized water. Using a pipette 50-ml of the unknown solution was then transferred into each of the three 250-ml Erlenmeyer flasks. An additional 100 ml of deionzed water was added to a fourth flask and this was labeled as “Blank”. 15 ml of pH 10 buffer solution along with 6 drops of Calmagite and 4 drops of methyl red indicators were added to both the unknown solutions and the Blank in order to identify when the endpoint of the titration was reached. The blank and unknown solutions were then titrated with the EDTA solution until they reached a distinct blue color. The unused ammonia, buffer, and hydrochloric acid reagents were disposed of in the appropriate waste bottles. All other solutions were discarded in the sink and flushed with water. EXPERIMENTAL SECTION: MATERIALS The specifications for the Calcium tablet in question are as follows: 800 mg/tablet with Vitamin D 1 serving of = 2 tablets Calcium as calcium carbonate: 1.6g Vitamin D as cholecalciferol: 800 IU Other ingredients include Maltodextrin, Powdered cellulose, Hypromellose, Mineral oil, Titanium dioxide, Triethyl citrate, Polysorbate 80, Carnauba wax, Stearic acid, Magnesium stearate, and Crospovidone. No gluten, lactose, preservatives, or artificial flavors were included in the tablet. Ion Selective Electrode. 0.4731 g of the crushed Calcium tablet was used and was dissolved with 6 M HCl (36.4611 g/mol). 100 ml of deionized water was added to the solution and then the solution was boiled for about 2 minutes. 1 M NaOH (35.04588 g/mol) was added to the solution in order to neutralize it. After the solution was neutralized it was EDTA Titrimetry. 1.2436 g of disodium EDTA hydrate (372.24 g/mol; volume of .250 L; molarity of 0.01336) was used and was dissolved in a 250-ml volumetric flask using 200 mL of boiled deionized water. The solution was then cooled to room temperature and diluted to the mark. This preparation of EDTA 3 then transferred into a 500-ml volumetric flask and diluted to the mark using deionized water. 5 mL of the diluted solution was transferred into a 100-ml volumetric flask and diluted to the mark with deionzed water and this was used for the analysis of the unknown solution. 0.5035 g of standard Calcium Carbonate (100.0869 g/mol) was dissolved with 6 M HCl. 100 mL of deionized water was added to the solution and then the solution was boiled for about 2 minutes and neutralized with 1 M NaOH solution. The neutralized solution was then transferred to a 500-ml volumetric flask and diluted to the mark with deionized water. The following table was then used to generate the 4 calibration standards: mL of 0.01 M CaCO3 solution added to 100 mL volumetric flask: 1 2 5 10 Diluted Concentrations CaCO3 solutions Moles/Liter 0.0001 0.0002 0.0005 0.001 The specifications for the Vernier calcium ISE are as follows[2]: Range: 0.20 to 40,000 mg/L or ppm (5 × 106 M to 1.0 M) Resolution % of reading: 1.4% Low scale reading: 0.20 ±0.0028 High scale reading: 40,000 ±560 mg/L pH Range: 3 to 10 Interfering Ions: Pb2+, Hg2+, Sr2+, Cu2+, Ni2+ Electrode Resistance: 1 to 4 MΩ Electrode Slope (log voltage vs. concentration): +28 mV/decade Reproducibility: ± 5% of reading Temperature range (can be placed in): 0 to 50°C (no temperature compensation) Minimum immersion: 1 inch Electrode Length: 155 mm Body Diameter: 12 mm Cap Diameter: 16 mm Cable Length: 100 cm Flame Atomic Absorption. For the flame atomic absorption experiment, a Texas A&M chemistry lab technician used a Shimadzu flame atomic absorption spectrophotometer. The 4 standardized solutions of CaCO3 were created using 0.25 grams of standardized CaCO3. The CaCO3 was dissolved in 6 M HCl solution and diluted with approximately 100 mL deionized water and boiled to dispel CO2. The solution was then diluted in deionized water in a 500 mL volumetric flask. Volumetric pipettes were used to quantitatively transfer 2.5, 5, 7.5, and 10 mL of the standardized solution to separate 100 mL volumetric flasks and diluted with deionized water to create 5, 10, 15, and 20 ppm CaCO3 solutions respectively. The standardized solutions were analyzed with the flame atomic absorption spectrophotometer to create a calibration curve. The unknown solution was prepared from 0.2334 grams of Prime Eastern Pharmaceuticals Natural Calcium tablet that was ground to a fine of in Table 1 The Vernier calcium ionselective electrode was used to measure the potential for all of the samples. The Calcium ISE has a combination-style, non-refillable, gel-filled electrode and the membrane has a limited life expectancy. However, its replaceable module allows the used membrane module to be simply discarded and replaced with a new one. For this experiment two trials were run for each of the 4 calibration samples and the unknown sample. A calibration curve was generated by plotting the potential of the standards versus the log of their respective concentrations. A trend line was used to determine the concentration of the unknown sample and then the concentration was used to determine the weight % of Calcium. 4 powder using a mortar and pestle. The crushed tablet was dissolved with a few drops of 6 M HCl then diluted with approximately 100 mL of deionized water. The solution was then filtered with filter paper, boiled to dispel CO2, and diluted with deionized water in a 500 mL volumetric flask. 7 mL of the diluted unknown solution were then transferred quantitatively using a volumetric pipette into a 100 mL volumetric flask and diluted using deionized water. This solution was analyzed in the flame atomic absorption spectrophotometer and plotted on the calibration curve formed from the standardized solutions to find the absorbance. The specifications for the Shimadzu atomic absorption spectrophotometer used are as follows[1]: EDTA ISE AAS Trial 1 Trial 2 Trial 3 Average 34.326% 32.501% 34.060% 34.397% 32.835% 32.255% 34.012% - 34.245% 32.668 % 33.158% Table 2 Average Standard Deviation 33.484% 0.91755% Table 3 EDTA Titrimetry. 500 mL of a 0.01336 M EDTA solution was prepared for titration of the unknown sample solution from 1.2436 g of the available EDTA hydrate. Now 500 mL of an unknown solution of calcium tablets was prepared from 0.1878 g of the crushed tablet. From this sample solution a 50 mL volumetric pipette was used to transfer three 0.03756 g (in 50 mL) aliquots of the unknown into three Erlenmeyer flasks for titration. Three titrations were performed to a phenolphthalein endpoint. Trials 1, 2, and 3 reached the endpoint after 24.07, 24.12, and 23.85 mL of the titrant respectively. From here the calculations shown in “Calculations” section of this report were used to find the mass percent calcium in each of the three trials. The number of moles of EDTA react in a one-to-one ratio with all metal ions in solution as was illustrated by figure 2 that explains the complex formation that EDTA is involved in with metal ions. This fact leads to the amount of calcium in each titration, which can be compared to the mass of the tablet per each 50 mL aliquot to find the mass percent calcium. The resulting calcium content calculated for the trials 1-3 were 34.326, 34.397, and 34.012 mass percent calcium respectively with an average of 34.245±0.205 mass percent. One issue that can be presented for this result is whether or not the Optics: Double Beam (chopper mirror) Monochromator: aberration corrected Czerny-Turner monochromator Wavelength range: 190-900 nm Slit: 0.2 nm, 0.7 nm Manual setting Frequency: 100 Hz Chamber: Polypropylene Gas control: manual setting of flow rate; automatic Air/ N2O switching system Dimension and weight: W690 x D425 x H370 mm, 38 kg Ambient temperature and humidity range: Temperature: 10~35°C Humidity: 45~80% (but less than 70% if temperature is over 30°C Power requirements: AC220V, 230V, 50/60Hz, 300 VA Results and Discussion. Through EDTA titration of metal ions, calcium ion selective electrode potentiometry, and atomic absorption spectroscopy the following results (shown in table 1) were obtained for the mass percent of calcium in the tablets. 5 EDTA titration reaction was exclusive to calcium. From the label it is known that magnesium stearate and titanium dioxide are both present in the tablet in unknown amounts. Of these two metal containing compounds TiO2 is insoluble in water but magnesium stearate is slightly soluble which could contribute to a small systematic error in the calculations results. in both trials are shown figure 5a and 5b and table 5 shown below. From this data the mass percent of calcium in the tablets was calculated using the trend line approximation. These calculations are shown in the “Calculations” section of the report. From this data the logarithm of molarity and therefore molarity were calculated using the trend line for each trial. From molarity the calcium content of the unknown sample was then calculated to be 32.50 and 32.84 mass percent in trials 1 and 2 respectively with an average value of 32.668±0.2365 mass percent calcium. Though at first glance these results appear precise there is some room for discrepancy and further questioning. The slope of the potential graph in trial 1 is within the normal allowable range of 25-30 but in trial 2 the trendline deviates significantly from the theoretical value. Potentiometric Analysis. 500 mL of a 0.01006 M CaCO3 standard solution was prepared for generation of a potential calibration curve. This stock solution was then diluted into four 100 mL standards by dilution factors of 100, 50, 20, and 10 respectively to each be Table 4 analyzed using a calcium I.S.E. The specifications for each of these solutions are given in table 4 and were used for the independent axis on the calibration curve. The logarithm of the solutions molarity was then used to plot a potential difference versus logarithm of molarity plot. The plot and its trend line as well as the readings for the unknown Figure 5b Table 5 Flame Atomic Absorption. When the absorbance of the standardized Figure 5a 6 solutions was plotted vs. their respective concentrations in ppm, the data yielded a linear line with a slope of 0.0139. Taking absorbance as the dependent variable and concentration as your independent variable, this graph represents Beer’s Law: A = bc ( is the molar absorptivity, b is the path length of the light through the solution, c is the concetration of the species, and A is the absorbance). The slope accounts for the two constants in the equation ( and b). The plot of absorbance versus the ppm concentration of calcium and the corresponding trend line are shown in figure 6 while the raw data for the standards and unknowns are shown in table 6. certainty to say that from the absorbencies of the two trials of our unknown solution, trial #1 and trial #2 yielded concentrations of 11.1295 ppm and 10.5396 ppm respectively. This data yielded mass % Calcium of 34.0602 % in trial 1, and 32.2548 % in trial 2. The unknown trials had an average of 33.1575±1.2776 mass percent calcium. Conclusions Following the recent filing of class action lawsuits against Prime Eastern Pharmaceuticals, conformation testing was performed to verify the calcium content of the tablets in question. The three methods used for analysis were EDTA titrations, ion selective electrode potentiometric analysis, and atomic absorption spectroscopy. Through seven trials total the resulting calcium concentrations was determined to be 33.484±0.918 mass percent calcium. There were some significant discrepancies in the data including the systematic error in the titrimetry and the slope in trial 2 of the potentiometric analysis that varies from the theoretical value. The former is likely a result of other metal ions forming a complex with EDTA. The magnesium stearate is likely the culprit because of its nonnegligible solubility. The latter on the other hand may be due to random error resulting from the consistency with which the data is taken. From the label the calcium content of the tablets should be 44.44 mass percent. The results of this analysis show with strong repeatability that the claims made on the label of this popular supplement brand are in fact a false statement. The calcium content of Table 6 Figure 6 The correlation coefficient shows a minimal amount of variation in the relationships between the calcium concentrations and absorbencies in the standardized solutions. Therefore, we could use the trend line equation with reasonable 7 the tablets is actually 25 percent less than the advertised amount. 8 Calculations 9 10 References [1]"Atomic Spectroscopy." Shimadzu Excellence in Science. Shimadzu. Web. 2 Dec 2012. <http://www.ssi.shimadzu.com/p roducts/product.cfm?product=aa6 200>. [2]"Calcium Ion-Selective Electrode." Vernier. Vernier . Web. 2 Dec 2012. <http://www.vernier.com/produc ts/sensors/ion-selectiveelectrodes/ca-bta/>. [3]Rowe, M.W; Hyman, M.; Miller, A.E.; Javier, A.C.; Binamira-Soriaga, E .. Quantitative analysis Laboratory Manual. 2012. [4]Tissue, Brian M.. "Atomic-Absorption Spectroscopy (AA)" The Chemistry Hypermedia Project. 02 Dec. 2012. The Chemistry Hypermedia Project. 02 Dec. 2012 <http://www.files.chem.vt.edu/ch em-ed/spec/atomic/aa.html>. [5]Wroblewski, Wojciech . "Ion-Selective Electrodes" Chemical Sensors Research Group. <CSRG. 02 Dec. 2012 <http://csrg.ch.pw.edu.pl/tutorial s/ise/>. 11