PREPARATION AND STANDARDIZATION OF A SODIUM HYDROXIDE SOLUTION (POTASSIUM HYDROGEN PHTHALATE METHOD) Solid sodium hydroxide and sodium hydroxide solutions are not a very stable O substances. They adsorbs both water and carbon dioxide from the air, changing C OK the both the purity of the solid and the concentration of a solution. As a result, C OH accurate standard sodium hydroxide solutions can not be prepared directly from its solid since its purity is never guaranteed but rather, an approximate solution O is prepared and then standardized against a pure substance or a solution of KHC8H4O4 known concentration. In this experiment, you will prepare a solution of sodium hydroxide and standardize it by titrating it against a measured mass of potassium hydrogen phthalate, KHC8H4O4. Note its structure above. Potassium hydrogen phthalate is often used to standardize a strong base such as sodium hydroxide since it is stable, can be obtained in high purity, and does not readily absorb water. In a similar experiment, a student measured 0.171 gram of potassium hydrogen phthalate into a small beaker. He then titrated the potassium hydrogen phthalate against a sodium hydroxide solution he had prepared earlier. The initial reading of the volume of NaOH solution in the syringe was 1.00 ml and 0.20 ml at the end of the titration. Using this information, he was able to determine the concentration of his sodium hydroxide solution. The first step in the calculation is to determine the number of moles of potassium hydrogen phthalate reacted. moles of KHC8 H 4 O 4 = mass of KHC8 H 4 O 4 0.171 g = = 0.000838 mol formula mass of KHC8 H 4 O 4 , 204g / mol 204g / mol Now that we know the number of moles of KHC8H4O4, we can find the number of moles of NaOH reacted with the KHC8H4O4 and the concentration of the NaOH solution. First, we must find the volume of NaOH solution reacted. 1.00 ml - 0.20 ml = 0.80 ml NaOH solution. 0.80 ml divided by 1000 ml per liter = 0.00080 liter of NaOH solution. KHC8 H 4 O 4 (aq) + NaOH(aq) KNaC8 H 4 O 4 (aq) + H 2 O() 0.000838 mol KHC8 H 4 O 4 x Molarity = 1 mol NaOH = 0.000838 mol NaOH 1 mol KHC8 H 4 O 4 # moles NaOH 0.000838 mol = = 1.05 M NaOH Volume NaOH solution 0.00080 liters This same calculation is repeated for each of your trials and the average concentration 1 calculated. In this experiment you will measure your skill by determining the molecular mass of the KHC8H4O4, using a titration curve developed from your trials using the following technique. A pH titration is an important tool in analytical 14 chemistry since it allows the experimenter to better understand the titration process and provides 12 important information regarding the nature of the 10 acid and base reacted. Furthermore, a pH titration provides a more accurate end-point or “equivalence 8 point” than can be obtained using only an indicator. 6 Once the “equivalent point” is known, pH titrations can be used to determine the pKa of the acid, a 4 value related to the strength of the acid. pH 2 titrations also allow the experimenter to better 0.0 0.2 0.4 0.6 0.8 1.0 determine the best choice of an acid-base indicator used in conventional titrations. The adjacent graph demonstrates a typical pH titration and some of its A typical pH titration of a weak monoprotic acid important features. vs a strong base The most important data point on the graph is the equivalence point. At the equivalence point, the number of moles of aqueous hydrogen ion, H+(aq), have been neutralized by exactly the same number of moles of aqueous hydroxide ion, OH-. The equivalence point may be used to determine the stoichiometry of the reaction and even the molar mass of the acid. The graph has its maximum slope at the equivalence point. That is, the addition of a small volume of titrant produces the greatest change in the pH of the solution. This concept is important since it is the basis of the graphical analysis of the data. Another important point on a pH titration graph is at one-half the equivalence point. At one-half the equivalence point, exactly one-half of the acid in the solution has been neutralized giving a solution with an equal concentration of both the acid and its conjugate base. Since the concentration of each of the materials is the same, then the pH of this solution equals the pKa of the acid as predicted by the Henderson-Hasselbach equation: pH pK a log [Base ] [Acid] That is, since the concentration of both the acid and its conjugate base are equal, their ratio is 1, and the log of 1 equals 0. Therefore, the log [conjugate base] over the log [conjugate acid] term drops out of the expression and the pH of the solution coincides with the pKa. This phenomenon occurs only at one-half the equivalence point. 2 The propose of this experiment is to perform a pH titration with of weak acidic salt , KHC8H4O4, , and determine its pKa. A good approximation of the equivalence point in a pH titration may determined graphically 14 using the following method. While not always perfect, this method allows the experimenter to 12 determine both the equivalence point and pKa of the 10 acid quickly. Step 1. Prepare your graph by plotting the pH of the solution verses the volume of base added to the solution. Use as large and best quality graph paper available to you. It is not necessary to connect the points at this time. 8 6 4 2 0.0 Step 2. Draw the best straight line through both linear regions of the graph where buffering occurs. The best line represents the general direction of the data, includes as many point as possible, and has as many points above the line as below it. Extend this line beyond the data points so that it may be used in the next step, determining the equivalence point. Note the drawing above. 0.2 0.4 0.6 0.8 1.0 0.2 0.4 0.6 0.8 1.0 14 12 10 8 Step 3. Draw a line through the portion of the 6 graph with the greatest slope. Measure the length of this line between the two lines drawn in Step #1, 4 and find its center. The center of this line is approximately the equivalence point. Drop a line 2 0.0 perpendicular to the x-axis at this point to determine the volume of titrant added to reach the equivalence point. Once this value is known, the concentration of a monoprotic acid may be determined from the relationship: Vacid x M acid Vbase x M base Step 4. Once the equivalence point has been determined, the pKa of the acid can be obtained. At a volume of one-half the equivalence point volume, the pH of the solution equals the pKa of the acid. In the adjacent example, the equivalence point volume is 0.80 ml giving a value of 0.40 ml at one-half the equivalence point. The pH of the solution when 0.40 ml of base has been added to the solution is 5.4. Consequently, the pKa of this acid would be 5.4 and the Ka would 10-5.4 or 4 x 10-6. 3 Materials: 2-1.0 ml syringes, 30-ml or 50-ml beaker, ring stand and clamp,1-microtip 1-ml pipet, magnetic stirrer and stir bar (optional), pH probe, Potassium hydrogen phthalate, solid sodium hydroxide, spatula, a 25-ml graduated cylinder, 100-ml beaker,3-microtip polyethylene transfer pipets, 0.5% phenolphthalein solution, 30-50 ml beaker, wash bottle, polyethylene storage bottle. Procedure: 1. If necessary, attach tip extenders to both hypodermic syringes. It is important to first rinse the syringe with the solution being measured before filling them to be certain that the solution inside the syringe has the same concentration as the solution being studied. Fill the base syringe with sodium hydroxide solution prepared in next procedure step. Note that syringes are color-coded. Partly fill a microtip polyethylene transfer pipet with phenolphthalein solution, the acid-base indicator in this experiment. Attach a tip extender to the hypodermic syringe. It is important to rinse and prepare the syringes as directed by your instructor. Fill the base syringe with the sodium hydroxide solution. Partly fill a microtip polyethylene transfer pipet with phenolphthalein solution, the acid-base indicator in this experiment. Record the initial volume of the NaOH solution in the syringe to the nearest 0.01 ml. 2. Tare a clean, dry 100 ml beaker. Add between 0.9 gram and 1.1 grams of solid sodium hydroxide to the beaker and record the mass of the solid to the precision of your balance. Add 10-15 milliliters of distilled or deionized water to the solid and stir or swirl the mixture until the sodium hydroxide pellets dissolves completely. Transfer the solution to a 25-ml graduated cylinder. Add distilled or deionized water to the graduated cylinder until the total volume reads 25.0 ml. Pour the solution back and forth a few times between the beaker and graduated cylinder a few times to insure that the solution is mixed throughly. It may be necessary to cool the solution in the graduated cylinder by running cold tap water around the outside until its temperature is approximately room temperature. This step is important since its volume will change as it cools causing its concentration to increase. Transfer the solution to a small flask or storage bottle to act as a source of the sodium hydroxide solution for this and subsequent experiments. 2. Tare the small beaker to be used as a reaction vessel. Add between 0.15 gram and 0.17 gram of potassium hydrogen phthalate( an Acidic Salt) and mass to the precision of your balance. Add a few milliliters of distilled or deionized water from your wash bottle and swirl the 4 mixture until most of the solid dissolves. Add one drop of the phenolphthalein indicator to the potassium hydrogen phthalate solution in the reaction vessel and swirl. 3. Throughly rinse the pH electrode with distilled water and loosely clamp it on the ring stand. Lower the pH probe into the solution until the glass bulb of the electrode is totally immersed in the solution. It may be necessary to add more distilled water at this time. If you have a magnetic stirrer (or plastic coated paper clip) , place a small stir bar into the solution and adjust the position of the pH probe so the glass member of the electrode is completely immersed in the solution and doesn’t touch the stir bar. Mix the solution in the beaker by swirling or by stirring with the magnetic stirrer. Finally, clamp the pH probe securely to the ring stand. 4. Begin the titration by recording both the initial syringe reading and pH of the acid/water mixture before any base has been added on your data table. Add two drops of base, swirl or stir the mixture, and wait until the pH reading stabilizes. Potassium hydrogen phthalate dissolves slowly and therefore the solution must be mixed for some time after each addition to be certain that the reaction is complete. Record both the pH and syringe reading. Continue this process of adding base in two drop increments, stirring, and recording both the syringe reading and the pH of the solution. Be certain that you observe the color of the solution and note at what pH the color of the phenolphthalein just changes. Eventually, the pH of the solution will begin to rise much faster than originally observed. At this point, add the base in one drop portions. Towards the end of the titration where change in the pH has slowed, the two drop rate can be resumed. Add base until exactly 1.00 ml of sodium hydroxide solution has been added to the beaker. 5. Throughly rinse and dry the reaction vessel, refill the NaOH syringe, and repeat the experiment as time permits. 6. Throughly rinse all glassware and the syringe before returning them to their storage area. Discard the phenolphthalein pipet. Save the standardized sodium hydroxide solution for future experiments if directed to do so by your instructor. Calculations: Q1. Calculate the number of moles of potassium hydrogen phthalate, KHC8H4O4, reacted with the sodium hydroxide solution from the mass reacted and its formula mass, 204 g/mol. Q2. From the number of moles of potassium hydrogen phthalate reacted and the volume of NaOH solution consumed, find the molarity of the sodium hydroxide for each of your trials. Q4. Calculate the average molarity of your sodium hydroxide solution. Q5. (a) Using the mass of sodium hydroxide added to the graduated cylinder, what is the 5 expected molarity of the sodium hydroxide solution prepared in this experiment? (b) How do you account for the discrepancy between your experiment value from the titration and the value calculated from the mass of sodium hydroxide used to prepare the sodium hydroxide solution? Q6. Determine the volume of sodium hydroxide added to the beaker containing the acid salt solution by subtracting the syringe reading at that point from the initial syringe reading. For example, assuming a base syringe full of solution read 1.00 ml and the data point value was 0.44 ml, then the volume of base added to beaker would be the difference or 0.56 ml. Q7. Plot the pH of the solution verses the volume of sodium hydroxide added to the beaker. Use the largest and highest quality graph paper available to you. It is not necessary to connect the points. Q8. Determine the equivalence point as describe in the introduction to this experiment. Q9. Determine the pH of the acid solution at one-half the equivalence point. The pKa of a weak acid is the pH at exactly one-half the equivalence point. Q10. What is the Ka of your weak acid? This is calculated from the pKa determined in question #Q9? Q11. Find the average pKa of these values. Q12. Why are you able to use phenolphthalein as an indicator to find the equivalence point or endpoint of a titration instead of a pH meter? Explain you answer using the data obtained in this experiment. Q13. What do you believe is the main source of error in this experiment? How could that error be corrected? 6 DATA: Mass of solid sodium hydroxide:____________grams Trial #1 Mass of potassium hydrogen phthalate, KHC8H4O4 Trial #2 g. g. Initial volume of NaOH solution ml. ml. Final volume of NaOH solution ml. ml. Volume of NaOH reacted ml. ml. Moles of KHC8H4O4 reacted mol mol Moles of NaOH reacted mol mol M. M. Concentration of the NaOH solution, in moles/liter Average concentration of the NaOH solution 7 M. Trial II Trial I Syringe Reading pH Syringe reading Syringe Reading pH pH Syringe reading 1. ml 26. ml 1. ml 26. ml 2. ml 27. ml 2. ml 27. ml 3. ml 28. ml 3. ml 28. ml 4. ml 29. ml 4. ml 29. ml 5. ml 30. ml 5. ml 30. ml 6. ml 31. ml 6. ml 31. ml 7. ml 32. ml 7. ml 32. ml 8. ml 33. ml 8. ml 33. ml 9. ml 34. ml 9. ml 34. ml 10. ml 35. ml 10. ml 35. ml 11. ml 36. ml 11. ml 36. ml 12. ml 37. ml 12. ml 37. ml 13. ml 38. ml 13. ml 38. ml 14. ml 39. ml 14. ml 39. ml 15. ml 40. ml 15. ml 40. ml 16. ml 41. ml 16. ml 41. ml 17. ml 42. ml 17. ml 42. ml 18. ml 43. ml 18. ml 43. ml 19. ml 44. ml 19. ml 44. ml 20. ml 45. ml 20. ml 45. ml 21. ml 46. ml 21. ml 46. ml 22. ml 47. ml 22. ml 47. ml 23. ml 48. ml 23. ml 48. ml 24. ml 49. ml 24. ml 49. ml 25. ml 50. ml 25. ml 50. ml 8 pH
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