D5

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Athabasca University, Athabasca *

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218

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Chemistry

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Jan 9, 2024

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docx

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1 November 14, 2023 Experiment D5: Titration Curves Purpose The purpose of this experiment is to develop two potentiometric titration curves and mathematically determine the equivalence point based on measurements of pH values of, (1) a solution of a strong acid, hydrochloric acid (HCl), with various volumes of a strong base, sodium hydroxide, (NaCl), HCl (aq) + NaOH (aq) NaCl (aq) + H2O (l) (1) hydrochloric acid Sodium hydroxide Sodium Chloric and (2) a solution of a weak acid, acetic acid (CH 3 CO 2 H), with various volumes of a strong base, sodium hydroxide, (NaCl), CH 3 CO 2 H (aq) + NaOH (aq) CH 3 CO 2 - NA + (aq) + H 2 O (l) acetic acid Sodium hydroxide Sodium Acetate CH 3 CO 2 - Na + (aq) + H 2 O (l) CH 3 CO 2 H (aq) + NaOH (aq) In order to determine the unknown concentration of sodium hydroxide from titration curve (1) and subsequently determine the unknown concentration of acetic acid in titration curve (2). Procedure The experiment was preformed using the same methodology as described in Experiment D5 of the Chemistry 218 Laboratory Manual pp. 85-92 and experimental data and observations were provided by the Athabasca University Chemistry 218 Laboratory with no revisions. Results Table 1. Total volume (mL) of sodium hydroxide, NaOH, added to the strong acid, hydrochloric acid (HCl), and resulting pH measurement taken with a glass/calomel electrode. Total Volume of NaOH (mL) pH (strong base) (strong acid) (salt of a strong acid) (2) (strong base) (weak acid) (salt of a weak acid) (3)
2 0.00 1.41 0.50 1.42 1.00 1.45 1.50 1.48 2.00 1.51 2.50 1.54 3.00 1.57 3.50 1.60 4.00 1.64 4.50 1.68 5.00 1.73 5.50 1.78 6.00 1.84 6.50 1.90 7.00 1.98 7.50 2.09 8.00 2.19 8.50 2.33 9.00 2.55 9.20 2.65 9.40 2.86 9.60 3.17 9.80 4.16 10.00 6.17 10.20 7.50 10.40 9.81 10.60 10.41 10.80 10.68 11.00 10.94 11.50 11.28 12.00 11.48 12.50 11.61 13.00 11.71 13.50 11.79 14.00 11.85 14.50 11.90 15.00 11.95 15.50 11.99 16.00 12.03 16.50 12.06 17.00 12.09 17.50 12.11 18.00 12.14
3 0.00 2.00 4.00 6.00 8.00 10.00 12.00 14.00 16.00 18.00 20.00 0.00 2.00 4.00 6.00 8.00 10.00 12.00 14.00 f(x) = 0.86 x − 1.9 Total NaOH added (mL) pH Figure 1. Total volume (mL) of sodium hydroxide (NaOH) added to the strong acid, hydrochloric acid (HCl), and resulting pH measurement taken with a glass/calomel electrode. Table 2. Total volume (mL) of sodium hydroxide (NaOH) added to the weak acid, acetic acid (CH 3 CO 2 H), and resulting pH measurement taken with a glass/calomel electrode. Total Volume of NaOH (mL) pH 0.00 3.04 0.50 3.44 1.00 3.65 1.50 3.82 2.00 3.96 2.50 4.08 3.00 4.17 3.50 4.26 4.00 4.34 4.50 4.42 5.00 4.50 5.50 4.57 6.00 4.65 6.50 4.73 7.00 4.80 7.50 4.90 8.00 4.98 8.50 5.06 9.00 5.16 9.20 5.21
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4 9.40 5.27 9.60 5.32 9.80 5.37 10.00 5.43 10.20 5.48 10.40 5.57 10.60 5.67 10.80 5.77 11.00 5.89 11.50 6.48 12.00 9.30 12.50 10.65 13.00 11.09 13.50 11.34 14.00 11.52 14.50 11.63 15.00 11.72 15.50 11.80 16.00 11.85 16.50 11.90 17.00 11.94 17.50 11.98 18.00 12.01 0.00 2.00 4.00 6.00 8.00 10.00 12.00 14.00 16.00 18.00 20.00 0.00 2.00 4.00 6.00 8.00 10.00 12.00 14.00 f(x) = 0.5 x + 2.48 Total NaOH added (mL) pH Figure 2. Total volume (mL) of sodium hydroxide (NaOH) added to the weak acid, acetic acid (CH 3 CO 2 H), and resulting pH measurement taken with a glass/calomel electrode.
5 Calculations 1. Line tangent to the upper portion of the pH titration curve, y = 0.857x + 1.424 Line tangent to the lower portion of the pH titration curve, y = 0.857x – 5.225 Half-way point, (1.424 + (-5.225))/2 = -1.9005 y = 0.857x – 1.9005 2. Equivalence point between sodium hydroxide and hydrochloric acid (10.18, 6.824) pH = 6.82 NaOH = 10.18 mL 3. Initial dilution of HCl [HCl] = 0.10 mol/L V HCl = 0.010 L V = 0.030 L [HCl] = (0.10 mol/L)(0.01 L)/(0.030 L) = 0.033 mol/L C 1 V 1 =C 2 V 2 [NaOH] = (0.033 mol/L) (0.030 L) / (0.01018 L) = 0.098 mol/L 4. Line tangent to the upper portion of the pH titration curve, y = 0.5x + 4.59 Line tangent to the lower portion of the pH titration curve, y = 0.5x + 0.37 Half-way point, (4.59 + 0.37)/2 = 2.48 y = 0.5x + 2.48 Equivalence point, (12.2, 8.58) pH = 8.58 NaOH = 12.2 mL 5. [CH 3 CO 2 H] = (0.098 mol/L) (0.0122 L) / 0.030 L = 0.04 mol/L [CH 3 CO 2 H] = (0.04 mol/L) (0.030 L) / (0.010 L) = 0.11 mol/L
6 Questions 1. Calculate the pH at the equivalence point in a titration between 10.00 mL of acetic acid (0.100 mol L 1 ) and sodium hydroxide (0.100 mol L 1 ). How does this value compare with the value you obtained in the experiment? Volume of NaOH V CH3CO2H = 0.010 mL [CH 3 CO 2 H] i = 0.100 mol/L [NaOH] i = 0.100 mol/L C 1 V 1 =C 2 V 2 V NaOH = (0.100 mol/L) (0.010 L) / (0.100 mol/L) = 0.010 L V tot = 0.010 + 0.010 = 0.020 L CH 3 CO 2 H = (0.100 mol/L) (0.010 L) = 1 x 10 3 mol NaOH = (0.100 mol/L) (0.010 L) = 1 x 10 3 mol [CH 3 CO 2 H] = 1 x 10 3 mol / 0.020 L = 0.05 mol/L [NaOH] = 1 x 10 3 mol / 0.020 L = 0.05 mol/L [CH 3 CO 2 H] [OH] [CH 3 CO 2 - ] [H 2 O] I 0.05 0.05 ≈ 0 - C - 0.05 - 0.05 + 0.05 - E 0 0 0.05 - [CH 3 CO 2 - ] [H 2 O] [CH 3 COOH] [OH - ] I 0.05 - 0 0 C - x - + x + x E 0.05 - x - x x k b = [ CH 3 COOH ] ¿¿ 5.3 x 10 10 = x 2 0.05 x ← x is small approximation
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7 x = ( 5.3 x 10 10 ) ( 0.05 ) = 5.15 x 10 -6 = [OH - ] pOH =− log ¿¿ ¿ log ( ¿ 5.15 x 10 6 ) ¿ ¿ 5.29 pH = 14 – pOH = 14 – 5.29 = 8.71 This pH value differs from our observed equivalence point, pH of 8.58, in the reaction of acetic acid and sodium hydroxide by an increase of 0.13 by relatively equivalent. 2. In the table shown in the “Results and Calculations” section of this experiment, the pH of the solution before sodium hydroxide has been added is indicated as being 1.00. This corresponds to the pH of a 0.10 mol L 1 solution of hydrochloric acid. Your initial pH reading was probably not 1.00. Why? The pH of the hydrochloric acid solution prior to the addition of sodium hydroxide in part A of the experiment was observed to be 1.41. This is due to the dilution of the 0.010 L 0.100 mol/L hydrochloric acid solution to 0.033 mol/L by the addition of 0.020 L of distilled water, lowering the value of the pH. 3. In a potentiometric titration between weak acid and a strong base, such as the one carried out in Part B of this experiment, the pKa of the weak acid is equal to the pH of the solution, when half of the volume of sodium hydroxide required to reach the equivalence point has been added. From your results, determine the pKa of acetic acid. Compare your value with the literature value. Literature value pKa = 4.76 Experimental value NaOH at equivalence point / 2 = 12.2 mL / 2 = 6.1 mL pKa = pH ≈ 4.68
8 The calculated experimental value of pKa of acetic acid in this experiment was approximately 4.68, 0.08 less than the literature value of 4.76. Conclusion A steep potentiometric titration curve of a strong acid, hydrochloric acid, and a strong base, sodium hydroxide, was constructed with an equivalence point of pH 6.82 and sodium hydroxide volume 10.18 mL. The concentration of sodium hydroxide was then determined from this titration curve to be 0.098 mol/L. A second flatter potentiometric titration curve was constructed of a weak acid, acetic acid and the same concentration of sodium hydroxide, with an equivalence point of pH of 8.58 and sodium hydroxide volume of 12.2 mL. From this the concentration of acetic acid was determined to be 0.11 mol/L. These data demonstrated the relationship between the strength of the acid used and the steepness of the titration curve produced.