Lab 8 Report

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REPORT SHEET LAB 8: How does the pH electrode work? Date of the experiment: 10/19/23 Student Name: X Prelab Questions: 1. What is the Nernst equation and how is it related to pH? ? = ? ° 𝑅𝑇 𝑛? ln ( 𝐴 𝑚 𝐴 0 ) Cell reactions with H will have a value of E will dependent on the pH. The Nernst equation can predict the effect of pH on the cell reaction. Provide Equations 14-14, 14-16, 15-5 and 15-6 from your textbook. ??????: ? = ? ° 𝑅𝑇 𝑛? ln ( 𝐴 ? ? 𝐴 ? ? ) ?????? ?? 25 ????𝑖??: ? = ? ° 0.05916𝑉 𝑛 log ( 𝐴 ? ? 𝐴 ? ? ) ??????𝑖? 𝑃?????𝑖?? ?𝑖???????? ?? 25 ????𝑖??: ? = ???????? − 0.05916𝑉 𝑛 log𝐴 0 𝑅??????? ?? ????? ?????????: ? = ???????? + ?(0.05916𝑉)log𝐴 𝐻 + (????𝑖??) ? = ???????? − ?(0.05916𝑉)pH (????𝑖??) a. Define all the terms in those equations in a. (14-14): 𝑬 ° = 𝑅?????𝑖?? 𝑃?????𝑖?? R = Gas constant (8.314 J/mol * k) T = Temperature (K) F = Faraday Constant (9.649e-4) c/mol) n = number of electrons 𝚨 𝒊 = Activity Constant of Species (15-5): n = Charge of Analyte Ion (15-5 & 15-6): β = Electromotive Efficiency (1.00) 𝚨 ? = Activity in Outer (unknown) b. Explain why Equation 15-5 and 15-6 are different from 14-16. Equation 15-6 is for measuring glass electrode response and 15-5 is for electric potential difference for ion selective electrodes. 14- 16 is an equation that doesn’t consider electromotive efficiency like 15-6 does or the pH outside the electrode, like 15-5 does, but all equations are Nernst-like. c. Explain how Equation 14-16 is different from 14-14. 14-16 is only used at 25 C (room temperature conditions) whereas 14-14 can be applied at any temperature. 2. How is the Nernst equation displayed graphically? a. Equation 15-6 is graphed in Figure 15-19 on page 355. Using the points provided on the graph, and estimating as best you can, find the slope of the line. ??𝑖???: (4, 200)& (7.2, 0) ? = 0−200 7.2−4 = −62.5 mV b. With reference back to Equation 14-14, describe what would happen to the slope if the temperature was increased from 25°C to 37°C (body temperature).
If the temperature increases, this would cause the slope to increase relatively. The voltage, 0.05916V would increase with the temperature, and therefor the slope would become steeper/more negative. 3. How is activity involved with pH? a. Give the ionic strength equation (Equation 8-3). ? = 1 2 (? 1 ? 1 2 + ? 2 ? 2 2 + ⋯ ) b. Give the Extended Debye-Hückel equation (Equation 8-6) ???? = −0.51𝑧 2 𝜇 1−𝛼( 𝜇 305 ) c. Give the pH equation as defined in Equation 8-8. ?? = −???𝐴 𝐻 + d. Referring back to equation 15-6, how would an activity coefficient of 0.90 affect results compared to an activity coefficient of 1.00? Increasing ionic strength result s in the decrease of activity. Therefore, a γ of 0.90 would have a higher electric potential difference. 4. How does the pH electrode work? a. Draw Figure 15-14 in your notebook and label all the parts (for pre-lab question, you draw it in your notebook; for your report, take a picture 15-14). b. Explain the need for the air inlet in Figure 15-14. The air inlet allows air for the electrolyte to drain through the porous plug. It allows pressure to be released. c. Write out the line diagram found on page 352.
d. The aqueous solution on the inside is mixed with the aqueous Chlorine to make aqueous AgCl and solid silver to produce aqueous silver ions, aqueous Chlorine ions, and a solid silver precipitate. e. Paraphrase the last paragraph on page 352 that is right before Figure 15-14 and continues on the top of page 353. A glass electrode is considered an ion-selective electrode Combination electrodes use both glass and reference electrodes in a single unit. A thin glass bulb or tip at the bottom of the electrode is what measures pH. The reference electrode includes Ag wire and AgCl paste. This is the left side of the line diagram. The right side represents the Ag|AgCl core of the electrode. These two reference electrodes measure the electric potential difference across the glass membrane. The porous plug acts as a salt bridge by allowing the passing of electrolyte. Experimental Step 1. NaCl solution Mass of NaCl (g): 5.9971 g Calculate the molarity of the NaCl solution here using the equation editor: 5.9971 ? × 1 ??? ???? 58.443 ?/??? × . 1026 1000 ? = .1026 ? Step 2. The pH Electrode Standardization: Table 1: Standardization Data Collected Data Temperature (°C) 20.4 pH 4.00 (mV) 145.29 pH 7.00 (mV) -23.9 Electromotive Efficiency (%) as given by the instrume 96.2% Graph the data in Table 1 so it looks like that found in Figure 15-19 and label it Figure 1: Two-Point calibration of a pH electrode.
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What is the slope of the two-point calibration of the pH electrode? -56.397 What is the electromotive efficiency based on the slope? 95.32% Show your calculation: ∆? ∆𝑝𝐻 = −23.9−145.29 7−4 = −56.397 mV −? × 0.05916𝑉 = −0.056397𝑉 → −? = − 0.056397 0.05916 = −.9532 = −? → .9532 Standard Operating Procedure How to calibrate a pH meter 1. Turn the meter on using the power/light button 2. Press mode to ensure pH is selected 3. If there is a colored ring at the top (purple for this model), rotate it so the color black shows through the hole instead of white 4. Remove the storage bottle from the tip of the electrode and push the cap ring up the probe 5. Gently rinse the probe with DI water and wipe the probe, but be careful to only BLOT the tip where the membrane is 6. Submerge the tip of the electrode into pH 4 buffer solution and swirl the probe while pH is stabilizing 7. Once stable, press STD to standardize, then press the middle grey button to clear the history. Wait for the meter to say “Press STD to standardize,” then press STD 8. Remove the electrode from pH buffer, wash with DI and gently dry with a Kimwipe, and submerge in pH 7 buffer solution
9. Swirl the electrode until the meter reads “Stable,” then press STD and wait for the meter to say “Press STD to standardize”; then press STD and keep the electrode in solution until the meter displays a percent slope 10. The percent slope is ideally 100%, but acceptable between 90-100%. If out of that range, start the calibration over or try another meter. Include the model number: Fisher Scientific AB150 pH/mV Standard Operating Procedure How to measure the pH of a solution 1. Rinse the electrode with DI water and gently wipe with a Kimwipe, taking care to only blot the tip 2. If stirring the solution, press the “Stirrer” button to toggle the stirring on/off 3. After each sample, make sure to rinse and dry the electrode 4. Do not leave the electrode out of some kind of aqueous solution; keep it in the storage bottle, in DI water, or in a solution being measured. Leaving it exposed to air will dry it out and damage the electrode 5. Press and hold power/light for 3 seconds to turn the meter off when finished Include the model number: Fisher Scientific AB150 pH/mV Step 3. Effect on pH from dilution and salt content on an acid Molarity of HCl solution: 0.0998 M ± 0.0042 Molarity of HOAc solution: 0.083 ± 0.00213 Expected pH: 1.60 Expected pH: 2.92 Show calculation for pH: ???: 0.0998 ? × 0.025 ? = 0.0247 ??? ???; ? + ??? ?? ??? 𝑖? ? 1: 1 ???𝑖? → − log(0.0247) = ?. ?? 𝐴???𝑖? 𝐴?𝑖?: ??? = 4.756 → ?? = 10 −4.756 = 1.753 × 10 −5 = 𝑥 2 . 083 − 𝑥 = 0.001197 = [? + ] → − log(0.001197) = ?. ?? Table 2: Measured pH, mV, expected pH. Solution [NaCl] [HCl] or [HOAc] Expected pH Measured pH Measured mV A 0 .00998 2.00 1.99 260.1 B 0 9.98 × 10 −4 3.00 4.01 215.0 C 0 9.98 × 10 −5 4.00 4.03 178.3
D 0 9.98 × 10 −6 5.00 4.56 148.6 E 0 9.98 × 10 −7 6.00 4.85 126.6 B-NaCl .1026 9.98 × 10 −4 3.00 3.33 219.3 C-NaCl .1026 9.98 × 10 −5 4.00 4.19 167.1 D-NaCl .1026 9.98 × 10 −6 5.00 4.02 137.6 E-NaCl .1026 9.98 × 10 −7 6.00 4.24 115.1 AA 0 .0083 3.42 3.04 192.1 BB 0 8.3 × 10 −4 3.08 3.58 163.4 CC 0 8.3 × 10 −5 4.08 3.63 150.5 DD 0 8.3 × 10 −6 5.08 4.02 121.5 EE 0 8.3 × 10 −7 6.08 4.29 98.5 BB-NaCl .1026 8.3 × 10 −5 3.95 3.36 171.3 CC-NaCl .1026 8.3 × 10 −6 4.52 3.75 143.1 DD-NaCl .1026 8.3 × 10 −7 5.21 4.18 121.1 EE- NaCl .1026 8.3 × 10 −8 6.10 4.49 104.6 Sample calculations for Table 2: (Note that the concentration of NaCl is fixed to what was created ignore the minor dilution caused by creating Solution B from Solution A.) Show a calculation example for solutions C, C-NaCl, CC and CC-NaCl. C: − log(9.98 × 10 −5 ) = ?. ?? CC: − log(8.3 × 10 −5 ) = ?. ?? CC-NaCl: 1.753 × 10 −5 = 𝑥 2 8.3×10 −5 = 3.04 × 10 −5 → − log(3.04 × 10 −5 ) = ?. ?? Table 3 : Calculated ionic strength, μ, calculated activity coefficient, γ, calculated pH based on γ and μ. Solution μ γ Calculated pH based on γ and μ A .00998 .913 2.04 B 9.98 × 10 −4 .967 3.02
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C 9.98 × 10 −5 .989 4.01 D 9.98 × 10 −6 .996 5.00 E 9.98 × 10 −7 .999 6.00 B-NaCl .1034 .824 1.07 C-NaCl .1027 .824 1.07 D-NaCl .1026 .824 1.07 E-NaCl .1026 .824 1.07 Sample calculations for Table 3 using C and C-NaCl as examples: C: ? = 1 2 [(9.98 × 10 −5 × 1 2 ) + (9.98 × 10 −5 × 1 2 )] = ?. ?? × ?? −? ? = −0.51(1 2 ) ?.??×?? −? 1+(900( ?.??×?? −? 305 ) =. ??? C-NaCl: ? = 1 2 [(9.98 × 10 −5 × 1 2 ) + (9.98 × 10 −5 × 1 2 ) + (. 1026 × 1 2 ) + (. 1026 × 1 2 )] = . ???? ? = −0.51(1 2 )√.???? 1+(900( √.???? 305 ) =. ???
Using the mV readings, find the pH based on the calibration graph in Figure 1. Fill in Table 4. Table 4: Calculated pH based on calibration curve Solution Measured pH Measured mV Calculated pH based on Figure 1 A 1.99 260.1 1.43 B 4.01 215.0 2.76 C 4.03 178.3 3.41 D 4.56 148.6 3.94 E 4.85 126.6 4.33 B-NaCl 3.33 219.3 2.69 C-NaCl 4.19 167.1 3.61 D-NaCl 4.02 137.6 4.14 E-NaCl 4.24 115.1 4.54 AA 3.04 192.1 3.17 BB 3.58 163.4 3.68 CC 3.63 150.5 3.91 DD 4.02 121.5 4.42 EE 4.29 98.5 4.83 BB-NaCl 3.36 171.3 3.54 CC-NaCl 3.75 143.1 4.04 DD-NaCl 4.18 121.1 4.43 EE- NaCl 4.49 104.6 4.72 Sample calculation: ?𝑉 = −56.397(??) + 370.88 → 260.1 = −56.397(??) + 370.88 → ?? = 260.1 − 370.88 −56.397 = ?. ??
Post-Lab Questions (Answer in complete sentences): 1. What is electromotive efficiency measuring? Electromotive efficiency is a measure of how accurate a pH electrode is in measuring the pH of solutions. 2. How do the measured and expected values compare in Table 2. Is there a difference when NaCl is present? The measure and expected values for Table 2 were sometimes close and sometimes not. When NaCl was present, there was a not a common trend in pH change. The measured pH for solutions without NaCl were no closer to the expected pH than the solutions with NaCl. From this, we can conclude that salts do not have a significant effect on the pH of solutions. 3. How do the calculated values from Table 3 compare to the measured values in Table 2? When ionic strength and activity coefficients are considered, the pH for A-E were still somewhat far from what was measured. 3A was only .05 more than 2A, and 3C was .02 higher than 2C, but 3B was .99 more than 2B. It was a bit inconsistent. The most noticeable difference, however, was between the Table 3 pH ’s for the NaCl solutions and the measured ones from Table 2. The pH was unchanged for B-E of NaCl in table 3 but changed in table 2. 4. What happened to the pH measurement in the absence and presence of salt? What is attributed to the effect observed? The pH measurements for solutions without salt were more acidic than those with salt. This is because of the common ion effect, where ionization is suppressed due to both electrolytes having a common ion. In this case, the common ion was chloride. 5. The measurement of pH is really the measurement of activity. It is not common practice to find the activity coefficients when we measure pH. Explain why it is commonly ignored. Activity is commonly ignored because the pH with activity coefficients are generally very close to measured values, which was demonstrated in the data. This fact would be better supported if our meter had been properly calibrated. 6. How do the calculated pH values in Table 4 compare to those measured and listed in Table 2? The pH’s of table 4 and table 2 were supposed to be closer together, but again, our meter was poorly calibrated. Generally, using a calibration curve to calculate pH would yield similar results to the pH’s actually measured by the calibrated meter. 7. There are 9 errors in pH measurements as found on page 355-356 of the textbook. Explain how any or all of them were an error in the measurements in this lab experiment. The errors are standard, junction potential, junction potential drift, sodium error, acid error, equilibrium time, hydration of glass, temperature, and cleaning. 1. For our data, I think that the acid error applies because our pH was more acidic than expected for D, E, D-NaCl, E-NaCl, AA, CC, DD, EE, and NaCl BB-EE. The
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further into reading we got, the bigger the deviation became, indicating that the glass may have been saturated with hydrogen ion. 2. Equilibration time is another possible error, as some solutions took a whole minute to stabilize. This mostly became a problem with the Acetic Acid solutions.