Stacey Snyder 4th Hour 3/28/11 pH Lab Introduction: Making chocolate milk can be difficult. Sometimes there is too much milk or too much chocolate. In order for it to taste the best possible the equivalence point needs to be found. The equivalence point in this situation would be when the milk to chocolate ratio is when there is an equal consistency of chocolate in the milk. But in chemistry the equivalence point is when an acid and base are mixed together and there is a big jump showing that the two substances have a similar volume when they are similar molarities. The equivalence point is easily visible when the titrations are put into a chart and graphed. This graph is called the titration curve. With the titration curve, the equivalence point can be determined more precisely. With equivalence point the Ka or Kb can be determined if molarity and starting volume is know. If an acid and a base are titrated with the volumes and molaritys of both are known or can be determined then Ka or Kb can be determined. Materials and Methods: Obtained a ring stand, 2 burettes, and a clamp to hold the burettes above a beaker and was then set up. One burette was taken off the apparatus and cleaned, then rinsed with vinegar. After the burette was rinsed 15mL of vinegar was measured out and then dripped into the clean beaker, the empty burette was then placed back into the apparatus. The other burette was then taken down from the apparatus and cleaned, then rinsed with NaOH. Then after being rinsed with NaOH, more NaOH was added to fill the burette and start titrations. Then a calculator with a pH probe was obtained and placed into the beaker with vinegar. NaOH was added to the beaker in increments of ½ a mL, after each addition the pH was recorded. This was repeated until a jump occurred in the pH and then continued for 35 more additions. The apparatus was left not cleaned and the beaker was dumped. Stacey Snyder 4th Hour 3/28/11 Results: Titration curve of strong acid vs strong base 14 12 10 Trial 1 8 pH Trial 2 Trial 3 6 Trial 4 Trial 5 4 Trial 6 2 0 0 10 20 30 Volume of base added 40 50 60 Stacey Snyder 4th Hour 3/28/11 derivative of DpH over DV plot against average V(SA and SB) 18 16 14 12 Trial 1 DpH/DV 10 Trial 2 Trial 3 8 Trial 4 6 Trial 5 Trial 6 4 2 0 0 10 -2 20 30 40 50 average volume Strong Acid and Strong Base Volume at the Equivalence pH at Equivalence Initial Trial Point Point Volume Molarity 1 30.75 8.4 25 0.3075 2 13.75 9.6 10 0.34375 3 25.75 9.5 20 0.321875 4 43.25 6.3 35 0.308929 5 38.25 7.8 30 0.31875 6 18.25 6.7 15 0.304167 Average pH 8.05 Standard Deviation 1.38383525 60 61.75, 0.04 0 70 Stacey Snyder 4th Hour 3/28/11 Titration Curve of Weak Base vs Strong acid 16 14 12 10 pH pH pH 8 pH pH pH 6 pH 4 2 60, 0.82 0 60, 0 0 10 20 30 40 Volume of acid added 50 60 70 Stacey Snyder 4th Hour 3/28/11 derivative of DpH over DV plot against average V(SA and WB) 14 12 10 Trial 1 DpH/DV 8 Trial 2 Trial 3 6 Trial 4 Trial 5 4 Trial 6 2 0 59.75, 0 0 -2 10 20 30 Average Volume 40 50 60 Stacey Snyder 4th Hour 3/28/11 Strong Acid and Weak Base Volume at the peak change in pH from second graph Trial pH from first graph that matches with volume Initial volume Molarity 1/2 Eq. Pt. pH of 1/2 Eq. Pt. 1 11.75 6.5 12 0.244792 5.875 9.48 2 21.75 4.2 20 0.271875 10.875 9.7 3 6.75 10.4 0.16875 3.375 13.4 4 35.75 5.2 35 0.255357 17.875 9.57 5 26.75 4.7 30 0.222917 13.375 9.5 22.25 4.5 5.916666667 2.340441554 25 11.125 9.54 6 Average pH Standard Deviation 10 0.2225 Average Kb Standard Deviation TRUE *trail 3 was dropped for averages and standard deviations calculated. Kb 3.31131E10 1.99526E10 3.98107E14 2.69153E10 3.16228E10 2.88403E10 2.80888E10 5.1447E-11 1.8*10^-5 Stacey Snyder 4th Hour 3/28/11 Titration Curve of Weak Acid vs Strong Base 14 12 10 Trial 1 8 pH Trial 2 Trial 3 Trial 4 6 Trial 5 Trial 6 4 Trial 7 2 0 0 10 20 30 40 Volume of base added 50 60 70 Stacey Snyder 4th Hour 3/28/11 derivative of DpH over DV plot against average V (WA and SB) 9 8 7 6 Series1 Series2 DpH/DV 5 Series3 4 Series4 Series5 3 Series6 2 Series7 1 0 0 5 -1 10 15 20 25 30 Average Volume Weak Acid and Strong Base Volume at pH at pH at Equivalence Equivalence Initail 1/2 Eq. 1/2 Eq. Trial Point Point Volume Molarity Pt. Pt. Ka 1 12.25 8.8 15 0.204167 6.125 4.53 2.95121E-05 2 10.75 8.3 15 0.179167 5.375 4.6 2.51189E-05 3 23.25 8.2 27.6 0.210598 11.625 4.7 1.99526E-05 5 12.25 13 10 0.30625 6.125 4.6 2.51189E-05 6 15.75 9.15 20 0.196875 7.875 4.6 2.51189E-05 7 22.75 7.96 25 0.2275 11.375 4.62 2.39883E-05 Average pH 9.235 Standard Deviation 1.894346853 Average Ka 2.48016E-05 Standard Deviation 3.05499E-06 TRUE 1.7*10^-5 *Trial 4 was omitted from the table due to the fact that it was a copy of trial 3 Stacey Snyder 4th Hour 3/28/11 Calculations: Finding molarity of NaOH from 5 grams and 500mL. 5g NaOH 1mol NaOH 40g NaOH =.25M of NaOH .5 L NaOH Finding Molarity of HCl 11.75mL NaOH .25mol NaOH 1L 1mol HCl 1mol NaOH = .2448M HCl 12mL Finding Ka from pKa Ka =10^-pKa Ka=10^-9.48 Ka= 3.31131E-10 Conclusions: In the titration between a strong acid (HCl) and a strong base (NaOH), the equivalence point should have given a pH of around 7, however as show in the graph and table for SA and SB this was not the case. The average pH of the equivalence point is about 8.05. This may be due to lack of accuracy when adding the base, possibly adding too much at a time. It is off by a little bit so this could potentially become a problem. In the second titration between a strong acid and weak base the average pH was calculated to be about 5.92 at the equivalence point. The standard deviation of the pH was roughly 2.3, making the trials not extremely precise. If needed to determine Kb would alter, therefore not making the trial very accurate. This could be from miss reading on the graphs or poor lab technique. This was after the 3rd trial was dropped because it was so far off from the other trials. The Kb was calculated to be 2.80888E-10 and the actual is 1.8 *10^-5. Basically this is terrible; the two Kb’s are very different. In the last titration at the equivalence point the average pH was found out to be about 9.24. Again the standard deviation was roughly 2, making these trials also inaccurate. This could be from miss reading on the graphs or poor lab technique. Trial 4 was dropped from the calculations because it was a duplicate of trail 3 with a typo somewhere in the original data table. The Ka calculated from this lab is 2.48016E-05 and the actual is 1.7 X10^-5. The two Ka’s are closer that the Kb’s but still not very accurate. Due to poor lab technique, this would not be a good idea for determining an unknown acid or base. The probes were jumping a lot with the addition of NaOH and could have been miss read or the charts and graphs would have been interpreted poorly causing everything from then to be altered and Stacey Snyder 4th Hour 3/28/11 miss leading. The lab could have been conducted better there the graphs were enlarged and measured to the nearest thousandth place and if the trial were conducted more precisely with the ½ mL additions. This is kind of similar to making coffee, when to many grounds are added to the filter the coffee turns out strong. Or if not enough grounds are added the coffee is weak. In the case of this lab, the coffee would have been strong for the third titration, weak for the second and a little strong for the first, but the best of the three choices.