Ost-lar 1. Write out the balanced equation for the reaction of 1 mole of NaOH with 1 mole of H;PO4: 2. Write out the balanced equation for the reaction of 2 moles of NaOH with 1 mole of H3PO4: 3. Write out the balanced equation for the reaction of 3 moles of NaOH with 1 mole of H3PO4:

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Chapter1: Chemical Foundations
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Post-lab Questions
1. Write out the balanced equation for the reaction of 1 mole of NaOH with 1 mole of H3PO4:
2. Write out the balanced equation for the reaction of 2 moles of NaOH with 1 mole of H3PO4:
3. Write out the balanced equation for the reaction of 3 moles of NaOH with 1 mole of H3PO4:
4. Given similar concentrations, the stronger acid corresponds to the lower pH. Comment on the
relative strengths of the acids H3PO4 and H2PO4. H2PO,²-
Some NOTES: Read very carefully
For a Diprotic and Triprotic Ka’s (& see YOUR class notes & textbook)
In determining the quantity of the acid or the molarity of the acid, we are normally just
interested in the final equivalence point. In a pH titration plot, this is determined by
finding the point of inflection on the final area where we see a significant rise in pH (This
can be approximated by determining the midpoint). For a diprotic acid, the equivalence
point corresponds to the addition of exactly 1/2 the volume of NaOH required to reach
the final equivalence point. At the the 1/2 way point in the 1st titration, the concentration
of H2X(aq) remaining in the solution is equal to 1/2 the initial concentration of H2X. The
concentration of NaHX(aq) produced is also numerically equal to 1/2 the initial
concentration of H2X, such that
H2X(aq) + H2O(1) = HX¯ + H3O*
K, = [H;Oʻ][HX] / [H,X]
using the concentrations that we know for H2X and HX (= NaHX) at the 1/2 way point
we get
[H;O*] = K, {1/2[H2X]initial / [1/2H2X]initial}
[H3O*] = Ka
From a diprotic acid titration graph we can determine the pH at this point since
pH=-log[H3O*], and thus obtain the Ka for this equilibrium. Since this is a polyprotic
acid, this corresponds to Kal. From the pH at the midpoint of the second titration, Ka2
can be determined.
For a triprotic acid, the other two equivalence points should correspond to 1/3 and 2/3
of the volume of the base required to reach the final inflexion and thus one can still
determine the Ka values, even when they are not obvious [or outside the pH instrument
range].
5. Given this information, and using the first equivalence point, calculate the exact molarity of
phosphoric acid.
7
6. Determine the three Ka values for phosphoric acid. How do these numbers compare to the
actual values (theory) given earlier ?
Report [DUE 8pm, 4/12/21]
• Cover page
• Aims/Objectives
• R&D (including 3 graphs and 6 post-lab Q’s)
Transcribed Image Text:Post-lab Questions 1. Write out the balanced equation for the reaction of 1 mole of NaOH with 1 mole of H3PO4: 2. Write out the balanced equation for the reaction of 2 moles of NaOH with 1 mole of H3PO4: 3. Write out the balanced equation for the reaction of 3 moles of NaOH with 1 mole of H3PO4: 4. Given similar concentrations, the stronger acid corresponds to the lower pH. Comment on the relative strengths of the acids H3PO4 and H2PO4. H2PO,²- Some NOTES: Read very carefully For a Diprotic and Triprotic Ka’s (& see YOUR class notes & textbook) In determining the quantity of the acid or the molarity of the acid, we are normally just interested in the final equivalence point. In a pH titration plot, this is determined by finding the point of inflection on the final area where we see a significant rise in pH (This can be approximated by determining the midpoint). For a diprotic acid, the equivalence point corresponds to the addition of exactly 1/2 the volume of NaOH required to reach the final equivalence point. At the the 1/2 way point in the 1st titration, the concentration of H2X(aq) remaining in the solution is equal to 1/2 the initial concentration of H2X. The concentration of NaHX(aq) produced is also numerically equal to 1/2 the initial concentration of H2X, such that H2X(aq) + H2O(1) = HX¯ + H3O* K, = [H;Oʻ][HX] / [H,X] using the concentrations that we know for H2X and HX (= NaHX) at the 1/2 way point we get [H;O*] = K, {1/2[H2X]initial / [1/2H2X]initial} [H3O*] = Ka From a diprotic acid titration graph we can determine the pH at this point since pH=-log[H3O*], and thus obtain the Ka for this equilibrium. Since this is a polyprotic acid, this corresponds to Kal. From the pH at the midpoint of the second titration, Ka2 can be determined. For a triprotic acid, the other two equivalence points should correspond to 1/3 and 2/3 of the volume of the base required to reach the final inflexion and thus one can still determine the Ka values, even when they are not obvious [or outside the pH instrument range]. 5. Given this information, and using the first equivalence point, calculate the exact molarity of phosphoric acid. 7 6. Determine the three Ka values for phosphoric acid. How do these numbers compare to the actual values (theory) given earlier ? Report [DUE 8pm, 4/12/21] • Cover page • Aims/Objectives • R&D (including 3 graphs and 6 post-lab Q’s)
Calculations and Graph [via Excel]:
You need to fully interpret the pH titration curve, making note of the inflections, equivalence
points, buffer regions, where pH = pKa. You will need to make use of “basic calculus' in order to
accurately measure the volumes at the end-points, and thus determine the exact molarity of the
phosphoric acid.
Sample Data [Iprovided below]:
Note - Since the NaOH and the H3PO4 solutions are about the same strength, 0.100 M, the ratio
of the volumes reacted should be the same as the ratio of the moles reacted. (note: 10.00 ml acid
was used). For pH titration - You will graph this data in Excel.
Volume
pH
Volume
pH
NaOH (ml)
NaOH (ml)
2.52
19
7.86
1
2.56
20
8.19
2
2.61
21
8.80
3
2.69
22
10.33
4
2.76
23
10.96
5
2.85
24
11.21
2.95
25
11.42
3.09
26
11.58
8
3.28
27
11.65
9
3.54
28
11.72
10
4.19
29
11.80
11
6.04
30
11.88
12
6.52
31
11.92
13
6.77
32
11.98
14
7.01
33
12.03
15
7.14
34
12.07
16
7.32
35
12.10
17
7.46
36
12.12
18
7.64
Graph: Plot in Excel pH (ordinate, ie, y-axis) vs. volume of NaOH (abscissa, ie., x-axis). Show
the data points, and then overlay the points with a best-fit polynomial line. Indicate on the plots.
a) the buffer region(s),
b) the region(s) where pH = pKa,
c) the end point(s),
d) the region where OH is in excess, and
e) the major species present in solution in each region. (acid, conjugate base, etc)
5
Using Excel, also construct first-derivative & second derivative plots for the
titration. A first-derivative plot is constructed by plotting (pH2 – pH1)/(V2 – V1) vs. volume of
titrant used. V1 and V2 are two successive titration volumes and pH1 and pH2 are the two
corresponding pH values. The second derivative is computed from the first derivative: The
second derivative is then the 'difference of the differences' vs. volume of titrant used. ie. You
need to plot:
(1) pH against volume of the titrant [you've just done this]
(2) ApH / AV against volume of the titrant
(3) A’pH /AV²
against volume of the titrant
The phosphoric acid content can then be identified using the interpolated volume at the
equivalence point of first and second derivative curve. The first derivative plots will have peaks
where the original graphs have inflection points (i.e. the end points of the titrations). This
equivalence point will be the x-intercepts for the second derivative.
DO YOU UNDERSTAND THIS, really really understand
this ??????
Transcribed Image Text:Calculations and Graph [via Excel]: You need to fully interpret the pH titration curve, making note of the inflections, equivalence points, buffer regions, where pH = pKa. You will need to make use of “basic calculus' in order to accurately measure the volumes at the end-points, and thus determine the exact molarity of the phosphoric acid. Sample Data [Iprovided below]: Note - Since the NaOH and the H3PO4 solutions are about the same strength, 0.100 M, the ratio of the volumes reacted should be the same as the ratio of the moles reacted. (note: 10.00 ml acid was used). For pH titration - You will graph this data in Excel. Volume pH Volume pH NaOH (ml) NaOH (ml) 2.52 19 7.86 1 2.56 20 8.19 2 2.61 21 8.80 3 2.69 22 10.33 4 2.76 23 10.96 5 2.85 24 11.21 2.95 25 11.42 3.09 26 11.58 8 3.28 27 11.65 9 3.54 28 11.72 10 4.19 29 11.80 11 6.04 30 11.88 12 6.52 31 11.92 13 6.77 32 11.98 14 7.01 33 12.03 15 7.14 34 12.07 16 7.32 35 12.10 17 7.46 36 12.12 18 7.64 Graph: Plot in Excel pH (ordinate, ie, y-axis) vs. volume of NaOH (abscissa, ie., x-axis). Show the data points, and then overlay the points with a best-fit polynomial line. Indicate on the plots. a) the buffer region(s), b) the region(s) where pH = pKa, c) the end point(s), d) the region where OH is in excess, and e) the major species present in solution in each region. (acid, conjugate base, etc) 5 Using Excel, also construct first-derivative & second derivative plots for the titration. A first-derivative plot is constructed by plotting (pH2 – pH1)/(V2 – V1) vs. volume of titrant used. V1 and V2 are two successive titration volumes and pH1 and pH2 are the two corresponding pH values. The second derivative is computed from the first derivative: The second derivative is then the 'difference of the differences' vs. volume of titrant used. ie. You need to plot: (1) pH against volume of the titrant [you've just done this] (2) ApH / AV against volume of the titrant (3) A’pH /AV² against volume of the titrant The phosphoric acid content can then be identified using the interpolated volume at the equivalence point of first and second derivative curve. The first derivative plots will have peaks where the original graphs have inflection points (i.e. the end points of the titrations). This equivalence point will be the x-intercepts for the second derivative. DO YOU UNDERSTAND THIS, really really understand this ??????
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