identifying of unknown monoprotic acid

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    4.0 THEORY

    Our second experiment is identifying an unknown weak acid based on the Ka value obtained

    from titration method and half volume method. We used these two methods in order to

    identify the unknown acid and at the end of the experiment we had determined which method

    is more accurate.

    Theoretically, strength of and acid depends on its ability to lose proton (H +). Weak acids

    usually will partially dissociated and release some of its hydrogen ion in the solution. Hence

    its ability to donate proton is much lower than strong acid as it partially dissociated in water.

    Therefore, these kind of acids have higher pKa than strong acids as strong acids completely

    dissociated in water and release all the hydrogen atoms.

    Ka, acid dissociation constant is defined asthe quantitative measure of the strength of and acid

    in a solution. pKa, is equal to log10 Ka.Ka is the equilibrium constant for a chemical

    reaction known as dissociation in the context of acid-base reactions. Symbolically,

    equilibrium can be written as below :

    HA (aq) + H2O (l) H3O+ (aq) + A- (aq)

    Under such equilibrium conditions, the total concentrations of each species remain constant

    even though the species in solution are constantly dissociating and recombining.

    Monoprotic acid is an acid that donates only one proton or hydrogen atom per molecule to an

    aqueous solution and will only have one equivalence point. As for polyprotic acid, literally it

    corresponds to the transfer of more than one proton.

    The ionization constant of weak monoprotic acid can be calculated as below :

    Ka = [H+] [A-]

    [HA]

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    As we all know that the greater the value of Ka the higher the formation of H +is favoured so

    that the pH of the solution become lower. Theoretically the Ka of weak acid varies between

    1.810-16and 55.5. Acids that are lesser than that value are said to be weaker acids than water

    itself.

    There is one other way that can be used to identify an unknown acid by determining its

    percent of dissociation which is symbolized as (alpha) and which it ranges from 0%

    100%.Percent dissociation can be defined as :

    = [A-]

    [A-] + [HA]

    As is not constant so it does not depends on the value of [HA]. Generally will increase as

    [HA] decreases hence acids become stronger as they are diluted. Each proton will have Ka as

    it said to be polyprotic. In other words percentage of ionization refers to the proportion of

    neutral particles, such as those in a gas or aqueous solution which are later ionized into

    charged particles.

    The acid ionization constant, Ka can be determined from the titration curve. The pH values at

    particular volume of sodium hydroxide being added can be obtained from the titration curve

    so that the pKa values can be obtained from the plotted titration curve. As the data obtained,

    two titration curves of pH versus volume of base added were plotted then the equivalence

    point was obtained.

    The pH values obtained from the titration curve can be used to calculate the acid ionization

    constant hence the average value can be determined. Plus, the volume of base titrated at the at

    the equivalence point is used to calculate the concentration of the unknown monoprotic acid.

    The average is determined as well and the average acid ionization constant later will be used

    to identify the unknown monoprotic acid.

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    Apparatus and Materials

    1. pH meter and electrode

    2. 250 ml beaker

    3.

    40 ml of unknown acid

    4. Distilled water

    5.

    Burette

    6. Retort stand

    7. Magnetic stir plate

    8.

    Magnetic stirrer

    9. Graduated measuring cylinder

    10.

    NaOH solution

    11.Erlenmeyer flask

    Burette

    Beaker

    Unknown

    acid

    Magnetic stirrer

    Magnetic plate

    pH electrode

    Retort stand

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    Half volume method

    1.

    The burette was cleaned, rinsed and filled with NaOH solution.

    2.

    An unknown acid of 40 ml was measured. 100 ml of distilled water measured and

    poured into a 250 ml of Erlenmeyer flask. The unknown acid was dissolved in

    distilled water.

    3. The solution we prepared in step 2 was divided into two parts using graduated

    measuring cylinder.

    4.

    The solution prepared then titrated with NaOH until pH 12 was reached.

    5. The titrated solution then was mixed with the solution which has not been titrated. The

    value of Ka was once again determined from the [H+] value which was linked with the

    pH of the solution.

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    7.0 RESULTS

    7.1 Titration of the unknown monoprotic acid with 0.1 M sodium hydroxide, NaOH.

    Burette Reading Titration 1 Titration 2 Titration 3

    0 3.76 3.66 3.711 3.90 3.81 3.86

    2 4.06 3.96 4.01

    3 4.21 4.08 4.11

    4 4.32 4.19 4.20

    5 4.42 4.29 4.40

    6 4.52 4.40 4.50

    7 4.62 4.49 4.55

    8 4.70 4.56 4.60

    9 4.79 4.65 4.71

    10 4.87 4.72 4.8011 4.96 4.80 4.96

    12 5.05 4.88 5.00

    13 5.13 4.96 5.12

    14 5.25 5.04 5.20

    15 5.37 5.15 5.27

    16 5.52 5.25 5.50

    17 5.70 5.39 5.60

    18 6.01 5.54 5.96

    19 6.83 5.73 6.45

    20 10.23 6.02 7.13

    21 10.88 7.10 10.3622 11.02 10.01 10.80

    23 11.11 10.52 11.10

    24 11.19 10.76 11.19

    25 11.24 10.89 11.23

    26 11.29 11.01 11.25

    27 11.36 11.08 11.32

    28 11.40 11.14 11.41

    29 11.42 11.19 11.45

    30 11.45 11.23 11.47

    31 11.47 11.27 11.4932 11.49 11.30 11.52

    33 11.51 11.33 11.55

    34 11.53 11.35 11.56

    35 11.55 11.38 11.62

    36 11.56 11.43 11.63

    37 11.60 11.55 11.66

    38 11.64 11.61 11.68

    39 11.69 11.65 11.70

    40 11.74 11.72 11.73

    41 11.77 11.78 11.80

    42 11.81 11.83 11.82

    43 11.87 11.90 11.89

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    44 11.92 11.92 11.90

    45 11.96 11.95 11.93

    46 12.01 11.99 12.02

    Table 7.1

    7.2 Half method titration of the unknown monoprotic acid with 0.1 M sodium

    hydroxide, NaOH.

    Burette Reading Titration 1 Titration 2 Titration 3

    0 3.50 3.51 3.51

    1 3.88 3.90 3.89

    2 4.21 4.17 4.20

    3 4.44 4.42 4.41

    4 4.65 4.61 4.63

    5 4.87 4.79 4.85

    6 5.23 4.99 5.35

    7 5.47 5.23 5.39

    8 6.52 5.70 6.11

    9 10.31 7.50 8.91

    10 10.66 10.41 10.56

    11 10.86 10.76 10.81

    12 10.97 10.91 10.94

    13 11.07 11.03 11.05

    14 11.14 11.11 11.12

    15 11.20 11.17 11.1916 11.26 11.23 11.24

    17 11.31 11.28 11.30

    18 11.35 11.32 11.33

    19 11.39 11.36 11.37

    20 11.42 11.39 11.40

    21 11.45 11.43 11.44

    22 11.49 11.46 11.47

    23 11.52 11.51 11.50

    24 11.66 11.63 11.64

    25 11.79 11.75 11.7626 11.87 11.86 11.85

    27 11.93 11.91 11.92

    28 11.96 11.97 11.98

    29 12.00 12.01 12.00

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    7.3 Graph for the titration of the unknown monoprotic acid with 0.1 M sodium

    hydroxide, NaOH.

    7.3.1 Titration 1

    0

    2

    4

    6

    8

    10

    12

    14

    0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46

    pHmonoproticacid

    Volume NaOH, ml

    1) pH monoprotic acid Vs. Volume NaOH, ml

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    7.3.2 Titration 2

    0

    2

    4

    6

    8

    10

    12

    14

    0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46

    pHm

    onoproticacid

    Volume NaOH, ml

    2) pH monoprotic acid Vs. Volume NaOH, ml

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    7.3.3 Titration 3

    0

    2

    4

    6

    8

    10

    12

    14

    0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46

    pHmonoproticacid

    Volume NaOH, ml

    3) pH monoprotic acid Vs. Volume NaOH, ml

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    7.4 Graph for the half method titration of the unknown monoprotic acid with 0.1 M

    sodium hydroxide, NaOH.

    7.4.1 Titration 1

    7.4.2 Titration 2

    7.4.3 Titration 3

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    8.0 CALCULATIONS

    8.1 The titration of the unknown monoprotic acid with 0.1 M sodium hydroxide,

    NaOH

    8.1.1 Titration 1

    By applying Henderson Hesselbalch Equation,

    pKa = -log Ka + log

    , since within the buffer region, the concentration of base reacted

    with the concentration of acid was equal, so, log

    = 0

    Thus,

    pKa = -log Ka

    4.85 = -log Ka

    Ka = -antilog 4.85

    0

    2

    4

    6

    8

    10

    12

    14

    0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46

    pHmonoproticacid

    Volume NaOH, ml

    1) pH monoprotic acid Vs. Volume NaOH, ml

    19.50 ml

    pKa = 4.85

    9.75 ml

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    = 1.41 x 10-5

    8.1.2 Titration 2

    Applying the Henderson Hesselbalch Equation

    pKa = -log Ka

    4.80 = -log Ka

    Ka = -antilog 4.8

    = 1.58 x 10-5

    0

    2

    4

    6

    8

    10

    12

    14

    0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46

    pHmonoproticacid

    Volume NaOH, ml

    2) pH monoprotic acid Vs. Volume NaOH, ml

    21.40 ml

    pKa = 4.80

    10.70 ml

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    8.1.3 Titration 3

    Applying the Henderson Hesselbalch Equation

    pKa = -log Ka

    4.80 = -log Ka

    Ka = -antilog 4.8

    = 1.58 x 10-5

    8.2 The half method titration of the unknown monoprotic acid with 0.1 M sodium

    hydroxide, NaOH

    8.2.1 Titration 1

    Applying the Henderson Hesselbalch Equation

    0

    2

    4

    6

    8

    10

    12

    14

    0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46

    pHmono

    proticacid

    Volume NaOH, ml

    3) pH monoprotic acid Vs. Volume NaOH, ml

    20.50 ml

    10.25 ml

    pKa = 4.80

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    pKa = -log Ka

    4.65 = -log Ka

    Ka = -antilog 4.65

    = 2.24 x 10-5

    8.2.2 Titration 2

    Applying the Henderson Hesselbalch Equation

    pKa = -log Ka

    4.70 = -log Ka

    Ka = -antilog 4.70

    = 2.00 x 10-5

    8.2.3 Titration 3

    Applying the Henderson Hesselbalch Equation

    pKa = -log Ka

    4.70 = -log Ka

    Ka = -antilog 4.70

    = 2.00 x 10-5

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    8.3 Titration table for the titration of the unknown monoprotic acid with 0.1 M

    sodium hydroxide, NaOH

    Titration

    No.

    Volume Of

    NaOH at

    equivalence

    point, ml

    pH at

    equivalence

    point

    Volume of

    NaOH

    halfway to

    equivalence

    point, ml

    pKa value Ka value

    1 19.50 8.40 9.75 4.85 1.41 x 10-5

    2 21.40 8.30 10.70 4.80 1.58 x 10-5

    3 20.50 8.82 10.25 4.80 1.58 x 10-5

    Average Ka 1.52 x 10-5

    8.4 Titration table for half method titration of the unknown monoprotic acid with 0.1

    M sodium hydroxide, NaOH

    Titration

    No.

    Volume Of

    NaOH at

    equivalence

    point, ml

    pH at

    equivalence

    point

    Volume of

    NaOH

    halfway to

    equivalence

    point, ml

    pKa value Ka value

    1 8.25 8.20 4.125 4.65 2.24 x 10-5

    2 9.25 8.20 4.625 4.70 2.00 x 10-5

    3 8.75 8.25 4.375 4.70 2.00 x 10-5

    Average Ka 2.08 x 10-5

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    9.0 Discussion

    In this experiment, we have been assigned to carry out two types of method that focused on

    the identifying of unknown monoprotic acid; titration curve method and half method. In the

    expression, Ka is the acid dissociation constant. Strong acids typically dissociate completely,

    and therefore would have a Ka value of greater than 1. Weak acids have Ka values much

    smaller than 1 (typically less than 10-4).

    For the first method, the titration of as much as 50 ml of NaOH was titrated into 20 ml of

    unknown weak acid had been conducted until up to three titration. All of those titrations were

    left to be until the pH value reached around 12. In the interest of identifying the unknown

    weak acid that we worked on, we need to know the Ka value of the acid from each of the

    three titration curves (D.C. Harris, 2004).

    What we knew about the titration curve was that there was a buffer region that located right

    along the way till to the equivalence point. Buffer region is a region that we added just

    enough bases in the acidic solution that we have some conjugate base in the solution, and we

    also have some acidic solution (D.C. Harris, 2004). The Ka value could be obtained from this

    region.

    In the simplest way, the Ka value from the titration curve can be obtained from the value of

    pKa by applying the Henderson Hesselbalch Equation (A. Marie, 2014). pKa value in each

    titration curve was exactly equal to the pH halfway to the equivalence point.

    The pKa value had noticed to be 4.85, for titration 1, while titration 2, and 3 had recognized

    the same pKa value of 4.80. As it went into the calculations, the Ka value of the acid had

    accordingly became 1.41 x 10-5for titration 1 and the following titrations had seen an equal

    Ka value of 1.58 x 10-5. The total average of these Kas was 1.52 x 10 -5. This value had not

    been exactly equal but quite close to that of propanoic acid, C3H6O2(1.3 x 10-5) (Table of

    Ka, 2010).

    Meanwhile, from the half volume method, the pKa value of 4.65 for the titration 1was 4.65,

    and for both of titration 2 and 3 the value was recorded to be 4.70. After using the Henderson

    Hesselbalch Equation, the Ka value had been showing the corresponding value match the

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    recognizable unknown acid. The Ka for first titration was 2.24 x 10 -5 while the second and the

    third titration had seen an equal Ka value of 2.00 x 10-5. The average Ka for three titrations of

    half volume method, was 2.08 x 10-5. So, from our sources table of Ka, the close value Ka of

    unknown acid from our experiment of half volume method was falling closer toward the Ka

    value of Crotonic acid (HC4H5O2).

    From the both method, we identified the unknown acid that used in this experiment but we

    got different weak acid. For first method the unknown acid identified as propanoic acid while

    for the second method as a crotonic acid. The difference value pKa of first method and

    second method just around 0.14. May errors preparation occur during the experiment caused a

    difference in determining the unknown acid.

    The deviation of the experimentally obtained average Ka value from any other close

    Ka values from the Ka table might due to several errors that had incidentally associated

    during the completion of this experiment. Mainly, it might due to the fact that the parallax

    error had occurred. In a way, the volume on the burette was misread. This can be a parallax

    mistake when the observer looking at the volumes on the incorrect angle. In addition, we did

    not know the exact concentration of the NaOH we used in this experiment, as we had not

    standardized the basic solution in prior to the execution of experiment. So, it could be that

    error might have resulted from the uses of incorrect concentration of NaOH. Besides, it could

    be that during the titration, there was several times where the solution had been transferred in

    excess volumes by incorrectly leveling the scale on the burette.

    10.0 Conclusion

    The titration curves in this experiment have shown a consistent shape pattern for all

    three titration of the both method with each of these curves have recognized slight differencesin pH value in the equivalence point. In the interest of identifying the monoprotic acid, the Ka

    value of the acid was determined from the pHs that correspond to the volume of bases

    halfway to the equivalence point from the titration curves. The pKa value had noticed to be

    4.85, for titration 1, while titration 2, and 3 had recognized the same pKa value of 4.80.

    Meanwhile, the Ka value of the acid had accordingly recognized to be 1.41 x 10 -5for titration

    1 and the following titrations had seen an equal Ka value of 1.58 x 10 -5. The average value of

    Ka was seen to be close to the value of Ka of propanoic acid, which was 1.30 x 10 -5from the

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    theoretical Ka table. While the pKa of half method slightly differ from first method that

    caused difference result in identification of monoprotic weak acid.

    REFERENCES

    A. Marrie. (2014).About.com Chemistry:Henderson Hesselbalch Equation and Example.

    Retreived fromhttp://chemistry.about.com/od/acidsbase1/a/hendersonhasselbalch.htm

    D.C. Harris. (2004).Determination of the Identify of an Unknown Weak Acid [Online PDF

    Handout]. Retreived fromhttp://apbrwww5.apsu.edu/robertsonr/chem1110-

    20/044%20Unknown%20Acid%20Ka%20MM.pdf

    Table of Ka Values for Common Monoprotic Acids. (2015). Retrived from

    http://www.bpc.edu/mathscience/chemistry/table_of_monoprotic_acids.html

    P.Austin.(2012).Determining the Identity of an Unknown Weak Acid . State University

    Department of Chemistry. Retrieved from

    http://www.apsu.edu/sites/apsu.edu/files/chemistry/F12

    Anonymous.Ka of an Unknown Acid. Retrieved April,22 2014 from

    http://www.ccchemistry.us/ch%20111%20experiment%2015.pdf

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    Anonymous.Identification of an Unknown Weak Acid. Retrieved April,22 2014 from

    http://web.utk.edu/~kcook/319S02/exp5m.pdf

    http://web.utk.edu/~kcook/319S02/exp5m.pdfhttp://web.utk.edu/~kcook/319S02/exp5m.pdfhttp://web.utk.edu/~kcook/319S02/exp5m.pdf