pKa. When constant successive portions of Sodium Hydroxide are added to Acetic Acid; how do the changing amounts of Sodium hydroxide mixed with Acetic Acid in the conical flask affect the pKa of Acetic Acid?

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Research Question:

When constant successive portions of Sodium Hydroxide are added to Acetic Acid; how do the changing amounts of Sodium hydroxide mixed with Acetic Acid in the conical flask affect the pKa of Acetic Acid?

Background Research:

A weak acid is defined as being an acid that does not donate all of its hydrogen ions in a solution (Neuss, 2007) A weak acid represented by HA will always be in equilibrium with its ions in an aqueous solution, for example: HA (aq) ↔ H+(aq) + A-(aq)

The equilibrium constant will thus be given as products over reactants by:

Ka is most commonly known as the ‘acid dissociation constant’. The pKa is just the pH of the Ka i.e. pKa = -logKa and is used as a quantitative measure the strength of a weak acid in solution.  Acetic acid (CH3COOH) is a weak acid and Sodium Hydroxide (NaOH), on the other hand, is a strong base and reacts with Acetic acid (CH3COOH) to produce water (H2O) and a salt (NaCH3OO) as follows:

    CH3COOH + NaOH  H2O + NaCH3OO

A method called a ‘Titration’ provides information about the behavior of acids through the pH scale. In a titration, base is gradually added until the acid reaches an endpoint or equivalence point. When the equivalence point is reached, the pH of the solution will change rapidly, because all the acid has reacted with the added base. A pH meter can be used to determine the pH of the acid throughout the titration, and can be used to determine the equivalence point. When carefully measured volumes of strong base are added to a solution of weak acid and the pH is noted, a graph can be drawn with pH on the y axis and the volume on the x axis. The graph is known as the Titration/pH curve and the theoretical pH curve of the neutralization reaction between Acetic acid and Sodium Hydroxide is provided below:

Figure 1: Theoretical Titration curve of Acetic acid and Sodium Hydroxide.

This picture was obtained through  

The flat portion of the titration curve before the end point (refer to figure 1) is called the buffer region. In this part of the pH scale, that the Acetic acid and Sodium hydroxide are both preset in significant concentrations and the solution resists changes in pH. In the middle of the buffer region lies the half equivalence point. Here the volume of base added is half that required to reach the equivalence point. We can determine the pKa or Ka of an acid by finding the pH when half way to the endpoint of the titration since pKa = -log Ka (refer to figure 1).

A smaller Ka value suggests a larger pKa value. The larger the pKa value the weaker the acid.  Base solution is added until the equivalence point is reached. Thus, to determine the pKa of Acetic acid, the amounts of base mixed with acid will vary, the pH will be measured at regular intervals which will ultimately allow the pKa to be determined.

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Hypothesis:

In this experiment, the amount of Sodium Hydroxide released from the burette will never change. What changes, however, is how much base is in the conical flask. To begin with there will be no base but when 1cm3 of Sodium Hydroxide is added then there is 1mL of Sodium Hydroxide in the conical flask. Then when another 1 cm3 of Sodium Hydroxide is added there will be 2mL of Sodium Hydroxide in the conical flask. So what is changed is the amount of base in the conical flask and it is this amount of base that changes ...

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