Question
1.How does adding NaOH to deionized water affect the pH differently than adding it to a buffer?
2. how would you find the Ka of solution 4, after it is diluted from solution 3? the measured pH was 4.98 which gave a [H+] concentration of 1.05x10^-5.

Part A - Determining the Acid Ionization Constant for Acetic Acid Solution 1 6. Take a 30.0 mL sample of 10 M HOAc and place
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Answer #1

1.

Adding NaOH to deionised water means that NaOH, being a strong base, will dissociate completely into Na+ and OH- ions. The OH- ions thus formed will raise the pH according to the equations:

pOH = - log10[OH-] and pH = 14 – pOH.

When added to a buffer:

For eg, consider the buffer to be NaOAc/HOAc

HOAc is a weak acid and wont completely dissociate. So, the buffer solution has molecules of HOAc which will react with NaOH :

NaOH + HOAc = NaOAc + H2O

Thus, as NaOH is added to buffer, it gets neutralised, and no OH- is produced. So, the pH of buffer solution doesn’t change.

2.

To find Ka of a buffer solution, from the pH and concentration of salt and weak acid, use the Henderson equation :

[Salt] pH = pka + lograridi

Ka is acid dissociation constant.

Here, Ka corresponds to the acid dissociation of : HOAc → OAc- + H+

Here, salt = OAc- (NaOAc)

and acid = HOAc

[…] denotes concentration in molarity.

To find the concentrations :

First, the concentration from solution 3:

24.0 mL of 1M NaOAc is mixed with 10.0mL of 1 M HOAc.

So, the total final volume of the beaker =24.0 + 10.0 = 34.0 mL

The formula which is needed to calculate concentration after mixing/dilution:

V1S1 = V2S2

Where, V = Volume, S = Strength, and 1 and 2 denote initial and final solutions respectively.

(While using this formula, the units of Volume and Strength on both sides of the equation must be same.)

· For HOAc: the final solution has volume of 34.0 mL. So,

V2 = 34.0 mL, S2 = need to find.

The initial solution taken has a strength (S1) of 1M.

Volume of initial solution (V1) = 10.0 mL

Applying the formula :

10.0mL x 1M = 34.0 mL x S2

Solving, we get:

S2 = 0.294 M

· For NaOAc :the final solution has volume of 34.0 mL. So,

V2 = 34.0 mL, S2 = need to find.

The initial solution taken has a strength (S1) of 1M.

Volume of initial solution (V1) = 24.0 mL

Applying the formula :

24.0mL x 1M = 34.0 mL x S2

Solving, we get:

S2 = 0.706 M

These concentrations are further diluted in solution 4 by adding 40.0mL of deionised water to 10.0 mL of solution 3. So, calculating the final concentration using the same formula as above:

· For HOAc: the final solution has volume of 50.0 mL. So,

V2 = 50.0 mL, S2 = need to find.

The initial solution taken has a strength (S1) of 0.294M.

Volume of initial solution (V1) = 10.0 mL

Applying the formula :

10.0mL x 0.294M = 50.0 mL x S2

Solving, we get:

S2 = 0.0588 M

· For NaOAc :the final solution has volume of 50.0 mL. So,

V2 = 50.0 mL, S2 = need to find.

The initial solution taken has a strength (S1) of 0.706M.

Volume of initial solution (V1) = 10.0 mL

Applying the formula :

10.0mL x 0.706M = 50.0 mL x S2

Solving, we get:

S2 = 0.1412 M

Thus, finally, in solution 4, [NaOAc] = 0.1412 M and [HOAc] = 0.0588 M

And, pH of solution 4 = 4.98

Putting the values in Henderson equation:

[NaoAc] 4.98 = pKa + log [HOÀc]

0.1412 4.98 = pKa + logg

Solving, we get pKa = 4.6

Now, pKa = -log10(Ka)

So, 4.6 = -log10(Ka)

Or, 10-4.6 = Ka

Or, Ka = 2 x 10-5

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