1. pKa of the weak acid is equal to pH at half equivalence point. From the graph and table, the equivalence point is 25 mL. So, the half equivalence point is 25/2=12.5 mL. Now, we have to check the pH at this point which is 4.24.
Hence, pKa = 4.24
2. As the pH at equivalence point (25 mL) is equal to 8.46 i.e. pH = 8.46
pH = -log[H+]
[H+] = 10-pH = 10-8.46 = 3.47x10-9 M
Hence, at equivalence point, [H+] = 3.47x10-9 M
3. As we know that
[H+][OH-] = Kw
So, at eqivalence point
![[OH^-] = \frac{K_w}{[H^+]}](http://img.homeworklib.com/questions/4d4d9d20-df6c-11ea-8748-0f58083b4521.png?x-oss-process=image/resize,w_560)
![[OH^-] = \frac{1.0\times 10^{-14}}{3.47\times 10^{-9}} = 2.88\times 10^{-6} M](http://img.homeworklib.com/questions/4d99c760-df6c-11ea-9e5b-07929aa55416.png?x-oss-process=image/resize,w_560)
Hence, at equivalence point, [OH-] = 2.88x10-6 M
4. At equivalence point, hydrolysis of conjugate base of weak acid (A-) takes place by the below reaction,
A-(aq) + H2O(l)
HA(aq) + OH-(aq)
So, the concentration of HA is equal to concentration of [OH-] at equivalence point.
[HA] = [OH-] = 2.88x10-6 M
Hence, at equivalence point, [HA] = 2.88x10-6 M
5. As the pH at half equivalence point is 4.24. So,
pH = -log[H+]
[H+] = 10-pH = 10-4.24 = 5.75x10-5 M
Hence, at half equivalence point, [H+] = 5.75x10-5 M
Let me know if you have any queries regarding this.
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