How much of this do you understand and where do you get stumped? I can help you through the rough spots if you identify them but I don't intend to do all of your work for you.
I understand how to get the pH before titration and how to get the volume. From my understanding to get the pH before titration i just multiply the ka and the weak acid concentration then i get the square root. I then get the negative log of the square root and i got 5.8 as the pH. For the volume I multiplied the volume by .105, i got .002 which i divided by .125 to get .016 as the volume. I do not know hoe to do the rest.
The procedure for finding pH at the beginning is correct but you made a math error somewhere. It appears you may have used Kb and not Ka.
1.5 x 10^-5 = (H^+)^2/0.105 and solve for (H^+). The pH is between 2 and 3.
Volume to reach the equivalence point is
mL x M = mL x M for the equivalence point volume of titrant.
pH at the half way point. You can do it the hard way by taking half the volume x M and find moles NaOH, then use up that many moles of butyric acid, subtract from initial butyric acid to find amount remaining, then plug those moles into the Ka expression and solve for H^+ and pH. Or you can do it the easy way and say to yourself--At the half way point, I have exactly half of the acid left and I have formed an equal amount of the salt; therefore,
(H^+)(Bu^-)/(HBu) = Ka and rearrange to solve for (H^+).
(H^+) = Ka x (HBu)/((Bu^-) BUT since (HBu)=(Bu^-), then (H^+) = Ka and pH = pKa.
The pH 5 mL beyond the equivalence point:
M x L = moles NaOH in excess. Then moles/total volume at that point gives molarity OH^-. You get pOH and pH from that.
oh yes i forgot to do the square root i get 2.9.
so for the second one it would be 4.8
and the third one it would be 10.8
thank you so much for explaining it step by step i appreciate the help
what about the pH at equivalence point?
I didn't see that the pH at the equivalence point was in the question. I just looked again and it isn't. But the pH at the equivalence point is determined by the hydrolysis of the salt.
Bu^- + HOH ==> HBu + OH^-
Kb = (Kw/Ka) = (OH^-)(HBu)/(Bu^-)
I think Kb is listed in the problem so it will not be necessary to calculate it with Kw/Ka. So substitute x for OH and x for HBu. For the Bu^-, that is the molality of the sodium butyrate at the equivalence point. You get that by moles HBu at the beginning will form that many moles of NaBu at the equivalence point and then you divide by the total volume (volume HBu initially + volume of NaOH added to get to the equivalence point). All of this gives you the OH from which you get pOH and pH.
okay thank you so much