J.R. S. answered 04/02/21
Ph.D. University Professor with 10+ years Tutoring Experience
A word to the wise...don't ask such lengthy questions all at once. It is daunting to read such a question and try to answer all parts in one sitting. I'll get you started, and hopefully you can finish. If not, post again with individual parts.
I can't draw a Lewis dot structure on this platform, but butanoic acid is CH3CH2CH2COOH (HC4H7O2) where the -COOH is actually a -C=O with an -OH also attached to this carbon.
Butanoic acid is a monoprotic acid and the proton which is acidic is the one on the COOH.(the bolded one).
(a) HC4H7O2 + LiOH ==> LiC4H7O2 + H2O
Initial moles butanoic acid = 0.15 L x 0.15 mol/L = 0.0225 moles
Volume LiOH needed for neutralization (equivalence): (x L)(0.75 mol/L) = 0.0225 mol and x = 0.03 L = 30 mls
(b) Initial pH of butanoic acid: Ka = [H+][C4H7O2-] / [HC4H7O2]
1.5x10-5 = (x)(x) / 0.15
x = 1.5x10-3 M = [H+]
pH = -log [H+]
pH = 2.82
For the remainder of additions of LiOH, you will form a buffer. So figure out moles butanoic acid remaining, moles of butanoate salt formed and use the Henderson Hasselbalch equation to find the pH.
pH = pKa + log [buntanoate salt]/[butanoic acid]