J.R. S. answered 03/23/18
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When you say you had a sodium acetate BUFFER, that implies the solution contained sodium acetate AND acetic acid. That is was it takes to make a buffer (a weak acid + the salt of that acid).
Question 1: When HCl is added to this buffer, a change is pH is resisted because the added H+ reacts with the sodium acetate to form the WEAK acid, acetic acid. Since this is a weak acid, it does not dissociate to any appreciable extent, and so it "essentially" removes the added H+ from solution, and the pH doesn't change appreciably.
Question 2: Distilled water cannot resist the change in pH because any added H+ simply combines with H2O to make H3O+ and the more H3O+ you have, the lower the pH.
Question 3: Sodium acetate = CH3COONa = CH3COO- + Na+ and Na+ is a spectator
Acetic acid = CH3COOH
Buffer = CH3COOH + CH3COO- mixture
When HCl is added, it will react with the CH3COO- as follows:
CH3COO- + H+ ==> CH3COOH and Cl- is a spectator along with Na+
Question 4: When you write the reaction, you can easily see that the added acid reacts with the acetate anion (conjugate base of acetic acid) forming the WEAK acid, acetic acid.