Answer:
The correct answer is option C.
Explanation:
The pH of the solution with weak acid and its conjugate base is given by the Henderson-Hasselbalch equation:
[tex]pH=pK_a+\log[\frac{[A^-]}{[HA]}][/tex]
Where:
[tex]pK_a[/tex]= The negative logarithm of the dissociation constant of a weak acid
[tex][A^-][/tex]= Concentration of conjugate base of a weak acid
[tex][HA][/tex]= Concentration of weak acid
We are given a solution with acetic acid and acetate ion.
[tex]HAc(aq)\rightleftharpoons H^+(aq)+Ac^-(aq)[/tex]
The concentration of acetic acid in a solution= [tex][HAc]=0.2M[/tex]
The concentration of acetate ion in a solution = [tex][Ac^-]=0.35M[/tex]
The pK_A of the acetic acid = [tex]pK_a=4.8[/tex]
The pH of the solution:
[tex]pH=4.8+\log[\frac{0.35 M}{0.2M}]=5.04[/tex]
5.04 the pH of a solution of 0.2M acetic acid and 0.35M acetate ion.
Hence, the correct answer is option C.