Step 1:
\The concentration of acetic acid is 0.1 M for 100 mL.
\The concentration of sodium hydroxide is 0.1 M for 50 mL.
\ka for acetic acid is
.
First find the amount of acid left after reaction.
\Number of moles of acetic acid :
.
Number of moles of sodium hydroxide :
.
Number of moles of acid left after reaction :
.
Now total volume :
.
Concentration of Base :
.
Concentration of Acid:
.
Step 2:
\Definition of pH :
\

pH of the solution is 4.4436.
\Solution:
\pH of the solution is 4.4436. \ \