Answer : The pH of the solution is, 5.01
Explanation :
For acetic acid : [tex]pK_a=4.75[/tex]
First we have to calculate the concentration of acetic acid and sodium acetate.
Concentration of acetic acid (Acid) = [tex]\frac{Moles}{Volume}=\frac{0.12mol}{1.00L}=0.12M[/tex]
Concentration of sodium acetate (salt) = [tex]\frac{Moles}{Volume}=\frac{0.22mol}{1.00L}=0.22M[/tex]
Now we have to calculate the pH of the solution.
Using Henderson Hesselbach equation :
[tex]pH=pK_a+\log \frac{[Salt]}{[Acid]}[/tex]
Now put all the given values in this expression, we get:
[tex]pH=4.75+\log (\frac{0.22}{0.12})[/tex]
[tex]pH=5.01[/tex]
Therefore, the pH of the solution is, 5.01