Answer:
pH = pKa = 4.75
Explanation:
The pH of a buffer solution is calculated using Henderson Hassalbalch's equation.
The equation is:
[tex]pH=pKa+log\frac{[salt]}{[acid]}[/tex]
Where
pKa = -log (Ka) = 4.75 [for acetic acid]
[salt] = concentration of salt or the conjugate base, in the given example it is sodium acetate
[acid] = concentration of acid , here it is acetic acid
As given that the concentration of both the salt and acid is same it means
[tex]pH = 4.75+log\frac{100}{100}=4.75+log(1)=4.75+0=4.75[/tex]
Thus the pH of solution will be equal to its pKa.