The next 11 questions are related to the titration of 40.00 mL of a 0.0900 M acetic acid solution with 0.0700 M KOH. Assume that the temperature is 25 oC. What is the initial pH of the analyte solution?

Respuesta :

Answer:

2.9 is the initial pH of the analyte solution.

Explanation:

The dissociation constant of acetic acid as per theoretical value =  [tex] K_a[/tex]

[tex]K_a=10^{-4.756}=1.8\times 10^{-5}[/tex]

The initial concentration of acetic acid = c = 0.0900 M

[tex]HAc\rightleftharpoons Ac^-+H^+[/tex]

initially

c       0    0

At equilibrium

(c-x)      x  x

The expression of dissociation constant :

[tex]K_a=\frac{[Ac^-][H^+]}{[HAc]}[/tex]

[tex]1.8\times 10^{-5}=\frac{x\times x}{(c-x)}[/tex]

[tex]1.8\times 10^{-5}=\frac{x\times x}{(0.0900-x)}[/tex]

Solving for x:

x = 0.001264 M

[tex][H^+]=0.001264 M[/tex]

The pH of the solution :

[tex]pH=-\log[0.001264]=2.898\approx 2.9[/tex]

2.9 is the initial pH of the analyte solution.