A solution contains 0.45 M hydrofluoric acid (HF; KA = 6.8 X 10−4). Write the dissociation reaction. Determine the degree of ionization and the pH of the solution

Respuesta :

Answer:

Degree of ionization = 0.0377

pH of the solution = 1.769

Explanation:

Initial concentration of HF = 0.45 M

[tex]K_a = 6.8 \times 10^{-4}[/tex]

                     [tex]HF \leftrightharpoons  H^+ + F^-[/tex]

Initial        0.45                             0          0

At equi      0.45 - x                      x           x

Equilibrium constant = [tex]\frac{[H^+][F^-]}{HF}[/tex]

                   [tex]6.8 \times 10^{-4}= \frac{[x][x]}{0.45 - x}[/tex]

           [tex]x^2 + 6.8 \times 10^{-4} x -  6.8 \times 10^{-4} \times 4.5 = 0[/tex]

x = 0.017 M

x = Cα

α = Degree of ionization

C = Concentration

Degree of ionization = [tex]\frac{0.017}{0.45} = 0.0377[/tex]

[tex]pH = -log[H^+][/tex]

[H^+]=0.017 M

[tex]pH = -log[0.017][/tex]

             = 1.769