In the laboratory a student measures the percent ionization of a 0.529 M solution of phenol (a weak acid) , C6H5OH, to be 1.33×10-3 %. Calculate value of Ka from this experimental data.

Respuesta :

Answer:

The value of dissociation constant from this experimental data fro phenol is [tex]9.3576\times 10^{-11}[/tex].

Explanation:

        [tex]C_6H_5OH\rightleftharpoons C_6H_5O^-+H^+[/tex]

Initially   c                  0          0

At eq'm  [tex](c-c\alpha )[/tex]   [tex]c\alpha [/tex]       [tex]c\alpha [/tex]

Concentration of phenol , initially = c = 0.529 M

Degree of dissociation = [tex]\alpha =1.33\times 10^{-3} \%=1.33\times 10^{-5}[/tex]

An expression for dissociation constant is given as:

[tex]K_a=\frac{[C_6H_5O^-][H^+]}{[C_6H_5OH]}[/tex]

[tex]K_a=\frac{c\alpha \times c \alpha }{(c-c\alpha )}=\frac{c(\alpha )^2}{(1-\alpha )}[/tex]

[tex]K_a=\frac{0.529 M\times (1.33\times 10^{-5})^2}{(1-1.33\times 10^{-5})}[/tex]

[tex]K_a=9.3576\times 10^{-11}[/tex]

The value of dissociation constant from this experimental data fro phenol is [tex]9.3576\times 10^{-11}[/tex].