Respuesta :

Answer:

The pH of solution is 2.88 .

Explanation:

The reaction is :

[tex]CH_3COOH-->CH_3COO^-+H^+[/tex]

We know, [tex]K_a[/tex] for this reaction is = [tex]1.76\times 10^{-5}.[/tex]

Also, since volume of water is 1 L.

Therefore, molarity of solution is equal to number of moles.

Also, [tex]K_a=\dfrac{[CH_3COO^-][H^+]}{[CH_3COOH]}[/tex]

Let, amount of [tex]CH_3COO^- and\ H^+[/tex] produce is x.

So,

[tex]K_a=\dfrac{[x][x]}{[0.1]}\\1.76\times 10^{-5}=\dfrac{[x][x]}{[0.1]}[/tex]

[tex]x=0.0013\ mol.[/tex]

We know, [tex]pH=-log{x}=-log(0.0013)=2.88[/tex]

Therefore, pH of solution is 2.88 .

Hence, this is the required solution.