Respuesta :

Answer : The  pH of the solution is, 4.0

Explanation : Given,

Acid dissociation constant for formic acid, [tex]K_a=1.8\times 10^{-4}[/tex]

Concentration of formic acid (acid) = 0.120 M

Concentration of sodium formate (salt) = 0.240 M

First we have to calculate the value of [tex]pK_a[/tex].

The expression used for the calculation of [tex]pK_a[/tex] is,

[tex]pK_a=-\log (K_a)[/tex]

Now put the value of [tex]K_a[/tex] in this expression, we get:

[tex]pK_a=-\log (1.8\times 10^{-4})[/tex]

[tex]pK_a=4-\log (1.8)[/tex]

[tex]pK_a=3.7[/tex]

Now we have to calculate the pH of buffer.

Using Henderson Hesselbach equation :

[tex]pH=pK_a+\log \frac{[Salt]}{[Acid]}[/tex]

Now put all the given values in this expression, we get:

[tex]pH=3.7+\log (\frac{0.240}{0.120})[/tex]

[tex]pH=4.0[/tex]

Thus, the pH of the solution is, 4.0

The pH of the solution is 4.0.

Calculation of the ph of the solution;

Since the acid dissociation constant for formic acid is 1.8*10^-4

Concentration of formic acid (acid) = 0.120 M

And,

Concentration of sodium formate (salt) = 0.240 M

Now first determine the pKa i.e.

= -log(ka)

= -log(1.8*10^*-4)

= 3.7

Now the pH should be

= 3.7 + log(0.240/0.120)

= 4.0

hence,  The pH of the solution is 4.0.

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