What is the pH of a buffer in which the concentration of benzoic acid, C6H5COOH, is 0.040 M and the concentration of sodium benzoate, NaC6H5COO, is 0.015 M ? Ka of C6H5COOH is 6.30 x 10-5

Respuesta :

Answer:

pH=4.63

Explanation:

The firt step is identify the Acid and the conjugated base:

HA <=> [tex]A^-[/tex] +  [tex]H^+[/tex]

So, for this case we will have:

[tex]C_6H_5COOH[/tex] <=>  [tex]C_6H_5COO^-[/tex] +  [tex]H^+[/tex]

Then:

HA = [tex]C_6H_5COOH[/tex]

[tex]A^-[/tex]=[tex]C_6H_5COO^-[/tex]

With this in mind we can use the henderson-hasselbach equation:

pH = pKa + Log [tex]\frac{A^-}{HA}[/tex]

We can calculate the pKa first

[tex]pKa~=~-~Log~(6.30x10^-^5)~=~4.2[/tex]

Then we can put the values in the equation:

pH = 4.2 + Log([tex]\frac{0.015}{0.04}[/tex])

pH= 4.63

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