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