Answer: The pH of the buffer is 7.22
Explanation:
To calculate the pH of acidic buffer, we use the equation given by Henderson Hasselbalch:
[tex]pH=pK_a+\log(\frac{[\text{conjugate acid}]}{[\text{weak base}]})[/tex]
We are given:
[tex]pK_a[/tex] = negative logarithm of acid dissociation constant = 7.14
[tex][\text{conjugate acid}]=0.057M[/tex]
[tex][\text{weak base}]=0.047M[/tex]
pH = ?
Putting values in above equation, we get:
[tex]pH=7.14+\log(\frac{0.057}{0.047})\\\\pH=7.22[/tex]
Hence, the pH of the buffer is 7.22