Problem 104

Given information

The Henderson-Hasselbalch equation must be used to derive the equation.

Step-by-step explanation

A buffer with a base  and its conjugate acid is assumed.

The ionization reaction is given by,

The equilibrium constant is given by the formula,

Where,

  is the equilibrium constant for the above reaction.

  is the concentration of base in the reaction

  is the concentration of hydroxide ion.

  is the concentration of conjugate acid.

Take log on both the sides of the above expression.

Take,