   Chapter 15, Problem 81AE

Chapter
Section
Textbook Problem

# Derive an equation analogous to the Henderson—Hasselbalch equation but relating pOH and pKb of a buffered solution composed of a weak base and its conjugate acid, such as NH3 and NH4+.

Interpretation Introduction

Interpretation:

An equation analogous to the Henderson-Hasselbalch equation that relates pOH and pKb of a buffered solution, composed of a weak base and its conjugate acid like NH3 and NH4+ , is to be determined.

Concept introduction:

At equilibrium, the equilibrium constant expression is expressed by the formula,

Kb=ConcentrationofproductsConcentrationofreactants

To determine: An equation analogous to the Henderson-Hasselbalch equation that relates pOH and pKb of a buffered solution, composed of a weak base and its conjugate acid like NH3 and NH4+ .

Explanation

Explanation

The given weak base is ammonia (NH3) .

The ionization reaction of ammonia is,

NH3+H2ONH4++OH

At equilibrium, the equilibrium constant expression is expressed by the formula,

Kb=ConcentrationofproductsConcentrationofreactants

Where,

• Kb is the base ionization constant.

The equilibrium constant expression for the given reaction is,

Kb=[NH4+][OH][NH3]

Rearrange the above expression

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