   # Calculate the percent dissociation for a 0.22- M solution of chlorous acid (HClO 2 , K a = 1.2 × 10 −2 ). ### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243

#### Solutions

Chapter
Section ### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243
Chapter 13, Problem 66E
Textbook Problem
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## Calculate the percent dissociation for a 0.22-M solution of chlorous acid (HClO2, Ka = 1.2 × 10−2).

Interpretation Introduction

Interpretation: The percent dissociation for a 0.22M solution of chlorous acid (HClO2) is to be calculated.

Concept introduction: At equilibrium, the equilibrium constant expression is expressed by the formula,

Ka=ConcentrationofproductsConcentrationofreactants

The percent dissociation of an acid is calculated by the formula,

Percentdissociation=Equilibriumconcentrationof[H+]Initialconcentrationoftheacid×100

### Explanation of Solution

Explanation

To determine: The percent dissociation for a 0.22M solution of chlorous acid (HClO2) .

The equilibrium constant expression for the given reaction is, Ka=[H+][ClO2][HClO2]

HClO2 is a comparatively stronger acid than H2O .

The dominant equilibrium reaction for the given case is,

HClO2(aq)H+(aq)+ClO2(aq)

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

Ka=ConcentrationofproductsConcentrationofreactants

Where,

• Ka is the acid dissociation constant.

The equilibrium constant expression for the given reaction is,

Ka=[H+][ClO2][HClO2] (1)

The [H+] is 5.1×10-2M_ .

The change in concentration of HClO2 is assumed to be x .

The ICE table for the stated reaction is,

HClO2(aq)H+(aq)+ClO2(aq)Inititialconcentration0.2200Changex+x+xEquilibriumconcentration0.22xxx

The equilibrium concentration of [HClO2] is (0.22x)M .

The equilibrium concentration of [H+] is xM .

The equilibrium concentration of [ClO2] is xM .

The Ka for HClO2 is 1.2×102 .

Substitute the value of Ka , [HClO2] , [H+] and [ClO2] in equation (1)

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