   # Determine [OH − ], [H + ], and the pH of each of the following solutions. a. 1.0 M KCl b. 1.0 M KC 2 H 3 O 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 117E
Textbook Problem
111 views

## Determine [OH−], [H+], and the pH of each of the following solutions.a. 1.0 M KClb. 1.0 M KC2H3O2

(a)

Interpretation Introduction

Interpretation: The [OH] , [H+] and the pH value for each of the given solutions to be calculated.

Concept introduction: The pH of a solution is defined as a figure that expresses the acidity of the alkalinity of a given solution.

The pOH of a solution is calculated by the formula, pOH=log[OH]

The sum, pH+pOH=14

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

Ka=ConcentrationofproductsConcentrationofreactants

The value of Kw is calculated by the formula,

Kw=KaKb

To determine: The [OH] , [H+] and the pH value for the given solutions of 1.0M KCl .

### Explanation of Solution

Explanation

The equilibrium constant expression for the given reaction is, Kb=[HCl][OH][Cl]

The dominant equilibrium reaction is,

Cl-(aq)HCl(aq)+OH-(aq)

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=[HCl][OH][Cl] (1)

The Kb value is 7.692×10-9_ .

The value, Kw=KaKb

The value of Ka for HCl is 1.3×106 .

The value of Kb is calculated by the formula,

Kb=KwKa

Substitute the value of Ka in the above expression.

Kb=1.0×10141.3×106=7.692×10-9_

The [OH] is 8.77×10-5M_ .

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

The liquid components do not affect the value of the rate constant.

The ICE table for the stated reaction is,

Cl(aq)HCl(aq)+OH(aq)Inititialconcentration1.000Changex+x+xEquilibriumconcentration1.0xxx

The equilibrium concentration of [Cl] is (1.0x)M .

The equilibrium concentration of [HCl] is xM .

The equilibrium concentration of [OH] is xM .

The calculated value of Kb is 7.692×109 .

Substitute the value of Kb , [Cl] , [HCl] and [OH] in equation (1)

(b)

Interpretation Introduction

Interpretation: The [OH] , [H+] and the pH value for each of the given solutions to be calculated.

Concept introduction: The pH of a solution is defined as a figure that expresses the acidity of the alkalinity of a given solution.

The pOH of a solution is calculated by the formula, pOH=log[OH]

The sum, pH+pOH=14

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

Ka=ConcentrationofproductsConcentrationofreactants

The value of Kw is calculated by the formula,

Kw=KaKb

To determine: The [OH] , [H+] and the pH value for the given solutions of 1.0M KC2H3O2 .

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Find more solutions based on key concepts
Which of the following values is found on food labels? Recommended Dietary Allowances Dietary Reference Intakes...

Nutrition: Concepts and Controversies - Standalone book (MindTap Course List)

What is population genetics?

Human Heredity: Principles and Issues (MindTap Course List)

Two charged particles of equal magnitude are located along the y axis equal distances above and below the x axi...

Physics for Scientists and Engineers, Technology Update (No access codes included)

How are Earths inner layers classified?

Oceanography: An Invitation To Marine Science, Loose-leaf Versin

Human milk contains _______. a. sugars b. lysozyme c. antibodies d. all of the above

Biology: The Unity and Diversity of Life (MindTap Course List) 