   # Consider the following mathematical expressions. a. [H + ] = [HA] 0 b. [H + ] = ( K a × [HA] 0 ) 1/2 c. [OH − ] = 2[B] 0 d. [OH − ] = ( K b × [B] 0 ) 1/2 For each expression, give three solutions where the mathematical expression would give a good approximation for the [H + ] or [OH − ]. [HA] 0 and [B] 0 represent initial concentrations of an acid or a base. ### 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 31Q
Textbook Problem
5 views

## Consider the following mathematical expressions.a. [H+] = [HA]0b. [H+] = (Ka × [HA]0)1/2c. [OH−] = 2[B]0d. [OH−] = (Kb × [B]0)1/2For each expression, give three solutions where the mathematical expression would give a good approximation for the [H+] or [OH−]. [HA]0 and [B]0 represent initial concentrations of an acid or a base.

(a)

Interpretation Introduction

Interpretation: Three solutions for each of the given mathematical expression that would give a good approximation for the [H+] or [OH] are to be stated.

Concept introduction: The state when the reactants involved in a chemical reaction and the products formed in the reaction exist in concentrations having no further tendency to change is known as an equilibrium state of the reaction.

The equilibrium constant for the dissociation reaction of a given acid is known as the acid dissociation constant and is denoted by the symbol, Ka .

The equilibrium constant for the dissociation reaction of a given base is known as the base dissociation constant and is denoted by the symbol, Kb .

### Explanation of Solution

To determine: Three solutions for the given mathematical expression, [H+]=[HA]0

For the given case, the strong acid solutions such as 0.1M HNO3 , 1.0×1010M HCl and 0.02M HClO4 would give a good approximation for the [H+]

(b)

Interpretation Introduction

Interpretation: Three solutions for each of the given mathematical expression that would give a good approximation for the [H+] or [OH] are to be stated.

Concept introduction: The state when the reactants involved in a chemical reaction and the products formed in the reaction exist in concentrations having no further tendency to change is known as an equilibrium state of the reaction.

The equilibrium constant for the dissociation reaction of a given acid is known as the acid dissociation constant and is denoted by the symbol, Ka .

The equilibrium constant for the dissociation reaction of a given base is known as the base dissociation constant and is denoted by the symbol, Kb .

(c)

Interpretation Introduction

Interpretation: Three solutions for each of the given mathematical expression that would give a good approximation for the [H+] or [OH] are to be stated.

Concept introduction: The state when the reactants involved in a chemical reaction and the products formed in the reaction exist in concentrations having no further tendency to change is known as an equilibrium state of the reaction.

The equilibrium constant for the dissociation reaction of a given acid is known as the acid dissociation constant and is denoted by the symbol, Ka .

The equilibrium constant for the dissociation reaction of a given base is known as the base dissociation constant and is denoted by the symbol, Kb .

(d)

Interpretation Introduction

Interpretation: Three solutions for each of the given mathematical expression that would give a good approximation for the [H+] or [OH] are to be stated.

Concept introduction: The state when the reactants involved in a chemical reaction and the products formed in the reaction exist in concentrations having no further tendency to change is known as an equilibrium state of the reaction.

The equilibrium constant for the dissociation reaction of a given acid is known as the acid dissociation constant and is denoted by the symbol, Ka .

The equilibrium constant for the dissociation reaction of a given base is known as the base dissociation constant and is denoted by the symbol, Kb .

### 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
A vegetarian diet planner should be sure to include sources of a. a carbohydrate. b. vitamin C. c. vitamin B12....

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

What are the features of a healthy high-fat diet?

Understanding Nutrition (MindTap Course List)

24-14 What is the role of calmodulin in signaling by Ca2+ ions?

Introduction to General, Organic and Biochemistry

A proton beam in an accelerator carries a current of 125 A. If the beam is incident on a target, how many pinio...

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