   Chapter 15, Problem 43E

Chapter
Section
Textbook Problem

# Consider a solution that contains both C5H5N and C5H5NHNO3. Calculate the ratio [C5H5N]/[C5H5NH+] if the solution has the following pH values:a. pH = 4.50b. pH = 5.00c. pH = 5.23d. pH = 5.50

(a)

Interpretation Introduction

Interpretation:

Different pH values of solution of C5H5N and C5H5NH+ is given. The ratio of [C5H5N]/[C5H5NH+] is to be calculated.

Concept introduction:

The pOH value is the measure of OH ions. The relation between pOH and pKb is given by Henderson-Hassel Bach equation. According to this equation,

pOH=pKb+log[Conjugateacid][Weakbase]

Explanation

Explanation

To determine pOH

The pOH value of a solution of C5H5N and C5H5NH+ is 9.5_ .

The pH value of solution is 4.50 .

The relation between pH and pOH is,

pH+pOH=14

Where,

• pH is a measure of concentration of H+ .
• pOH is a measure of concentration of OH .

Substitute the value of pOH in above equation.

pH+pOH=144.50+pOH=14pOH=9.5_

To determine the ratio of [C5H5NH+]/[C5H5N]

The value of Kb for C5H5N is 1.7×109 .

The pOH value of solution is 9.5 .

The pOH is calculated using the Henderson-Hassel Bach equation,

pOH=pKb+log[Conjugateacid][Weakbase]

Where,

• pOH is the measure of OH ions.
• pKb is the measure of basic strength.

The formula of pKb is,

pKb=logKb

Where,

• Kb is base equilibrium constant.

Substitute the value of pKb in the above equation.

pOH=logKb+log[Conjugateacid][Weakbase]

Substitute all the given values in the above equation.

pOH=logKb+log[Conjugateacid][Weakbase]9

(b)

Interpretation Introduction

Interpretation:

Different pH values of solution of C5H5N and C5H5NH+ is given. The ratio of [C5H5N]/[C5H5NH+] is to be calculated.

Concept introduction:

The pOH value is the measure of OH ions. The relation between pOH and pKb is given by Henderson-Hassel Bach equation. According to this equation,

pOH=pKb+log[Conjugateacid][Weakbase]

(c)

Interpretation Introduction

Interpretation:

Different pH values of solution of C5H5N and C5H5NH+ is given. The ratio of [C5H5N]/[C5H5NH+] is to be calculated.

Concept introduction:

The pOH value is the measure of OH ions. The relation between pOH and pKb is given by Henderson-Hassel Bach equation. According to this equation,

pOH=pKb+log[Conjugateacid][Weakbase]

(d)

Interpretation Introduction

Interpretation:

Different pH values of solution of C5H5N and C5H5NH+ is given. The ratio of [C5H5N]/[C5H5NH+] is to be calculated.

Concept introduction:

The pOH value is the measure of OH ions. The relation between pOH and pKb is given by Henderson-Hassel Bach equation. According to this equation,

pOH=pKb+log[Conjugateacid][Weakbase]

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