EBK INTRODUCTION TO CHEMISTRY
EBK INTRODUCTION TO CHEMISTRY
5th Edition
ISBN: 9781260162165
Author: BAUER
Publisher: MCGRAW HILL BOOK COMPANY
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Chapter 13, Problem 135QP
Interpretation Introduction

Interpretation:

All the given solutions are to be arranged in accordance with increasing hydroxide concentration present in the solutions.

Concept Introduction

The pH for the given solution of hydrochloride is calculated in equation (1) where, H+ is the concentration of hydrogen ion in the given solution.

pH=logH+ ……(1)

The relation between hydroxyl concentration, OH , and pOH of the given solution.

pOH=logOH ……(2)

The relation between the ionic product of water, Kw , at 298.15K , H+ , and OH . The ionic product of water at 298.15K is 1014 .

Kw=H+OH1014=H+OH ……(3)

Expert Solution & Answer
Check Mark

Answer to Problem 135QP

Solution:

0.5MHCl<0.1M HNO3<HNO3pH=4.0<water<BufferpOH=11.0

Explanation of Solution

Given Information: The given concentrations of the solutions are 0.1MHNO3 , 0.5 M HCl , a solution of HNO2 having pH value 4.0 , a buffer solution having pOH value 11.0 , and water.

HNO3 acid is a strong electrolyte. Thus, the hydrogen ion concentration in 0.1MHNO3 is 0.1M . This value for hydrogen ion concentration is substituted in equation (3) to calculate the hydroxyl ion concentration.

1014=0.1OHOH=1013M

HCl acid is a strong electrolyte. Thus, the hydrogen ion concentration in 0.1MHCl is 0.5M . This value for hydrogen ion concentration is substituted in equation (3) to calculate the hydroxyl ion concentration.

1014=0.5OHOH=10140.5=2×1014M

In equation (1), 4 is substituted for pH of a solution of HNO2 to calculate the hydrogen ion concentration.

4=logH+H+=104M

In equation (3), 104M is substituted for H+ of a solution of HNO2 to calculate the hydroxyl ion concentration.

1014=104OHOH=1014104M=1010M

The hydroxyl ion concentration in the given buffer solution is calculated by the substitution of pOH in equation (2).

11=logOHOH=1011M

The hydroxyl ion concentration of pure water at 298.15K is equal to 107M .

Conclusion

Therefore, the order of increasing hydroxyl ion concentration is given as follows, 0.5MHCl<0.1M HNO3<HNO3pH=4.0<water<BufferpOH=11.0 .

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Chapter 13 Solutions

EBK INTRODUCTION TO CHEMISTRY

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