General Chemistry
General Chemistry
4th Edition
ISBN: 9781891389603
Author: Donald A. McQuarrie, Peter A. Rock, Ethan B. Gallogly
Publisher: University Science Books
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Chapter 20, Problem 20.91P
Interpretation Introduction

Interpretation:

The value of pH for 0.010 M sulfurous acid has to be calculated.

Concept Introduction:

The pH value of a solution is the negative of the base -10 logarithm of the hydronium ion or hydrogen ion concentration.

  pH=-log[H+]

Expert Solution & Answer
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Answer to Problem 20.91P

The value of pH is 4.7.

Explanation of Solution

Given: 0.010 M sulfurous acid.

The sulfurous acid is a diprotic acid. Its first dissociation is as follows,

    H2SO3(aq) + H2O(l)HSO3-(aq)+H3O+(aq)

The concentration of hydronium ions present is calculated by using ICE table as follows,

                         H2SO3(aq) + H2O(l)HSO3-(aq)+H3O+(aq)Initial              0.010                                  0                  0Change              -x                                     +x               +xEquilibrium     0.010-x                            +x               +xKa = [HSO3-][H3O+][H2SO3]

        Ka = [HSO3-][H3O+][H2SO3]1.4×102 M= x20.010x=0.0067M

    [H3O+] =[HSO3-]0.0067 M[H2SO3]= 0.010x= 0.0100.0067= 3.3×10-3M

The second dissociation of HSO3-(aq) is as follows,

    HSO3-(aq) + H2O(l)SO32-(aq)+H3O+(aq)

The hydronium ions present after second dissociation is calculated as shown below,

                         HSO3-(aq) + H2O(l)SO32-(aq)+H3O+(aq)Initial              0.0067                             0                  0Change              -x                                  +x               +xEquilibrium     0.0067-x                      +x               +xKa = [SO32-][H3O+][HSO3-]

    Ka = [SO32-][H3O+][HSO3-]6.31×10-8 = x20.0067-xx = [H3O+]=2.056×10-5

Now, the pH value is calculated as follows,

    pH = -log[H3O+]= -log[2.056×10-5]= 4.7

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Chapter 20 Solutions

General Chemistry

Ch. 20 - Prob. 20.11PCh. 20 - Prob. 20.12PCh. 20 - Prob. 20.13PCh. 20 - Prob. 20.14PCh. 20 - Prob. 20.15PCh. 20 - Prob. 20.16PCh. 20 - Prob. 20.17PCh. 20 - Prob. 20.18PCh. 20 - Prob. 20.19PCh. 20 - Prob. 20.20PCh. 20 - Prob. 20.21PCh. 20 - Prob. 20.22PCh. 20 - Prob. 20.23PCh. 20 - Prob. 20.24PCh. 20 - Prob. 20.25PCh. 20 - Prob. 20.26PCh. 20 - Prob. 20.27PCh. 20 - Prob. 20.28PCh. 20 - Prob. 20.29PCh. 20 - Prob. 20.30PCh. 20 - Prob. 20.31PCh. 20 - Prob. 20.32PCh. 20 - Prob. 20.33PCh. 20 - Prob. 20.34PCh. 20 - Prob. 20.35PCh. 20 - Prob. 20.36PCh. 20 - Prob. 20.37PCh. 20 - Prob. 20.38PCh. 20 - Prob. 20.39PCh. 20 - Prob. 20.40PCh. 20 - Prob. 20.41PCh. 20 - Prob. 20.42PCh. 20 - Prob. 20.43PCh. 20 - Prob. 20.44PCh. 20 - Prob. 20.45PCh. 20 - Prob. 20.46PCh. 20 - Prob. 20.47PCh. 20 - Prob. 20.48PCh. 20 - Prob. 20.49PCh. 20 - Prob. 20.50PCh. 20 - Prob. 20.51PCh. 20 - Prob. 20.52PCh. 20 - Prob. 20.53PCh. 20 - Prob. 20.54PCh. 20 - Prob. 20.55PCh. 20 - Prob. 20.56PCh. 20 - Prob. 20.57PCh. 20 - Prob. 20.59PCh. 20 - Prob. 20.60PCh. 20 - Prob. 20.61PCh. 20 - Prob. 20.62PCh. 20 - Prob. 20.63PCh. 20 - Prob. 20.64PCh. 20 - Prob. 20.65PCh. 20 - Prob. 20.66PCh. 20 - Prob. 20.67PCh. 20 - Prob. 20.68PCh. 20 - Prob. 20.69PCh. 20 - Prob. 20.70PCh. 20 - Prob. 20.71PCh. 20 - Prob. 20.72PCh. 20 - Prob. 20.73PCh. 20 - Prob. 20.74PCh. 20 - Prob. 20.75PCh. 20 - Prob. 20.76PCh. 20 - Prob. 20.77PCh. 20 - Prob. 20.78PCh. 20 - Prob. 20.79PCh. 20 - Prob. 20.80PCh. 20 - Prob. 20.81PCh. 20 - Prob. 20.82PCh. 20 - Prob. 20.83PCh. 20 - Prob. 20.84PCh. 20 - Prob. 20.85PCh. 20 - Prob. 20.86PCh. 20 - Prob. 20.87PCh. 20 - Prob. 20.88PCh. 20 - Prob. 20.89PCh. 20 - Prob. 20.90PCh. 20 - Prob. 20.91PCh. 20 - Prob. 20.92PCh. 20 - Prob. 20.94P
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