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 20.80P
Interpretation Introduction

Interpretation:

The pH value of vitamin C 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
Check Mark

Answer to Problem 20.80P

The pH value of solution is 3.3.

Explanation of Solution

Given: 0.20 M in Fe(NO3)3(aq).

First moles of vitamin C present in 500.0 mg is calculated.

    Moles of vitamin C = vitamin C massvitamin C molar mass= 500.0×103 g176.12 g/mol= 2.84×10-3 moles

Now, molarity of the solution is determined as shown below,

    Molairty = Vitamin C molesVolume of solution in L= 2.84×103 moles1L= 2.84×103M

The given acid is diprotic acid therefore, the concentration of H+ present in the solution is determined as follows,

For first dissociation the concentration of hydronium ion is shown as below,

               Ascorbic acid +H2O[Ascorbic acid] + H3O+Initial 2.84×103                              0                       0Change     -x                                      +x                    +xEquilibrium 2.84×103 -x                           x                      xKa = [Ascorbic acid][H3O+][Ascorbic acid]

    Ka = [Ascorbic acid][H3O+][Ascorbic acid]9.12×105= x22.84×103xx= 5.09×104= [Ascorbic acid] = [H3O+]

For second dissociation the concentration of hydronium ion is shown as below,

             [Ascorbic acid] + H2O [Ascorbic acid]2 + H3O+Initial 5.09×104                              0                       0Change     -x                                      +x                    +xEquilibrium 5.09×104 -x                           x                      xKa = [Ascorbic acid2][H3O+][Ascorbic acid]

    Ka = [Ascorbic acid2][H3O+][Ascorbic acid]1.99×1012= x25.09×104xx= 3.18×108= [H3O+]

Therefore, the total concentration of hydronium ions present in solution is 5.09×104 + 3.18×108 = 5.09×104 M.

The pH value of vitamin C solution is as follows,

    pH = -log[H3O+]= -log[5.09×104]= 3.3

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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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