Solve an equilibrium problem (using an ICE table) to calculate the pH of each solution. c. a mixture that is 0.15 M in HF and 0.15 M in NaF
Ch.18 - Aqueous Ionic Equilibrium

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Capitolo 18, Problema 31
Calculate the percent ionization of a 0.20 M benzoic acid solution in pure water and in a solution containing 0.25 M sodium benzoate. Why does the percent ionization differ significantly in the two solutions?
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insert step 1: Write the chemical equation for the ionization of benzoic acid (C6H5COOH) in water: C6H5COOH (aq) ⇌ C6H5COO⁻ (aq) + H⁺ (aq).
insert step 2: Use the expression for the acid dissociation constant (Ka) for benzoic acid: Ka = [C6H5COO⁻][H⁺] / [C6H5COOH].
insert step 3: For the pure water solution, set up an ICE table (Initial, Change, Equilibrium) to find the equilibrium concentrations of the species involved. Assume initial concentration of benzoic acid is 0.20 M and initial concentrations of C6H5COO⁻ and H⁺ are 0.
insert step 4: For the solution containing sodium benzoate, recognize that sodium benzoate is a salt that provides a common ion (C6H5COO⁻). Use the common ion effect to adjust the ICE table, starting with an initial concentration of 0.25 M for C6H5COO⁻.
insert step 5: Calculate the percent ionization for both scenarios using the formula: Percent Ionization = ([H⁺] / Initial [C6H5COOH]) * 100%. Compare the results to understand the effect of the common ion on ionization.

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Ionization of Weak Acids
Weak acids, like benzoic acid, do not completely dissociate in solution. Instead, they establish an equilibrium between the undissociated acid and its ions. The degree of ionization is influenced by the acid's strength, which is quantified by its acid dissociation constant (Ka). Understanding this equilibrium is crucial for calculating percent ionization.
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Calculating Percent Ionization of Weak Acids
Percent Ionization
Percent ionization is a measure of the extent to which an acid dissociates in solution, expressed as the ratio of the concentration of ionized acid to the initial concentration, multiplied by 100. It provides insight into the strength of the acid in different environments, helping to compare how factors like concentration and the presence of other solutes affect ionization.
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Percent Ionization Example
Common Ion Effect
The common ion effect occurs when a salt containing an ion in common with a weak acid is added to the solution, shifting the equilibrium position according to Le Chatelier's principle. In the case of benzoic acid and sodium benzoate, the presence of benzoate ions from sodium benzoate suppresses the ionization of benzoic acid, leading to a lower percent ionization in the mixed solution compared to pure water.
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Common Ion Effect
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