Chapter 15: Problem 42
Which of the following solutions has the highest pH: (a) 0.40 M HCOOH, (b) \(0.40 M \mathrm{HClO}_{4}\), (c) \(0.40 \mathrm{M} \mathrm{CH}_{3} \mathrm{COOH} ?\)
Short Answer
Expert verified
The \(0.40 M CH_{3}COOH\) solution has the highest pH.
Step by step solution
01
Identify the acids
Given are three solutions: \[0.40 M HCOOH (Formic Acid)\], \[0.40 M HClO_{4} (Perchloric Acid)\] and \[0.40 M CH_{3} COOH (Acetic Acid)\]. Each solution has the same molarity but different acids.
02
Classify the acids
It's vital to understand that HCOOH and CH3COOH are weak acids, which partially ionize in solution, while HClO4 is a strong acid that completely ionizes in solution. Consequently, strong acids provide more hydrogen ions (H+) in the solution, making it more acidic and hence possesses a lower pH.
03
Determine the least acidic solution
Given that weak acids are less acidic, between \(0.40 M HCOOH\) and \(0.40 M CH_{3}COOH\), either of the two will have a higher pH than the strong acid (HClO4). Because both weak acids have the same molarity and are relatively similar in strength, either could potentially give the highest pH. However, formic acid (HCOOH) is slightly more acidic than acetic acid (CH3COOH), therefore, \(0.40 M CH_{3}COOH\) will have the highest pH among the three solutions.
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Weak Acids versus Strong Acids
Understanding the difference between weak acids and strong acids is crucial when examining pH levels in solutions. Weak acids, such as formic acid (HCOOH) and acetic acid (CH3COOH), do not fully dissociate in water. In simple terms, they only release some of their hydrogen ions into the solution, which means their ionization is not complete. Think of it like loosely holding onto a handful of sand—the grains slip away slowly.
On the other hand, strong acids like perchloric acid (HClO4) undergo complete ionization, releasing all of their hydrogen ions into the solution similar to pouring out that same handful of sand all at once. This complete release of hydrogen ions is what makes strong acids much more acidic, and therefore, they have a lower pH compared to weak acids.
On the other hand, strong acids like perchloric acid (HClO4) undergo complete ionization, releasing all of their hydrogen ions into the solution similar to pouring out that same handful of sand all at once. This complete release of hydrogen ions is what makes strong acids much more acidic, and therefore, they have a lower pH compared to weak acids.
- Weak acids: Partial ionization
- Strong acids: Complete ionization
- Result: Strong acids produce a lower pH
pH Determination
The pH of a solution is a measure of its acidity, reflecting the concentration of hydrogen ions present. It is defined on a scale from 0 to 14, with lower values being more acidic and higher values being more basic, or alkaline. To determine the pH of a particular solution, one must consider the concentration of the acid and its capacity to donate hydrogen ions.
pH can often be estimated when armed with the molarity of the solution and knowing whether the acid is weak or strong. For strong acids, the pH can be initially estimated by taking the negative logarithm of the concentration due to the complete ionization. However, for weak acids, this approximation becomes more complex due to partial ionization, and one typically needs to use equilibrium calculations involving the acid dissociation constant (Ka).
pH can often be estimated when armed with the molarity of the solution and knowing whether the acid is weak or strong. For strong acids, the pH can be initially estimated by taking the negative logarithm of the concentration due to the complete ionization. However, for weak acids, this approximation becomes more complex due to partial ionization, and one typically needs to use equilibrium calculations involving the acid dissociation constant (Ka).
- For strong acids: pH ≈ -log[H+ concentration]
- For weak acids: More intricate calculations with Ka are usually needed
Acid Ionization
Acid ionization refers to the process by which an acid molecule releases hydrogen ions (H+) into an aqueous solution. This process is essential for understanding how acids behave in water and ultimately affects the pH of the solution.
The Degree of Ionization
For strong acids, ionization is generally complete, meaning all the acid molecules in the solution release their hydrogen ions. For weak acids, however, ionization is a partial, dynamic process described by an equilibrium where only a fraction of the acid molecules at any one time have released their hydrogen ions into the solution.The Role of Ka
The acid dissociation constant (Ka) is a value that reflects the strength of an acid in terms of its ability to donate hydrogen ions. A larger Ka indicates a stronger acid. For weak acids, Ka values are used along with the initial concentration of the acid to compute the actual concentration of hydrogen ions through the use of equilibrium expressions. This becomes an integral step when determining the pH of a weak acid solution.- Strong acids: Nearly 100% ionization
- Weak acids: Partial ionization characterized by equilibrium
- Ka: A measure of an acid's ionization strength