Chapter 16: Problem 2
Explain why \(\mathrm{Cl}^{-}\) does not affect the \(\mathrm{pH}\) of an aqueous solution.
Short Answer
Expert verified
In summary, Cl鈦 ions do not affect the pH of an aqueous solution because they are incapable of changing the concentration of H鈦 or OH鈦 ions in the solution. Due to their weak basic nature as the conjugate base of the strong acid HCl, they do not significantly react with water molecules to either donate or accept H鈦 ions, and therefore have no impact on the pH of the solution.
Step by step solution
01
Understand the concept of pH and relate it to the concentration of H鈦 and OH鈦 ions
The pH of an aqueous solution is a measure of its acidity or alkalinity, expressed on a scale from 0 to 14. The pH is defined as the negative logarithm of the hydrogen ion (H鈦) concentration: \[pH = -\log_{10}[H鈦篯\]
A solution with a pH of less than 7 is considered acidic, while a pH of greater than 7 is considered basic or alkaline. The pH of 7 is considered neutral and represents the pH of pure water at 25掳C. The concentrations of H鈦 and hydroxide ions (OH鈦) determine the pH of a solution. In pure water, the concentrations of H鈦 and OH鈦 ions are equal: \[[H鈦篯 = [OH鈦籡 = 1.0 \times 10^{-7} M\]
Water has an autoprotolysis or self-ionization reaction as follows: \[2H_2O \rightleftharpoons H_3O^+ + OH^-\]
The equilibrium constant for this reaction, known as the ion product constant of water (K_w), is given by: \[K_w = [H_3O^+][OH^-] = 1.0 \times 10^{-14} M^2\]
02
Understand the properties of Cl鈦 ions
Chloride ions (Cl鈦) are the conjugate bases of hydrochloric acid (HCl). When HCl is added to water, it completely dissociates into H鈦 and Cl鈦 ions: \[HCl \rightarrow H^+ + Cl^-\]
The Cl鈦 ions are considered spectator ions since they do not participate in the chemical equilibrium that determines the pH of the solution. This means that they are too weak to either donate an H鈦 ion (acting as an acid) or accept an H鈦 ion (acting as a base), and therefore do not affect the pH of the solution.
03
Explain the lack of interaction between Cl鈦 ions and water molecules
For the Cl鈦 ions to affect the pH of the solution, they either need to cause an increase in H鈦 concentration (making the solution more acidic) or cause a decrease in H鈦 concentration (making the solution less acidic, or more basic).
However, because Cl鈦 is the conjugate base of the strong acid HCl, it is a very weak base and has a negligible ability to accept an H鈦 ion from water. So, there is no significant reaction between Cl鈦 ions and water: \[Cl^- + H_2O \rightleftharpoons HCl + OH^-\]
The equilibrium for this reaction lies far to the left, meaning that Cl鈦 does not significantly increase the concentration of OH鈦 ions (or decrease the concentration of H鈦 ions).
04
Conclude why Cl鈦 does not affect the pH of the solution
In summary, Cl鈦 ions do not affect the pH of an aqueous solution because they are incapable of changing the concentration of H鈦 or OH鈦 ions in the solution. Due to their weak basic nature as the conjugate base of the strong acid HCl, they do not significantly react with water molecules to either donate or accept H鈦 ions, and therefore have no impact on the pH of the solution.
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
pH scale
Imagine diving into a swimming pool. Depending on the chemicals added, the water might either sting your eyes or feel smooth. This sensation is often connected to the pH level of the water, an essential concept in chemistry that measures how acidic or basic a solution is. The pH scale ranges from 0 to 14 with lower numbers indicating higher acidity and higher numbers signifying greater alkalinity. The mid-point, 7, is neutral, which is the pH of pure water at 25掳C.
The pH value is mathematically defined as the negative logarithm of the concentration of hydrogen ions (\(H^+\) ions) in a solution. When hydrion concentration increases, the pH of the solution decreases, and vice versa. This measure is crucial because it helps us understand the balance of acidic and basic properties in substances we encounter every day, from the food we eat to the cleaning products we use.
The pH value is mathematically defined as the negative logarithm of the concentration of hydrogen ions (\(H^+\) ions) in a solution. When hydrion concentration increases, the pH of the solution decreases, and vice versa. This measure is crucial because it helps us understand the balance of acidic and basic properties in substances we encounter every day, from the food we eat to the cleaning products we use.
concentration of H鈦 and OH鈦 ions
To fully grasp the concept of pH, it's essential to know about the tiny particles that constitute the solution's acidity or basicity: the hydrogen ions (\(H^+\)) and hydroxide ions (\(OH^-\)). In a neutral solution, such as pure water, these two ion types are in perfect balance, with concentrations of 1.0 x 10^-7 M. This equilibrium represents a state in which the water is neither acidic nor basic.
The magic happens when a substance dissolved in water alters this delicate balance. If the number of hydrogen ions exceeds that of hydroxide ions, the solution becomes acidic. On the other hand, if hydroxide ions overtake hydrogen ions in quantity, the solution shifts toward being basic. The greater the imbalance, the stronger the acidity or basicity of the solution. Scientists utilize this principle to categorize and understand the behavior of various chemical solutions.
The magic happens when a substance dissolved in water alters this delicate balance. If the number of hydrogen ions exceeds that of hydroxide ions, the solution becomes acidic. On the other hand, if hydroxide ions overtake hydrogen ions in quantity, the solution shifts toward being basic. The greater the imbalance, the stronger the acidity or basicity of the solution. Scientists utilize this principle to categorize and understand the behavior of various chemical solutions.
ion product constant of water (K_w)
Water is not just a simple H2O molecule鈥攊t is a small theater of constant drama where water molecules split and recombine in a process called self-ionization. The equation \(2H_2O \rightleftharpoons H_3O^+ + OH^-\) illustrates this, where water acts both as an acid (donating a hydrogen ion) and as a base (accepting a hydrogen ion).
The ion product constant of water (Kw) keeps a tab on this molecular play. Its value, 1.0 x 10^-14 M^2 at 25掳C, is derived from the concentrations of the hydronium (\(H_3O^+\)) and hydroxide (\(OH^-\)) ions when they reach a state of equilibrium in pure water. Understanding Kw is vital because it remains constant for a given temperature, allowing chemists to predict the behavior of acidic and basic solutions. By measuring either the hydrogen or hydroxide ion concentration in a sample, Kw can be used to calculate the other, enabling a deep insight into the solution's qualities.
The ion product constant of water (Kw) keeps a tab on this molecular play. Its value, 1.0 x 10^-14 M^2 at 25掳C, is derived from the concentrations of the hydronium (\(H_3O^+\)) and hydroxide (\(OH^-\)) ions when they reach a state of equilibrium in pure water. Understanding Kw is vital because it remains constant for a given temperature, allowing chemists to predict the behavior of acidic and basic solutions. By measuring either the hydrogen or hydroxide ion concentration in a sample, Kw can be used to calculate the other, enabling a deep insight into the solution's qualities.
properties of Cl鈦 ions
Let's turn our attention to chloride ions (\(Cl^-\)), a common presence in various solutions but often misunderstood in terms of their role. These ions are the remaining halves of the highly reactive hydrochloric acid (HCl) molecule once it donates its hydrogen ion upon dissolving in water. Now, here's their secret: chloride ions barely interact with the water around them.
As spectator ions, they neither donate nor accept hydrogen ions, thus having no significant role in the production of acidity or basicity within a solution. Their ineffectiveness as an acid or base makes them chemically 'quiet,' which is why adding \(Cl^-\) ions to the water won't change its pH. This nuance of chloride ions is an excellent example of how not all dissolved substances alter the chemical character of a solution and emphasizes the importance of understanding the different roles ions play in chemical reactions and solutions.
As spectator ions, they neither donate nor accept hydrogen ions, thus having no significant role in the production of acidity or basicity within a solution. Their ineffectiveness as an acid or base makes them chemically 'quiet,' which is why adding \(Cl^-\) ions to the water won't change its pH. This nuance of chloride ions is an excellent example of how not all dissolved substances alter the chemical character of a solution and emphasizes the importance of understanding the different roles ions play in chemical reactions and solutions.