pH of a Weak Acid

Khan Academy
7 Sept 200917:49
EducationalLearning
32 Likes 10 Comments

TLDRThe video script discusses the properties of strong and weak acids, using hydrochloric acid and hydrofluoric acid as examples. It explains that strong acids, like hydrochloric, fully dissociate in water, increasing the hydrogen ion concentration and resulting in a lower pH. In contrast, weak acids like hydrofluoric acid partially dissociate, establishing an equilibrium with their ions in solution. The script also delves into the reasons behind the difference in acidity, attributing it to the bond strength between hydrogen and the halogen, with fluorine forming a stronger bond, making hydrofluoric acid weaker than acids with other halogens. The video concludes with a calculation of the pH for a 1.5 molar solution of hydrofluoric acid, demonstrating the application of equilibrium constants and highlighting that despite being more concentrated, hydrofluoric acid is less acidic than hydrochloric acid.

Takeaways
  • ๐ŸŒŸ Strong acids, like hydrochloric acid, completely dissociate in aqueous solutions, forming hydrogen ions (or hydronium molecules) and their respective anions.
  • ๐ŸŽ“ The Arrhenius definition of an acid is a substance that increases the hydrogen ion concentration in a solution, which applies to strong acids due to their complete dissociation.
  • ๐Ÿ In the Bronsted-Lowry definition, strong acids donate protons (hydrogen ions), while weak acids, like hydrofluoric acid, only partially dissociate, establishing an equilibrium between the acid and its ions in solution.
  • ๐Ÿ” The Lewis acid definition involves an acid as an electron pair acceptor. Hydrochloric acid is a Lewis acid because it accepts electrons from water molecules, leading to the formation of hydronium ions.
  • ๐Ÿ’ก The strength of an acid is inversely related to the extent of its dissociation in water. Strong acids fully dissociate, while weak acids only partially do so, maintaining an equilibrium between the undissociated acid and its ions.
  • ๐Ÿ“Š The periodic table can provide insights into the strength of acids formed from hydrogen and halogens. Hydrogen fluoride (HF) is an exception among the hydrogen halides, being a weak acid due to the high electronegativity of fluorine.
  • ๐ŸŒก๏ธ The pH of a solution can be calculated using the equilibrium constant (Ka) for the acid dissociation reaction, the initial concentration of the acid, and an understanding of the equilibrium between dissociated and undissociated species.
  • ๐Ÿ”ข For weak acids, an approximation can be made by neglecting the smaller term in the quadratic equation derived from the equilibrium expression, simplifying the calculation of the hydrogen ion concentration.
  • ๐ŸŽฏ The exact pH can be determined by solving the quadratic equation, which provides the precise hydrogen ion concentration, and then taking the negative logarithm (log) of this concentration.
  • ๐ŸŒ Even with higher molarity, a weak acid like hydrofluoric acid does not reach the same low pH levels as a strong acid like hydrochloric acid, highlighting the difference in their dissociation behaviors.
  • ๐Ÿ“š Understanding the dissociation behavior of acids is crucial for calculating pH and for predicting the reactions of acids in various chemical contexts.
Q & A
  • What is the defining characteristic of a strong acid?

    -A strong acid is one that completely dissociates into its ions in an aqueous solution, such as hydrochloric acid which fully breaks down into hydrogen ions (or hydronium molecules) and chloride anions.

  • How does the Arrhenius definition of an acid relate to hydrochloric acid?

    -According to the Arrhenius definition, an acid is a substance that increases the hydrogen ion concentration in a solution. Hydrochloric acid is an acid in this sense because it dissociates in water to increase the concentration of hydrogen ions.

  • What are the criteria for a substance to be classified as a Bronsted-Lowry acid?

    -A substance is a Bronsted-Lowry acid if it donates a proton (hydrogen ion) to another substance. Hydrochloric acid fits this definition because it donates hydrogen protons when dissolved in water.

  • How does hydrochloric acid behave as a Lewis acid?

    -Hydrochloric acid acts as a Lewis acid because it accepts electrons from other molecules or ions during its reaction. In the case of the chloride ion, the acid takes the electron pair from the chloride, making it an electron acceptor.

  • What is the main difference between strong and weak acids?

    -The main difference between strong and weak acids is the degree of dissociation. Strong acids, like hydrochloric acid, dissociate completely in solution, while weak acids, like hydrofluoric acid, only partially dissociate, existing in an equilibrium state of both dissociated and undissociated forms.

  • Why is hydrofluoric acid considered a weak acid compared to other halogen acids?

    -Hydrofluoric acid is a weak acid because the bond between hydrogen and fluorine is stronger due to fluorine's high electronegativity. This stronger bond makes it less likely to dissociate completely in water, unlike the bonds in strong acids where the halogens are less electronegative.

  • How does the periodic table influence the strength of halogen acids?

    -The periodic table shows that the strength of halogen acids generally decreases as you move down the group. This is because the electronegativity of the halogens increases, leading to stronger bonds with hydrogen and thus weaker acids when you reach fluorine.

  • What is the equilibrium constant for hydrofluoric acid at 25 degrees Celsius?

    -The equilibrium constant (Ka) for hydrofluoric acid at 25 degrees Celsius is approximately 7 times 10 to the minus 4th.

  • How can you estimate the pH of a solution with 1.5 molar of hydrofluoric acid?

    -By using the equilibrium constant (Ka) and setting up an equation to solve for the concentration of hydrogen ions (x), you can then calculate the pH by taking the negative logarithm of the hydrogen ion concentration. The approximate pH for a 1.5 M solution of hydrofluoric acid is 1.49.

  • What is the significance of the quadratic equation in calculating pH?

    -The quadratic equation is used to find the concentration of hydrogen ions (x) in a weak acid solution like hydrofluoric acid. By solving for x, you can determine the hydrogen ion concentration, which is necessary for calculating the pH of the solution.

  • How does the approximation of ignoring the smaller term in the quadratic equation help in solving for pH?

    -The approximation simplifies the quadratic equation by ignoring the smaller term, making it easier to solve for the hydrogen ion concentration. This provides a close estimate of the pH without having to solve the full quadratic equation.

Outlines
00:00
๐Ÿงช Understanding Strong and Weak Acids

This paragraph discusses the properties of strong acids, such as hydrochloric acid, which completely dissociate in water, and weak acids, like hydrofluoric acid, which only partially dissociate. The difference in behavior is attributed to the strength of the bond between hydrogen and the halogen. Strong acids have a higher tendency to donate protons, resulting in a complete dissociation and a lower pH, while weak acids establish an equilibrium between the dissociated and undissociated forms, leading to a higher pH value.

05:00
๐Ÿ“Š Calculating the pH of a Weak Acid Solution

The paragraph explains the process of calculating the pH of a weak acid solution, specifically hydrofluoric acid, using its equilibrium constant and molarity. It introduces the concept of an equilibrium reaction and how to set up an equation to solve for the concentration of hydrogen ions, which is necessary to determine the pH. The explanation includes an approximation method for simplifying the calculation and emphasizes the importance of understanding the equilibrium constant and its role in weak acid dissociation.

10:01
๐Ÿงฎ Solving the Quadratic Equation for pH

This section delves into the algebraic process of solving the quadratic equation derived from the equilibrium reaction of a weak acid. It demonstrates how to rearrange the equation to isolate the variable and solve for the concentration of hydrogen ions. The paragraph highlights the use of approximation techniques to simplify the solution and then confirms the result by solving the quadratic equation exactly. The goal is to find the exact hydrogen ion concentration, which is crucial for accurately calculating the pH of the solution.

15:05
๐Ÿ“‰ Comparing the pH of Different Acid Solutions

The final paragraph concludes the discussion by comparing the calculated pH of a 1.5 molar hydrofluoric acid solution to that of a 1 molar hydrochloric acid solution. It emphasizes that despite having a higher molarity, the weak acid (hydrofluoric acid) does not result in as low a pH as the strong acid (hydrochloric acid). The paragraph reinforces the concept that the strength of an acid is determined by its ability to dissociate in solution, and it provides a clear example of how weak acids behave differently from strong acids in terms of pH and dissociation.

Mindmap
Keywords
๐Ÿ’กStrong Acids
Strong acids are substances that completely dissociate into their ions in an aqueous solution. The script specifically mentions hydrochloric acid as an example of a strong acid because it fully disassociates into hydrogen ions (or hydronium molecules) and chloride anions, thus increasing the hydrogen concentration in the solution and exhibiting the characteristics of an Arrhenius, Bronsted-Lowry, and Lewis acid.
๐Ÿ’กWeak Acids
Weak acids are those that do not fully dissociate in an aqueous solution, resulting in an equilibrium between the dissociated and undissociated forms. The script contrasts strong acids with weak acids like hydrofluoric acid, which only partially dissociates in water, leading to the existence of both the acid and its ions in the solution.
๐Ÿ’กArrhenius Definition
The Arrhenius definition of acids posits that acids are substances that increase the concentration of hydrogen ions (H+) in a solution. In the script, it is mentioned that strong acids like hydrochloric acid fit this definition because they increase the hydrogen concentration in the water by completely dissociating.
๐Ÿ’กBronsted-Lowry Definition
The Bronsted-Lowry definition expands the concept of acids to include any substance that donates a proton (H+) to another substance. In the context of the script, even though hydrochloric acid is fully dissociated, it is still considered an acid under this definition because it donates hydrogen protons.
๐Ÿ’กLewis Acid
A Lewis acid is a substance that accepts electrons from another substance. In the script, hydrochloric acid is described as a Lewis acid because it can be viewed as taking electrons for itself, particularly the chloride ion, which results in an electron acceptor behavior.
๐Ÿ’กEquilibrium Reaction
An equilibrium reaction is a chemical reaction in which the forward and reverse reactions occur at the same rate, resulting in a balance of reactants and products. In the script, the dissociation of hydrofluoric acid in water is described as an equilibrium reaction, with both the forward reaction (dissociation) and the reverse reaction (association) occurring simultaneously.
๐Ÿ’กHydrofluoric Acid
Hydrofluoric acid is a weak acid that partially dissociates in an aqueous solution, resulting in an equilibrium between the acid and its ions. The script discusses the properties of hydrofluoric acid, contrasting it with strong acids like hydrochloric acid, and explains why it is weaker due to the stronger bond between hydrogen and fluorine.
๐Ÿ’กpH
pH is a measure of the acidity or basicity of a solution, defined as the negative logarithm (base 10) of the activity of hydrogen ions in the solution. The script discusses calculating the pH of hydrofluoric acid, a weak acid, by using its equilibrium constant and the concentration of the acid, ultimately showing that the pH is 1.49 for a 1.5 molar solution.
๐Ÿ’กEquilibrium Constant
The equilibrium constant is a measure of the extent to which a chemical reaction proceeds before reaching equilibrium. It is the ratio of the concentrations of the products to the reactants, each raised to the power of their stoichiometric coefficients in the balanced equation. In the script, the equilibrium constant for the dissociation of hydrofluoric acid is given as 7 times 10 to the minus 4, which is used to calculate the pH of the solution.
๐Ÿ’กQuadratic Equation
A quadratic equation is a polynomial equation of degree two, in which the highest power of the variable is 2. The script involves solving a quadratic equation to find the concentration of hydrogen ions in the solution, which is necessary for determining the pH of hydrofluoric acid.
๐Ÿ’กElectronegativity
Electronegativity is a measure of the tendency of an atom to attract a bonding pair of electrons. In the script, it is mentioned that fluorine is more electronegative than chlorine, which influences the strength of the bond between hydrogen and fluorine in hydrofluoric acid, making it a weaker acid compared to hydrochloric acid.
Highlights

Strong acids completely dissociate in aqueous solutions, such as hydrochloric acid into hydrogen ions and chloride anions.

Hydrochloric acid is considered a strong acid under the Arrhenius definition because it increases the hydrogen concentration in water.

In the Bronsted-Lowry definition, hydrochloric acid is an acid because it donates hydrogen protons.

Hydrochloric acid is also a Lewis acid as it can be viewed as accepting electrons, particularly the chloride anion.

Weak acids, such as hydrofluoric acid, do not completely dissociate in aqueous solutions and establish an equilibrium between the dissociated and undissociated forms.

The difference in acidity between hydrochloric acid and hydrofluoric acid is due to the strength of the bond between hydrogen and the halogen; fluorine being more electronegative leads to a stronger bond and thus a weaker acid.

The equilibrium constant for the dissociation of hydrofluoric acid at 25 degrees Celsius is approximately 7 times 10 to the power of negative 4.

To find the pH of a solution, one must solve for the hydrogen ion concentration using the equilibrium constant and the initial concentration of the acid.

An approximation can be made by ignoring the term involving the square of the dissociated concentration in the quadratic equation, simplifying the solution process.

The approximate pH of a 1.5 molar solution of hydrofluoric acid is 1.49, which is higher than the pH of a 1 molar solution of hydrochloric acid.

The concept of electronegativity plays a crucial role in determining the strength of acids when bonded with hydrogen.

Hydrogen's unique position in the periodic table and its bonding behavior with halogens is central to understanding the strength of the resulting acids.

The pH scale is a logarithmic measure of the hydrogen ion concentration, where lower pH values indicate higher acidity.

The dissociation of acids in water is a fundamental concept in chemistry that helps explain the behavior of various substances in aqueous solutions.

The strength of an acid is not solely determined by the halogen it is bonded with but also by the specific bond strength, which can be influenced by factors like electronegativity.

The process of solving for pH involves algebraic manipulation and understanding of equilibrium reactions, showcasing the mathematical aspect of chemistry.

Transcripts
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