Buffer Solutions and pH Calculations
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What are the initial concentrations of CH3COOH, CH3COO-, and H3O+ in a buffer solution that is 0.100 M CH3COOH and 0.100 M CH3COONa?

[CH3COOH] = 0.100 M, [CH3COO-] = 0.100 M, [H3O+] ≈ 0

Explain why the change in concentration of CH3COOH is represented as -x, while the change in concentration of CH3COO- is represented as +x, in the ICE table for the dissociation of CH3COOH. This is assuming that the reaction goes to the right.

The change in concentration of CH3COOH is negative because it is being consumed in the reaction. The change in concentration of CH3COO− is positive because it is being produced in the reaction.

In the ICE table, we assume that the initial concentration of H3O+ is approximately 0. Why is this assumption valid?

The initial concentration of H3O+ is approximately 0 because the buffer solution is prepared from a weak acid and its conjugate base. The weak acid will only partially dissociate, resulting in a very low concentration of H3O+.

Write the equilibrium constant expression for the dissociation of CH3COOH.

<p>Ka = [H3O+][CH3COO-]/[CH3COOH]</p> Signup and view all the answers

Explain how the value of Ka is used to determine the pH of a buffer solution.

<p>The value of Ka determines the equilibrium concentrations of CH3COOH, CH3COO-, and H3O+ in the buffer solution. The concentration of H3O+ can be determined using the equilibrium constant expression. The pH of the buffer solution is then calculated using the formula pH = -log[H3O+].</p> Signup and view all the answers

In the calculation of the pH of a buffer solution, the approximation that x is much less than [CH3COOH]i and [CH3COO-]i is often made. Explain why this approximation is valid for weak acids.

<p>The approximation is valid because the dissociation of weak acids is limited, leading to small values of x. This allows us to simplify the equilibrium concentrations to their initial concentrations.</p> Signup and view all the answers

Why is it important to check if the approximation used in the calculation of the pH of a buffer solution is valid?

<p>Checking the validity of the approximation ensures that the calculated value of pH is accurate. If the approximation is not valid, then a more accurate calculation must be performed, which may involve the use of the quadratic formula.</p> Signup and view all the answers

What is the relationship between [H3O+] and pH?

<p>pH = -log[H3O+]</p> Signup and view all the answers

Explain how buffer solutions resist changes in pH when an acid or base is added to them. What is the chemical principle behind this resistance?

<p>Buffer solutions resist changes in pH by neutralizing the added acid or base. This is achieved through the presence of a weak acid and its conjugate base (or a weak base and its conjugate acid). The weak acid/base reacts with any added base/acid, shifting the equilibrium to minimize changes in hydrogen ion (H+) concentration and thus maintain the pH.</p> Signup and view all the answers

What is the common ion effect and how does it influence the pH of a buffer solution?

<p>The common ion effect occurs when adding a salt containing the conjugate base of the weak acid to the buffer solution, increasing the concentration of the conjugate base. This shifts the equilibrium of the weak acid/base reaction to the left, suppressing the ionization of the weak acid and resulting in a higher pH.</p> Signup and view all the answers

Explain how a buffer solution works by applying Le Chatelier’s Principle. Describe the chemical reactions that occur when a base or acid is added to the buffer solution.

<p>When a base (OH-) is added to a buffer, it reacts with the weak acid (HA) in the equilibrium, forming the conjugate base (A-) and water. This causes the equilibrium to shift to the right, consuming the added OH- and minimizing the pH change. When an acid (H3O+) is added, it reacts with the conjugate base (A-) in the equilibrium, reforming the weak acid (HA) and water, shifting the equilibrium to the left. This neutralizes the H3O+ and prevents the pH from decreasing significantly.</p> Signup and view all the answers

A solution contains 0.20 M acetic acid (CH3COOH, Ka = 1.8 x 10^-5) and 0.15 M sodium acetate (CH3COONa). Explain how this solution functions as a buffer.

<p>The solution acts as a buffer because it contains appreciable amounts of both the weak acid (acetic acid) and its conjugate base (acetate ion, from sodium acetate). This allows it to neutralize added acid or base by shifting the equilibrium of the acetic acid dissociation reaction to counteract the added stress and keep the pH relatively stable.</p> Signup and view all the answers

Describe how the pH of a buffer solution changes when a small amount of strong acid is added. How does this compare to the pH change if the same amount of acid is added to pure water?

<p>Adding a small amount of strong acid to a buffer solution will cause a small decrease in pH, but the change will be much less drastic than if the same amount of acid were added to pure water. This is because the buffer will react with the added acid, neutralizing it and minimizing the change in H+ concentration. In pure water, the addition of acid will significantly increase the H+ concentration, leading to a substantial reduction in pH.</p> Signup and view all the answers

How would you prepare a buffer solution with a pH of 4.5 using a weak acid with a pKa of 4.0? Why would you want to maintain a pH of 4.5?

<p>To prepare a buffer with a pH of 4.5 using a weak acid with a pKa of 4.0, you would need to adjust the ratio of the weak acid to its conjugate base. Since the desired pH is slightly higher than the pKa, you would need a slightly higher concentration of the conjugate base than the weak acid. This could be achieved by adding a salt containing the conjugate base to the solution. Maintaining a pH of 4.5 might be needed for various reasons, including optimizing the activity of certain enzymes, ensuring stability of a chemical reaction, or controlling the solubility of a compound.</p> Signup and view all the answers

Explain why a buffer solution becomes less effective as the concentration of the weak acid or its conjugate base decreases.

<p>A buffer solution becomes less effective as the concentration of the weak acid or its conjugate base decreases because it has a lower capacity to neutralize added acid or base. With fewer molecules of the weak acid and its conjugate base available, the equilibrium shifts less effectively to counteract the added stress. This results in a greater change in pH with the addition of the same amount of acid or base.</p> Signup and view all the answers

Describe the relationship between the pKa of a weak acid and the pH of a buffer solution. How does the pKa influence the buffer's effectiveness?

<p>The pKa of a weak acid is the pH at which the concentrations of the weak acid and its conjugate base are equal. When the pH of a buffer solution is close to the pKa of the weak acid, the buffer is most effective at resisting changes in pH. This is because a small change in pH will only slightly shift the equilibrium between the weak acid and its conjugate base. However, when the pH of the buffer is significantly different from the pKa, the buffer becomes less effective because the equilibrium is more heavily shifted towards one form or the other, making it less able to neutralize added acid or base.</p> Signup and view all the answers

What is the purpose of a buffer solution in chemical reactions?

<p>A buffer solution resists changes in pH when acids or bases are added.</p> Signup and view all the answers

Explain the significance of the Henderson-Hasselbalch equation for basic buffers.

<p>The Henderson-Hasselbalch equation allows for the calculation of pH in basic buffers by relating the concentrations of the weak base and its conjugate acid.</p> Signup and view all the answers

How do you calculate the pKa from the given pKb of a weak base?

<p>To calculate the pKa, use the relationship: pKa + pKb = 14.</p> Signup and view all the answers

What components make up a basic buffer system?

<p>A basic buffer system consists of a weak base and a soluble salt of its conjugate acid.</p> Signup and view all the answers

In the Henderson-Hasselbalch equation for a basic buffer, what do the variables represent?

<p>In the equation, [B] represents the concentration of the weak base and [HB+] represents the concentration of the conjugate acid.</p> Signup and view all the answers

What happens to the pH of a buffer when an acid is added?

<p>The pH of the buffer may change slightly, but the buffer resists significant changes.</p> Signup and view all the answers

Describe the 'x is small' approximation in buffer chemistry.

<p>'X is small' approximation suggests that the changes in concentration due to the addition of acid or base are negligible compared to initial concentrations.</p> Signup and view all the answers

Why is it important to use weak acids and bases in buffer systems?

<p>Weak acids and bases provide a mechanism for reversible reactions that can adjust the pH without allowing drastic changes.</p> Signup and view all the answers

What is the pH of a buffer solution composed of 0.100 M CH3COOH and 0.100 M CH3COONa?

<p>The pH is approximately 4.76.</p> Signup and view all the answers

What role does the 'x is small' approximation play in applying the Henderson-Hasselbalch equation?

<p>The 'x is small' approximation allows for the simplification of the equilibrium expressions by assuming that the change in concentrations is negligible.</p> Signup and view all the answers

How can the pKa be derived from a given Ka value?

<p>pKa can be calculated using the formula pKa = -log(Ka).</p> Signup and view all the answers

If a buffer solution has 0.050 M C6H5COOH and 0.150 M C6H5COONa, what is the pH?

<p>The pH is approximately 4.19.</p> Signup and view all the answers

What conditions must be met to use the Henderson-Hasselbalch equation reliably?

<p>Both acid and salt concentrations should be over 100x to 1000x larger than the value of Ka.</p> Signup and view all the answers

What initial values are used when calculating the pH of a buffer in equilibrium?

<p>The initial values are the concentrations of the weak acid [HA] and its conjugate base [A−].</p> Signup and view all the answers

In the context of buffer solutions, what does Ka represent?

<p>Ka represents the acidity constant of the weak acid, indicating its strength in dissociating into ions.</p> Signup and view all the answers

What is the significance of the Henderson-Hasselbalch equation in buffer calculations?

<p>The Henderson-Hasselbalch equation simplifies the process of calculating the pH of a buffer solution based on its components.</p> Signup and view all the answers

What is the first step needed to calculate the new pH after adding an acid to a buffer?

<p>Perform a stoichiometric calculation for the reaction between the added acid and the buffer's base component.</p> Signup and view all the answers

How does the addition of a base affect the components of a buffer?

<p>Adding a base causes it to react with the acid component of the buffer, increasing the concentration of the base component.</p> Signup and view all the answers

What defines the buffer capacity?

<p>Buffer capacity refers to the amount of acid or base that can be added to a buffer without causing a significant change in pH.</p> Signup and view all the answers

Why is the pKa value important when choosing an acid for a buffer?

<p>The pKa value should be closest to the desired pH of the buffer to ensure effective buffering.</p> Signup and view all the answers

In a buffer designed for added acid, what is the expected relationship between the concentrations of [base] and [acid]?

<p>In buffers for added acid, the concentration of [base] should be greater than that of [acid].</p> Signup and view all the answers

What makes a buffer effective within a specific pH range?

<p>A buffer is effective when its pH falls within the range defined by the pKa of the acid and the buffer's effective limits.</p> Signup and view all the answers

Calculate the ratio of NaCHO2 : HCHO2 required for a buffer with pH 4.25, given that HCHO2 has pKa of 3.74.

<p>The required ratio can be calculated using the Henderson-Hasselbalch equation, which gives approximately 2.3:1.</p> Signup and view all the answers

Which acid would be best to combine with its sodium salt for a buffer at pH 4.25: HClO2 (pKa 1.95), HNO2 (pKa 3.34), HCHO2 (pKa 3.74), or HClO (pKa 7.54)?

<p>Formic acid (HCHO2) with pKa 3.74 is the best choice for a buffer at pH 4.25.</p> Signup and view all the answers

Flashcards

Common Ion Effect

A phenomenon where the solubility of a salt is reduced due to the presence of a common ion.

Buffer Solution

A solution that resists changes in pH upon the addition of small amounts of acid or base.

Henderson-Hasselbalch Equation

An equation used to calculate the pH of a buffer from the pKa and concentrations of acid/base.

pKa

The negative logarithm of the acid dissociation constant (Ka), indicating the strength of an acid.

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Initial Concentrations

The concentrations of acid and conjugate base before any reaction occurs.

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Equilibrium Concentrations

The concentrations of species in a solution when the system has reached balance and no net change occurs.

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x is small approximation

Assumption that changes in concentrations (x) are negligible compared to initial concentrations in equilibrium calculations.

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Calculating pH of a Buffer

Process of determining the pH level of a buffer solution using its components and the Henderson-Hasselbalch equation.

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Le Châtelier’s Principle

A principle stating that a system in equilibrium will adjust to counteract changes.

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Weak Acid Equilibrium

The balance between weak acids and their conjugate bases in solution.

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Adding Base to Buffer

Buffers neutralize added bases by reacting with weak acid molecules.

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Adding Acid to Buffer

Buffers neutralize added acids using the conjugate base anion.

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Buffer Effectiveness

The ability of a buffer to maintain pH during acid/base addition.

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ICE Table

An table used to track Initial, Change, and Equilibrium concentrations in reactions.

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New pH calculation

Determining new pH after adding acid or base requires stoichiometry & equilibrium calculations.

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Buffer capacity

The amount of acid or base a buffer can absorb without a significant pH change.

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Buffer range

The optimal pH range in which a buffer can effectively neutralize acids or bases.

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Choosing a buffer acid

Select an acid with a pKa closest to the desired buffer pH for optimal buffering.

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Reaction of added acid

When acid is added, it reacts with the base component in the buffer to form more weak acid.

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Reaction of added base

When base is introduced, it reacts with the weak acid component to form more base component.

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Ka (Acid Dissociation Constant)

A measure of the strength of an acid in solution, indicating its ability to donate protons.

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H3O+ Concentration

Represents the concentration of hydronium ions in a solution, determining its acidity.

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pH Calculation

A numeric scale used to specify the acidity or basicity of an aqueous solution.

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Change in Concentrations

The adjustments in the concentrations of reactants and products when equilibrium is reached.

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Approximation Validity

Checking if the assumptions made in calculations are reasonable, especially x's size.

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Substituting into Equations

Inserting values for variables into equations to solve for unknowns.

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Basic Buffer

A solution made from a weak base and its conjugate acid.

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Weak Base

A substance that partially ionizes in solution to accept protons.

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Conjugate Acid

Species formed when a weak base gains a proton.

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pKa and pKb Relationship

The pKa of an acid plus the pKb of its conjugate base equals 14.

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Concentration Assumption

Assuming initial concentrations equal equilibrium concentrations for buffers.

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pH Change in Buffers

Buffers resist but can still change pH when acids or bases are added.

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Study Notes

Buffer Solutions

  • Buffers are solutions that resist small changes in pH when acid or base is added.
  • Buffers work by neutralizing excess acid or base that is added to the solution.
  • Blood contains a mixture of H₂CO₃ and HCO₃⁻.
  • Pharmaceuticals and shampoo can be modified using buffers.
  • Shampoo is a buffer of citric acid and NaOH.
  • Buffers work by applying Le Châtelier's Principle to weak acid equilibrium.
  • Buffers contain significant amounts of the weak acid molecules, HA.
  • Weak acid molecules neutralize the added base.
  • The H₃O⁺ combines with the OH⁻ to make H₂O, and H₃O⁺ is then replaced by the shifting equilibrium.
  • The buffer solution also contains significant amounts of the conjugate base anion, A⁻.
  • The conjugate base anion reacts with added acid to make HA.
  • After the equilibrium shifts, the concentration of H₃O⁺ (H⁺) is kept constant.
  • Adding a salt containing the anion, NaA, shifts equilibrium to the left, causing the pH to be higher than the pH of the acid solution.

Learning Objectives

  • Calculate the pH of a buffer solution.
  • Calculate the pH change when acid or base is added to a buffer solution.
  • Specify the composition of a buffer solution with a given pH.
  • Understand buffer "effectiveness".

Making a Buffer

  • A buffer is made by mixing a weak acid and its conjugate base in solution.

How Acid Buffers Work: Adding Base

  • Buffers contain significant amounts of the weak acid molecules, HA.
  • These molecules react with added base to neutralize it.

How Acid Buffers Work: Adding Acid

  • The buffer solution also contains significant amounts of the conjugate base anion, A⁻.
  • These ions react with the added acid to make HA.
  • The concentration of H₃O⁺(H⁺) is kept constant after equilibrium shifts.

Common Ion Effect

  • Adding a salt containing the anion NaA (the common ion) shifts the position of equilibrium to the left, raising the pH of the acid solution.
  • pH is higher than the acid alone.

Practice Problems (Example)

  • Calculate the pH of a buffer that is 0.100M CH₃COOH and 0.100 M CH₃COONa.
    • Initial concentrations of [HA] = 0.100, [A⁻] = 0.100, [H₃O⁺] = 0.

Henderson-Hasselbalch Equation

  • Calculating the pH of a buffer solution can be simplified using the Henderson-Hasselbalch equation.
  • The equation calculates the pH of a buffer using the pKa and initial concentrations of the weak acid and salt of the conjugate base.
  • The equation is valid as long as the "x is small" approximation is valid.

Deriving the HH Equation

  • Ka= [A⁻][H₃O⁺]/[HA]
  • [H₃O⁺] = Ka[HA]/[A⁻]

Do I Use the Full Analysis or HH?

  • The Henderson-Hasselbalch equation is helpful for approximating the pH of a buffer when the initial acid and salt concentrations are over 100x-1000x the value of Ka.

Example Problems

  • Calculate the pH of a buffer that is 0.050 M C₆H₅COOH and 0.150 M C₆H₅COONa.

Practice Problems (Example)

  • Calculate the pH of a buffer that is 0.14 M HF (Ka= 7.08 x 10⁻⁴) and 0.071M KF.

Basic Buffers

  • Buffers can be formed from mixing a weak base and a soluble salt of its conjugate acid.

HH Equation for Basic Buffers

  • The Henderson-Hasselbalch equation can be used to calculate the pH or pOH of a basic buffer solution.
  • Equation is rewritten in terms of pOH.

Relationship between pKa and pKb

  • There's a relationship between the pKa of a weak acid and the pKb of its conjugate base.

Example Problems

  • What is the pH of a buffer that is 0.50 M NH₃ (pKb = 4.75) and 0.20 M NH₄Cl?

Effectiveness of Buffers

  • A good buffer can neutralize moderate amounts of added acid or base.
  • Buffer capacity is the amount of acid or base that can be added without causing a large change in pH.
  • The buffer range is a useful measurement for buffer effectiveness.

Buffer Capacity

  • Buffer capacity is the amount of acid or base that can be added to a buffer without causing a large change in pH.
  • Buffers intended to work with added acid have a generally higher [base] than [acid].
  • Buffers intended to work with added base have a generally higher [acid] than [base].

Buffer Range

  • A buffer is most effective when the pH is close to its pKa. The maximum and minimum effective pH can be calculated.

Practice Problems

  • Which acid is best to combine with its sodium salt to create a buffer with pH 4.25 given a list of different acids?
  • Calculate the ratio of NaCHO₂ to HCHO₂ for a buffer with pH 4.25.

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Description

This quiz explores the concepts related to buffer solutions, specifically focusing on acetic acid (CH3COOH) and its conjugate base CH3COO-. It includes questions on ICE tables, equilibrium constant expressions, and the approximation methods used in calculating pH for weak acids. Delve into the dynamics of buffer solutions and learn how they maintain pH stability.

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