Design a buffer that has a pH of 3.76 using one of the weak acid/conjugate base systems shown below. Weak Acid Conjugate Base Ka pka HC₂04 C₂04²- 6.4 x 10-5 4.19 H₂PO4 HPO4²- 6.2 x 10-8 7.21 HCO3 CO3²- 4.8 x 10-11 10.32
Design a buffer that has a pH of 3.76 using one of the weak acid/conjugate base systems shown below. Weak Acid Conjugate Base Ka pka HC₂04 C₂04²- 6.4 x 10-5 4.19 H₂PO4 HPO4²- 6.2 x 10-8 7.21 HCO3 CO3²- 4.8 x 10-11 10.32
Chemistry: The Molecular Science
5th Edition
ISBN:9781285199047
Author:John W. Moore, Conrad L. Stanitski
Publisher:John W. Moore, Conrad L. Stanitski
Chapter15: Additional Aqueous Equilibria
Section: Chapter Questions
Problem 108QRT
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![### Designing a Buffer System with pH 3.76
**Objective:**
Design a buffer that has a pH of 3.76 using one of the weak acid/conjugate base systems shown below.
#### Buffer Systems:
The table shows three potential weak acid/conjugate base systems, their dissociation constants (Kₐ), and their pKₐ values:
| Weak Acid | Conjugate Base | Kₐ | pKₐ |
| --------- | -------------- | --- | --- |
| HC₂O₄⁻ | C₂O₄²⁻ | 6.4 x 10⁻⁵ | 4.19 |
| H₂PO₄⁻ | HPO₄²⁻ | 6.2 x 10⁻⁸ | 7.21 |
| HCO₃⁻ | CO₃²⁻ | 4.8 x 10⁻¹¹ | 10.32 |
**Problem:**
How many grams of the potassium salt of the weak acid must be combined with how many grams of the potassium salt of its conjugate base, to produce 1.00 L of a buffer that is 1.00 M in the weak base?
**Required Calculations:**
- grams of potassium salt of the weak acid = ____
- grams of potassium salt of the conjugate base = ____
### Understanding the Table and Problem
The table contains valuable information about different buffer systems that can potentially be used to create a buffer solution with the desired pH. Here's a breakdown of the columns:
- **Weak Acid:** The chemical formula of the weak acid.
- **Conjugate Base:** The chemical formula of the conjugate base that pairs with the weak acid.
- **Kₐ (Acid Dissociation Constant):** A numeric value representing the strength of the weak acid in water.
- **pKₐ:** The negative logarithm of the Kₐ value, giving a more intuitive measure of acid strength.
### Choosing the Appropriate Buffer System
To choose the correct buffer system, compare the desired pH (3.76) with the pKₐ values of the acids. The most effective buffer will have a pKₐ close to the desired pH. In this case:
- HC₂O₄⁻ has a pKₐ of 4.19, which is close](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6ab0bbaf-7c6a-41d9-a28d-d2a0ce6f8c93%2F1b3580b0-fc07-4a1c-a1e0-971689aa5819%2F0kbz5rh_processed.png&w=3840&q=75)
Transcribed Image Text:### Designing a Buffer System with pH 3.76
**Objective:**
Design a buffer that has a pH of 3.76 using one of the weak acid/conjugate base systems shown below.
#### Buffer Systems:
The table shows three potential weak acid/conjugate base systems, their dissociation constants (Kₐ), and their pKₐ values:
| Weak Acid | Conjugate Base | Kₐ | pKₐ |
| --------- | -------------- | --- | --- |
| HC₂O₄⁻ | C₂O₄²⁻ | 6.4 x 10⁻⁵ | 4.19 |
| H₂PO₄⁻ | HPO₄²⁻ | 6.2 x 10⁻⁸ | 7.21 |
| HCO₃⁻ | CO₃²⁻ | 4.8 x 10⁻¹¹ | 10.32 |
**Problem:**
How many grams of the potassium salt of the weak acid must be combined with how many grams of the potassium salt of its conjugate base, to produce 1.00 L of a buffer that is 1.00 M in the weak base?
**Required Calculations:**
- grams of potassium salt of the weak acid = ____
- grams of potassium salt of the conjugate base = ____
### Understanding the Table and Problem
The table contains valuable information about different buffer systems that can potentially be used to create a buffer solution with the desired pH. Here's a breakdown of the columns:
- **Weak Acid:** The chemical formula of the weak acid.
- **Conjugate Base:** The chemical formula of the conjugate base that pairs with the weak acid.
- **Kₐ (Acid Dissociation Constant):** A numeric value representing the strength of the weak acid in water.
- **pKₐ:** The negative logarithm of the Kₐ value, giving a more intuitive measure of acid strength.
### Choosing the Appropriate Buffer System
To choose the correct buffer system, compare the desired pH (3.76) with the pKₐ values of the acids. The most effective buffer will have a pKₐ close to the desired pH. In this case:
- HC₂O₄⁻ has a pKₐ of 4.19, which is close
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