Calculate the equilibrium concentration for H30* for part a from question 1 based on the fact that K, is 2.5 x 10° and that the initial concentration of HBrO is 0.15 M.
Calculate the equilibrium concentration for H30* for part a from question 1 based on the fact that K, is 2.5 x 10° and that the initial concentration of HBrO is 0.15 M.
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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![**Problem Statement:**
Calculate the equilibrium concentration for \( \text{H}_3\text{O}^+ \) for part a from question 1 based on the fact that \( K_a \) is \( 2.5 \times 10^{-9} \) and that the initial concentration of HBrO is 0.15 M.
---
**Solution Explanation:**
1. **Understand the Given Data:**
- \( K_a \) (acid dissociation constant) = \( 2.5 \times 10^{-9} \)
- Initial concentration of HBrO (weak acid) = 0.15 M
2. **Set Up the Equilibrium Expression:**
The dissociation of HBrO in water can be represented as:
\[ \text{HBrO} + \text{H}_2\text{O} \rightleftharpoons \text{H}_3\text{O}^+ + \text{BrO}^- \]
3. **Use the \( K_a \) Expression:**
The expression for the acid dissociation constant (\( K_a \)) is:
\[ K_a = \frac{[\text{H}_3\text{O}^+][\text{BrO}^-]}{[\text{HBrO}]} \]
4. **Assume Initial Concentrations and Changes:**
Let \( x \) be the concentration of \( \text{H}_3\text{O}^+ \) at equilibrium. Therefore:
- Initial concentration of \( \text{HBrO} \) = 0.15 M
- Change in \( \text{H}_3\text{O}^+ \) and \( \text{BrO}^- \) = \( +x \)
- Change in \( \text{HBrO} \) = \( -x \)
At equilibrium:
\[ [\text{H}_3\text{O}^+] = x \]
\[ [\text{BrO}^-] = x \]
\[ [\text{HBrO}] = 0.15 - x \]
5. **Apply the Initial Assumptions to the \( K_a \) Expression:**
\[ K_a = \frac{x \cdot](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa9e8573f-552b-4431-b931-fec80f931989%2F4bf39d6f-57a9-44f8-9846-7ebebb57651a%2Fd1wsl2r_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Calculate the equilibrium concentration for \( \text{H}_3\text{O}^+ \) for part a from question 1 based on the fact that \( K_a \) is \( 2.5 \times 10^{-9} \) and that the initial concentration of HBrO is 0.15 M.
---
**Solution Explanation:**
1. **Understand the Given Data:**
- \( K_a \) (acid dissociation constant) = \( 2.5 \times 10^{-9} \)
- Initial concentration of HBrO (weak acid) = 0.15 M
2. **Set Up the Equilibrium Expression:**
The dissociation of HBrO in water can be represented as:
\[ \text{HBrO} + \text{H}_2\text{O} \rightleftharpoons \text{H}_3\text{O}^+ + \text{BrO}^- \]
3. **Use the \( K_a \) Expression:**
The expression for the acid dissociation constant (\( K_a \)) is:
\[ K_a = \frac{[\text{H}_3\text{O}^+][\text{BrO}^-]}{[\text{HBrO}]} \]
4. **Assume Initial Concentrations and Changes:**
Let \( x \) be the concentration of \( \text{H}_3\text{O}^+ \) at equilibrium. Therefore:
- Initial concentration of \( \text{HBrO} \) = 0.15 M
- Change in \( \text{H}_3\text{O}^+ \) and \( \text{BrO}^- \) = \( +x \)
- Change in \( \text{HBrO} \) = \( -x \)
At equilibrium:
\[ [\text{H}_3\text{O}^+] = x \]
\[ [\text{BrO}^-] = x \]
\[ [\text{HBrO}] = 0.15 - x \]
5. **Apply the Initial Assumptions to the \( K_a \) Expression:**
\[ K_a = \frac{x \cdot
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