Consider the following reaction at a high temperature. Br₂(g) 2Br(g) When 1.30 moles of Br2 are put in a 0.710-L flask, 1.90 percent of the Br2 Calculate the equilibrium constant Ke for the reaction.
Consider the following reaction at a high temperature. Br₂(g) 2Br(g) When 1.30 moles of Br2 are put in a 0.710-L flask, 1.90 percent of the Br2 Calculate the equilibrium constant Ke for the reaction.
Chemistry: The Molecular Science
5th Edition
ISBN:9781285199047
Author:John W. Moore, Conrad L. Stanitski
Publisher:John W. Moore, Conrad L. Stanitski
Chapter12: Chemical Equilibrium
Section: Chapter Questions
Problem 92QRT
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Question
![**Equilibrium Constant Calculation for Bromine Gas Dissociation**
**Problem Statement:**
Consider the following reaction at a high temperature:
\[ \text{Br}_2(g) \rightleftharpoons 2\text{Br}(g) \]
When 1.30 moles of \(\text{Br}_2\) are put in a 0.710-L flask, 1.90 percent of the \(\text{Br}_2\) undergoes dissociation. Calculate the equilibrium constant \(K_c\) for the reaction.
**Calculation Steps:**
1. **Initial Concentration:**
\[
[\text{Br}_2]_{\text{initial}} = \frac{1.30 \text{ moles}}{0.710 \text{ L}} = 1.83 \text{ M}
\]
2. **Dissociation Details:**
1.90% of \(\text{Br}_2\) dissociates:
\[
\text{Moles of } \text{Br}_2 \text{dissociated} = 1.30 \text{ moles} \times 0.019 = 0.0247 \text{ moles}
\]
\[
\text{Concentration of } \text{Br}_2 \text{dissociated} = \frac{0.0247 \text{ moles}}{0.710 \text{ L}} = 0.0348 \text{ M}
\]
3. **Change in Concentration:**
For every mole of \(\text{Br}_2\) that dissociates, 2 moles of \(\text{Br}\) are produced:
\[
[\text{Br}] = 2 \times 0.0348 \text{ M} = 0.0696 \text{ M}
\]
\[
[\text{Br}_2]_{\text{equilibrium}} = [\text{Br}_2]_{\text{initial}} - [\text{Br}_2 \text{dissociated}] = 1.83 \text{ M} - 0.0348 \text{ M} = 1.80 \text{ M}
\]
4. **Equilibrium](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbdadc505-3c89-4141-8858-87a4ddd57c30%2Fd8036fce-63a0-4478-a64b-238ed4de047f%2F7krl0rt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Equilibrium Constant Calculation for Bromine Gas Dissociation**
**Problem Statement:**
Consider the following reaction at a high temperature:
\[ \text{Br}_2(g) \rightleftharpoons 2\text{Br}(g) \]
When 1.30 moles of \(\text{Br}_2\) are put in a 0.710-L flask, 1.90 percent of the \(\text{Br}_2\) undergoes dissociation. Calculate the equilibrium constant \(K_c\) for the reaction.
**Calculation Steps:**
1. **Initial Concentration:**
\[
[\text{Br}_2]_{\text{initial}} = \frac{1.30 \text{ moles}}{0.710 \text{ L}} = 1.83 \text{ M}
\]
2. **Dissociation Details:**
1.90% of \(\text{Br}_2\) dissociates:
\[
\text{Moles of } \text{Br}_2 \text{dissociated} = 1.30 \text{ moles} \times 0.019 = 0.0247 \text{ moles}
\]
\[
\text{Concentration of } \text{Br}_2 \text{dissociated} = \frac{0.0247 \text{ moles}}{0.710 \text{ L}} = 0.0348 \text{ M}
\]
3. **Change in Concentration:**
For every mole of \(\text{Br}_2\) that dissociates, 2 moles of \(\text{Br}\) are produced:
\[
[\text{Br}] = 2 \times 0.0348 \text{ M} = 0.0696 \text{ M}
\]
\[
[\text{Br}_2]_{\text{equilibrium}} = [\text{Br}_2]_{\text{initial}} - [\text{Br}_2 \text{dissociated}] = 1.83 \text{ M} - 0.0348 \text{ M} = 1.80 \text{ M}
\]
4. **Equilibrium
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