Calculate the value of K, in the following reaction if the equilibrium concentrations are [H,S] = 0.25 M, [H,] = 0.88 M, [S,] = 0.44M. 2 H,Se = 2 Hzie) '2(g)
Calculate the value of K, in the following reaction if the equilibrium concentrations are [H,S] = 0.25 M, [H,] = 0.88 M, [S,] = 0.44M. 2 H,Se = 2 Hzie) '2(g)
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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![### Calculating the Equilibrium Constant (K_eq)
To determine the value of the equilibrium constant (\(K_{eq}\)) for the given reaction, we use the equilibrium concentrations provided.
The reaction in question is:
\[ 2 \text{H}_2\text{S}_{(g)} \rightleftharpoons 2 \text{H}_{2(g)} + \text{S}_{2(g)} \]
The equilibrium concentrations are:
- \([\text{H}_2\text{S}] = 0.25 \, \text{M}\)
- \([\text{H}_2] = 0.88 \, \text{M}\)
- \([\text{S}_2] = 0.44 \, \text{M}\)
### Steps to Calculate \(K_{eq}\)
1. **Write the expression for the equilibrium constant (\(K_{eq}\)):**
\[
K_{eq} = \frac{[\text{H}_2]^2 [\text{S}_2]}{[\text{H}_2\text{S}]^2}
\]
2. **Substitute the equilibrium concentrations into the expression:**
\[
K_{eq} = \frac{(0.88)^2 \cdot (0.44)}{(0.25)^2}
\]
3. **Perform the calculations:**
- Calculate the numerator: \((0.88)^2 \times (0.44) = 0.7744 \times 0.44 = 0.340736\)
- Calculate the denominator: \((0.25)^2 = 0.0625\)
\[
K_{eq} = \frac{0.340736}{0.0625} \approx 5.45
\]
### Result
The value of the equilibrium constant (\(K_{eq}\)) for the reaction is approximately **5.45**.
### Explanation of Diagrams and Graphs
There are no diagrams or graphs included in this content. The text focuses on presenting and solving a chemical equilibrium problem through mathematical expressions and equilibrium concentrations.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6373081f-17d9-417b-b535-bd8706276caa%2Fa63d6940-57c4-4673-9b49-993426d63a7c%2F4jpazc_processed.png&w=3840&q=75)
Transcribed Image Text:### Calculating the Equilibrium Constant (K_eq)
To determine the value of the equilibrium constant (\(K_{eq}\)) for the given reaction, we use the equilibrium concentrations provided.
The reaction in question is:
\[ 2 \text{H}_2\text{S}_{(g)} \rightleftharpoons 2 \text{H}_{2(g)} + \text{S}_{2(g)} \]
The equilibrium concentrations are:
- \([\text{H}_2\text{S}] = 0.25 \, \text{M}\)
- \([\text{H}_2] = 0.88 \, \text{M}\)
- \([\text{S}_2] = 0.44 \, \text{M}\)
### Steps to Calculate \(K_{eq}\)
1. **Write the expression for the equilibrium constant (\(K_{eq}\)):**
\[
K_{eq} = \frac{[\text{H}_2]^2 [\text{S}_2]}{[\text{H}_2\text{S}]^2}
\]
2. **Substitute the equilibrium concentrations into the expression:**
\[
K_{eq} = \frac{(0.88)^2 \cdot (0.44)}{(0.25)^2}
\]
3. **Perform the calculations:**
- Calculate the numerator: \((0.88)^2 \times (0.44) = 0.7744 \times 0.44 = 0.340736\)
- Calculate the denominator: \((0.25)^2 = 0.0625\)
\[
K_{eq} = \frac{0.340736}{0.0625} \approx 5.45
\]
### Result
The value of the equilibrium constant (\(K_{eq}\)) for the reaction is approximately **5.45**.
### Explanation of Diagrams and Graphs
There are no diagrams or graphs included in this content. The text focuses on presenting and solving a chemical equilibrium problem through mathematical expressions and equilibrium concentrations.
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