At a certain temperature, the K, for the decomposition of H,S is 0.873. H,S(g) = H,(g)+S(g) Initially, only H,S is present at a pressure of 0.118 bar in a closed container. What is the total pressure in the container at equilibrium? bar Protal =
At a certain temperature, the K, for the decomposition of H,S is 0.873. H,S(g) = H,(g)+S(g) Initially, only H,S is present at a pressure of 0.118 bar in a closed container. What is the total pressure in the container at equilibrium? bar Protal =
Chemistry
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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
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![Certainly! Here is the transcription for an Educational website:
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### Equilibrium Calculation for Decomposition of H₂S
At a certain temperature, the equilibrium constant \( K_p \) for the decomposition of hydrogen sulfide (H₂S) is 0.873.
\[ H_2S(g) \rightleftharpoons H_2(g) + S(g) \]
Initially, only H₂S is present at a pressure of 0.118 bar in a closed container. What is the total pressure in the container at equilibrium?
**Equilibrium Calculation:**
\[ P_{total} = \] _______ bar
---
Explanation:
1. **Chemical Equation:** The reaction involves the decomposition of hydrogen sulfide gas (H₂S) into hydrogen gas (H₂) and sulfur gas (S). This process is reversible and reaches equilibrium.
2. **Given Value:** The equilibrium constant \( K_p \) for this reaction is provided as 0.873.
3. **Initial Condition:** The initial pressure of H₂S in the container is 0.118 bar.
4. **Objective:** Determine the total pressure in the container once the system reaches equilibrium.
The linear equation implies that as H₂S decomposes, the partial pressures of the products (H₂ and S) and reactant (H₂S) will adjust until the equilibrium constant expression is satisfied. Use the initial pressure and the equilibrium constant to solve for the equilibrium pressures and subsequently the total pressure.
### Step-by-Step Approach:
1. **Write the expression for \( K_p \):**
\[ K_p = \frac{P_{H_2} \cdot P_S}{P_{H_2S}} \]
2. **Assign variables** for changes in partial pressures at equilibrium:
Let the change in pressure of H₂S be \( -x \) bar (it decreases as it decomposes), then the pressures of H₂ and S will both be \( +x \) bar (they increase as they are produced).
3. **Set up the equilibrium pressures:**
\[ P_{H_2S} = 0.118 - x \]
\[ P_{H_2} = x \]
\[ P_S = x \]
4. **Substitute these expressions into the \( K_p \) equation:**
\[ 0.873 = \frac{x \cdot x}{0.118 - x} \]
5. **](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F96b52401-77ae-42e3-bef0-cdd66c230602%2F69944505-6992-40ba-a164-673beaa08d3c%2F704peyb_processed.png&w=3840&q=75)
Transcribed Image Text:Certainly! Here is the transcription for an Educational website:
---
### Equilibrium Calculation for Decomposition of H₂S
At a certain temperature, the equilibrium constant \( K_p \) for the decomposition of hydrogen sulfide (H₂S) is 0.873.
\[ H_2S(g) \rightleftharpoons H_2(g) + S(g) \]
Initially, only H₂S is present at a pressure of 0.118 bar in a closed container. What is the total pressure in the container at equilibrium?
**Equilibrium Calculation:**
\[ P_{total} = \] _______ bar
---
Explanation:
1. **Chemical Equation:** The reaction involves the decomposition of hydrogen sulfide gas (H₂S) into hydrogen gas (H₂) and sulfur gas (S). This process is reversible and reaches equilibrium.
2. **Given Value:** The equilibrium constant \( K_p \) for this reaction is provided as 0.873.
3. **Initial Condition:** The initial pressure of H₂S in the container is 0.118 bar.
4. **Objective:** Determine the total pressure in the container once the system reaches equilibrium.
The linear equation implies that as H₂S decomposes, the partial pressures of the products (H₂ and S) and reactant (H₂S) will adjust until the equilibrium constant expression is satisfied. Use the initial pressure and the equilibrium constant to solve for the equilibrium pressures and subsequently the total pressure.
### Step-by-Step Approach:
1. **Write the expression for \( K_p \):**
\[ K_p = \frac{P_{H_2} \cdot P_S}{P_{H_2S}} \]
2. **Assign variables** for changes in partial pressures at equilibrium:
Let the change in pressure of H₂S be \( -x \) bar (it decreases as it decomposes), then the pressures of H₂ and S will both be \( +x \) bar (they increase as they are produced).
3. **Set up the equilibrium pressures:**
\[ P_{H_2S} = 0.118 - x \]
\[ P_{H_2} = x \]
\[ P_S = x \]
4. **Substitute these expressions into the \( K_p \) equation:**
\[ 0.873 = \frac{x \cdot x}{0.118 - x} \]
5. **
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