A mixture of 0.506 M H,0, 0.466 M C1,0, and 0.689 M HCIO are enclosed in a vessel at 25 °C. H,O(g) + Cl,0(g) = 2 HOCI(g) K. = 0.0900 at 25°C Calculate the equilibrium concentrations of each gas at 25 °C.

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...
icon
Related questions
Question
### Chemical Equilibrium Calculation

#### Problem Statement:
A mixture of 0.506 M H₂O, 0.466 M Cl₂O, and 0.689 M HClO are enclosed in a vessel at 25°C.

#### Chemical Reaction:
\[ \text{H}_2\text{O(g)} + \text{Cl}_2\text{O(g)} \rightleftharpoons 2\text{HOCl(g)} \]

The equilibrium constant (\(K_c\)) for the reaction at 25°C is 0.0900.

#### Task:
Calculate the equilibrium concentrations of each gas at 25°C.

### Explanation:
- **Initial Concentrations:**
  - \([ \text{H}_2\text{O} ] = 0.506 \, \text{M}\)
  - \([ \text{Cl}_2\text{O} ] = 0.466 \, \text{M}\)
  - \([ \text{HClO} ] = 0.689 \, \text{M}\)

- **Equilibrium Expression:**
  \[ K_c = \frac{ [\text{HOCl(g)}]^2 }{ [\text{H}_2\text{O(g)}] [\text{Cl}_2\text{O(g)}] } \]

Given \(K_c = 0.0900\), we need to solve for the equilibrium concentrations of H₂O, Cl₂O, and HOCl.

The solution of these equations will give the equilibrium concentrations. Because specific steps for solving such equilibrium problems often involve setting up ICE tables (Initial, Change, Equilibrium concentrations) and possibly solving a quadratic equation, the educational website can provide a detailed step-by-step approach to solving equilibrium concentration problems using these methods.

This example emphasizes understanding equilibrium constants, constructing ICE tables, and applying algebraic methods to solve chemical equilibrium problems.
Transcribed Image Text:### Chemical Equilibrium Calculation #### Problem Statement: A mixture of 0.506 M H₂O, 0.466 M Cl₂O, and 0.689 M HClO are enclosed in a vessel at 25°C. #### Chemical Reaction: \[ \text{H}_2\text{O(g)} + \text{Cl}_2\text{O(g)} \rightleftharpoons 2\text{HOCl(g)} \] The equilibrium constant (\(K_c\)) for the reaction at 25°C is 0.0900. #### Task: Calculate the equilibrium concentrations of each gas at 25°C. ### Explanation: - **Initial Concentrations:** - \([ \text{H}_2\text{O} ] = 0.506 \, \text{M}\) - \([ \text{Cl}_2\text{O} ] = 0.466 \, \text{M}\) - \([ \text{HClO} ] = 0.689 \, \text{M}\) - **Equilibrium Expression:** \[ K_c = \frac{ [\text{HOCl(g)}]^2 }{ [\text{H}_2\text{O(g)}] [\text{Cl}_2\text{O(g)}] } \] Given \(K_c = 0.0900\), we need to solve for the equilibrium concentrations of H₂O, Cl₂O, and HOCl. The solution of these equations will give the equilibrium concentrations. Because specific steps for solving such equilibrium problems often involve setting up ICE tables (Initial, Change, Equilibrium concentrations) and possibly solving a quadratic equation, the educational website can provide a detailed step-by-step approach to solving equilibrium concentration problems using these methods. This example emphasizes understanding equilibrium constants, constructing ICE tables, and applying algebraic methods to solve chemical equilibrium problems.
### Chemical Concentrations Input Form

This section of the website allows you to input the concentrations of various chemical species involved in a particular reaction or process. Please input the concentrations in molarity (M) as indicated.

1. **Water Concentration ([H₂O])**
   - Input Field: \_\_\_\_\_\_\_\_\_\_\_\_
   - Unit of Measurement: M (Molarity)
   
2. **Chlorine Dioxide Concentration ([Cl₂O])**
   - Input Field: \_\_\_\_\_\_\_\_\_\_\_\_
   - Unit of Measurement: M (Molarity)
   
3. **Hypochlorous Acid Concentration ([HOCl])**
   - Input Field: \_\_\_\_\_\_\_\_\_\_\_\_
   - Unit of Measurement: M (Molarity)

Please ensure that the values entered are in the correct format and represent accurate concentrations for the best results in your calculations or analyses.
Transcribed Image Text:### Chemical Concentrations Input Form This section of the website allows you to input the concentrations of various chemical species involved in a particular reaction or process. Please input the concentrations in molarity (M) as indicated. 1. **Water Concentration ([H₂O])** - Input Field: \_\_\_\_\_\_\_\_\_\_\_\_ - Unit of Measurement: M (Molarity) 2. **Chlorine Dioxide Concentration ([Cl₂O])** - Input Field: \_\_\_\_\_\_\_\_\_\_\_\_ - Unit of Measurement: M (Molarity) 3. **Hypochlorous Acid Concentration ([HOCl])** - Input Field: \_\_\_\_\_\_\_\_\_\_\_\_ - Unit of Measurement: M (Molarity) Please ensure that the values entered are in the correct format and represent accurate concentrations for the best results in your calculations or analyses.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Chemical Equilibrium
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Chemistry
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Organic Chemistry
Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education
Chemistry: Principles and Reactions
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY