A student ran the following reaction in the laboratory at 586 K: CO(g) + Cl2(g) COCI,(g) When she introduced 0.376 moles of CO(g) and 0.406 moles of Cl½(g) into a 1.00 liter container, she found the equilibrium concentration of COCI,(g) to be 0.337 М. Calculate the equilibrium constant, K, she obtained for this reaction. K =
A student ran the following reaction in the laboratory at 586 K: CO(g) + Cl2(g) COCI,(g) When she introduced 0.376 moles of CO(g) and 0.406 moles of Cl½(g) into a 1.00 liter container, she found the equilibrium concentration of COCI,(g) to be 0.337 М. Calculate the equilibrium constant, K, she obtained for this reaction. K =
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...
Related questions
Question
![### Reaction Equilibrium Calculation at 586 K
A student conducted an experiment to study the following reaction at a temperature of 586 K:
\[ \text{CO(g)} + \text{Cl}_2\text{(g)} \rightleftharpoons \text{COCl}_2\text{(g)} \]
#### Initial Conditions
- **Moles of CO(g)**: 0.376 moles
- **Moles of Cl₂(g)**: 0.406 moles
- **Volume of container**: 1.00 liter
#### Observed Equilibrium Condition
- **Equilibrium concentration of COCl₂(g)**: 0.337 M
#### Calculation of Equilibrium Constant \( K_c \)
To find the equilibrium constant \( K_c \), we need to set up the reaction table and expressions for equilibrium concentrations and then apply the equilibrium constant formula.
1. **Initial Concentrations (in Moles per Liter):**
- \([ \text{CO} ]_0 = \frac{0.376 \text{ moles}}{1.00 \text{ L}} = 0.376 \text{ M}\)
- \([ \text{Cl}_2 ]_0 = \frac{0.406 \text{ moles}}{1.00 \text{ L}} = 0.406 \text{ M}\)
2. **Determination of Changes:**
- At equilibrium, \[\text{COCl}_2 \text{(g)} = 0.337 \text{ M}\]
- Assuming \(x\) moles of CO and \(x\) moles of Cl₂ react to form 0.337 M of the product, then:
- \([ \text{CO} ] = 0.376\text{ M} - x\]
- \([ \text{Cl}_2 ] = 0.406\text{ M} - x\]
- \([ \text{COCl}_2 ] = 0.337 \text{ M}\)
- Since \(x = 0.337 \text{ M}\), the remaining concentrations are:
- \([ \text{CO} ] = 0.376\text{ M} - 0.337\text{ M} = 0.039 \text{ M}\)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9cce6311-c94c-4650-90f7-705d2febbb40%2F2cb25026-10f7-44f6-b25e-3da682a00a37%2Foiqlsx_processed.png&w=3840&q=75)
Transcribed Image Text:### Reaction Equilibrium Calculation at 586 K
A student conducted an experiment to study the following reaction at a temperature of 586 K:
\[ \text{CO(g)} + \text{Cl}_2\text{(g)} \rightleftharpoons \text{COCl}_2\text{(g)} \]
#### Initial Conditions
- **Moles of CO(g)**: 0.376 moles
- **Moles of Cl₂(g)**: 0.406 moles
- **Volume of container**: 1.00 liter
#### Observed Equilibrium Condition
- **Equilibrium concentration of COCl₂(g)**: 0.337 M
#### Calculation of Equilibrium Constant \( K_c \)
To find the equilibrium constant \( K_c \), we need to set up the reaction table and expressions for equilibrium concentrations and then apply the equilibrium constant formula.
1. **Initial Concentrations (in Moles per Liter):**
- \([ \text{CO} ]_0 = \frac{0.376 \text{ moles}}{1.00 \text{ L}} = 0.376 \text{ M}\)
- \([ \text{Cl}_2 ]_0 = \frac{0.406 \text{ moles}}{1.00 \text{ L}} = 0.406 \text{ M}\)
2. **Determination of Changes:**
- At equilibrium, \[\text{COCl}_2 \text{(g)} = 0.337 \text{ M}\]
- Assuming \(x\) moles of CO and \(x\) moles of Cl₂ react to form 0.337 M of the product, then:
- \([ \text{CO} ] = 0.376\text{ M} - x\]
- \([ \text{Cl}_2 ] = 0.406\text{ M} - x\]
- \([ \text{COCl}_2 ] = 0.337 \text{ M}\)
- Since \(x = 0.337 \text{ M}\), the remaining concentrations are:
- \([ \text{CO} ] = 0.376\text{ M} - 0.337\text{ M} = 0.039 \text{ M}\)
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 1 images

Knowledge Booster
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.Recommended textbooks for you

Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning

Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education

Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning

Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning

Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education

Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning

Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education

Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning

Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY