At a certain temperature, 0.920 mol SO3 is placed in a 4.50 L container. 2 SO3(g) 2 SO₂(g) + O₂(g) At equilibrium, 0.140 mol O₂ is present. Calculate K.
At a certain temperature, 0.920 mol SO3 is placed in a 4.50 L container. 2 SO3(g) 2 SO₂(g) + O₂(g) At equilibrium, 0.140 mol O₂ is present. Calculate 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
100%
At a certain temperature, 0.920 mol SO3 is placed in a 4.50 L container.
2SO3(g) ↽−−⇀ 2SO2(g) + O2(g)
At equilibrium, 0.140 mol O2 is present. Calculate ?c.
Can you please show your work so I can understand where I am going wrong? Thank you!
![### Chemistry Equilibrium Problem Explanation
**Problem Statement**
At a certain temperature, 0.920 moles of sulfur trioxide (\(SO_3\)) is placed in a 4.50 L container.
**Reaction:**
\[ 2SO_3(g) \rightleftharpoons 2SO_2(g) + O_2(g) \]
At equilibrium, 0.140 moles of oxygen (\(O_2\)) is present. Calculate the equilibrium constant \(K_c\).
**Steps to Solve:**
1. **Initial Concentration Calculation:**
- Calculate the initial concentration of \(SO_3\).
- \[ \text{Initial Concentration of } SO_3 = \frac{0.920 \, \text{mol}}{4.50 \, \text{L}} = 0.2044 \, \text{M} \]
2. **Change in Concentration:**
- Let the change in concentration of \(SO_3\) be \( -2x \) since 2 moles of \(SO_3\) produce 2 moles of \(SO_2\) and 1 mole of \(O_2\).
- At equilibrium, \(O_2\) concentration is given as 0.140 M, so \( x = 0.140 \, \text{M} \).
3. **Equilibrium Concentrations:**
- \( SO_3 \) = Initial concentration - \( 2x \)
- \[ [SO_3] = 0.2044 - 2(0.140) = 0.2044 - 0.280 \]
- \[ [SO_3] = -0.0756 \, \text{M} \rightarrow (\text{Not possible, needs re-evaluation}) \]
4. **Check Stoichiometric Ratios and Correct:**
Correct equilibrium calculations should reflect accurately (likely an error in re-checking the coefficient considerations):
- \( SO_3 \) = Initial concentration - \( x \)
- \[ [SO_3] = 0.2044 - x \]
- Using \( x = 0.140 \):
- \[ [SO_3] = 0.2044 - 0.140 = 0.0644 \,](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F85650e2f-17ad-4aa4-9d56-acd675fbc675%2F6abccad7-7ab5-4cf2-9a29-6f29c55b1b57%2F4abnv1p_processed.png&w=3840&q=75)
Transcribed Image Text:### Chemistry Equilibrium Problem Explanation
**Problem Statement**
At a certain temperature, 0.920 moles of sulfur trioxide (\(SO_3\)) is placed in a 4.50 L container.
**Reaction:**
\[ 2SO_3(g) \rightleftharpoons 2SO_2(g) + O_2(g) \]
At equilibrium, 0.140 moles of oxygen (\(O_2\)) is present. Calculate the equilibrium constant \(K_c\).
**Steps to Solve:**
1. **Initial Concentration Calculation:**
- Calculate the initial concentration of \(SO_3\).
- \[ \text{Initial Concentration of } SO_3 = \frac{0.920 \, \text{mol}}{4.50 \, \text{L}} = 0.2044 \, \text{M} \]
2. **Change in Concentration:**
- Let the change in concentration of \(SO_3\) be \( -2x \) since 2 moles of \(SO_3\) produce 2 moles of \(SO_2\) and 1 mole of \(O_2\).
- At equilibrium, \(O_2\) concentration is given as 0.140 M, so \( x = 0.140 \, \text{M} \).
3. **Equilibrium Concentrations:**
- \( SO_3 \) = Initial concentration - \( 2x \)
- \[ [SO_3] = 0.2044 - 2(0.140) = 0.2044 - 0.280 \]
- \[ [SO_3] = -0.0756 \, \text{M} \rightarrow (\text{Not possible, needs re-evaluation}) \]
4. **Check Stoichiometric Ratios and Correct:**
Correct equilibrium calculations should reflect accurately (likely an error in re-checking the coefficient considerations):
- \( SO_3 \) = Initial concentration - \( x \)
- \[ [SO_3] = 0.2044 - x \]
- Using \( x = 0.140 \):
- \[ [SO_3] = 0.2044 - 0.140 = 0.0644 \,
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 4 steps with 3 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