At a certain temperature, 0.312 mol CH, and 0.728 mol H, S are placed in a 2.00 L container. CH(g) + 2 H, S(g) = CS,(g) + 4 H, (g) At equilibrium, 7.92 g CS, is present. Calculate K.. K. = 0.11 Incorrect
At a certain temperature, 0.312 mol CH, and 0.728 mol H, S are placed in a 2.00 L container. CH(g) + 2 H, S(g) = CS,(g) + 4 H, (g) At equilibrium, 7.92 g CS, is present. Calculate K.. K. = 0.11 Incorrect
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
![### Chemical Equilibrium Calculation
At a certain temperature, 0.312 mol of CH₄ and 0.728 mol of H₂S are placed in a 2.00 L container.
The chemical reaction is:
\[ \text{CH}_4(\text{g}) + 2\text{H}_2\text{S}(\text{g}) \rightleftharpoons \text{CS}_2(\text{g}) + 4\text{H}_2(\text{g}) \]
At equilibrium, 7.92 g of CS₂ is present. Calculate \( K_c \).
To begin, we need to convert the mass of CS₂ to moles:
\[ \text{Moles of } \text{CS}_2 = \frac{7.92 \text{ g}}{\text{Molar Mass of } \text{CS}_2} \]
The molar mass of CS₂ is:
\[ \text{Molar Mass of } \text{CS}_2 = 12.01 \text{ (Carbon)} + 2 \times 32.07 \text{ (Sulfur)} = 76.15 \text{ g/mol} \]
So, the moles of CS₂ are:
\[ \frac{7.92 \text{ g}}{76.15 \text{ g/mol}} \approx 0.104 \text{ mol} \]
Next, let's set up an I.C.E. (Initial, Change, Equilibrium) table:
| | CH₄ (g) | H₂S (g) | CS₂ (g) | H₂ (g) |
|---------------|-----------|-----------|-----------|-----------|
| Initial (mol) | 0.312 | 0.728 | 0 | 0 |
| Change (mol) | -x | -2x | +x | +4x |
| Equilibrium | 0.312 - x | 0.728 - 2x| x | 4x |
From above, we have the equilibrium concentration of CS₂:
\[ x = 0.104 \text{ mol} \]
Using the change \( x \), we find:
\[ \text{Equilibrium concentration of CH}_4 = 0.312 - 0.104 =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbd6e2cac-a13e-4af0-8d42-5fb7a66b94d3%2F49a8bc43-ee19-4aa0-ba76-dfd72f159390%2F8k94eqk_processed.png&w=3840&q=75)
Transcribed Image Text:### Chemical Equilibrium Calculation
At a certain temperature, 0.312 mol of CH₄ and 0.728 mol of H₂S are placed in a 2.00 L container.
The chemical reaction is:
\[ \text{CH}_4(\text{g}) + 2\text{H}_2\text{S}(\text{g}) \rightleftharpoons \text{CS}_2(\text{g}) + 4\text{H}_2(\text{g}) \]
At equilibrium, 7.92 g of CS₂ is present. Calculate \( K_c \).
To begin, we need to convert the mass of CS₂ to moles:
\[ \text{Moles of } \text{CS}_2 = \frac{7.92 \text{ g}}{\text{Molar Mass of } \text{CS}_2} \]
The molar mass of CS₂ is:
\[ \text{Molar Mass of } \text{CS}_2 = 12.01 \text{ (Carbon)} + 2 \times 32.07 \text{ (Sulfur)} = 76.15 \text{ g/mol} \]
So, the moles of CS₂ are:
\[ \frac{7.92 \text{ g}}{76.15 \text{ g/mol}} \approx 0.104 \text{ mol} \]
Next, let's set up an I.C.E. (Initial, Change, Equilibrium) table:
| | CH₄ (g) | H₂S (g) | CS₂ (g) | H₂ (g) |
|---------------|-----------|-----------|-----------|-----------|
| Initial (mol) | 0.312 | 0.728 | 0 | 0 |
| Change (mol) | -x | -2x | +x | +4x |
| Equilibrium | 0.312 - x | 0.728 - 2x| x | 4x |
From above, we have the equilibrium concentration of CS₂:
\[ x = 0.104 \text{ mol} \]
Using the change \( x \), we find:
\[ \text{Equilibrium concentration of CH}_4 = 0.312 - 0.104 =
Expert Solution

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