5.60 L of C2He is completely combusted at 0.500 bar and 313 K according to the reaction below. During the reaction, the pressure and temperature change. In the end, 9.23 L of CO2 are produced and the total pressure of the reaction vessel is 1.56 bar. What is the final temperature of the reaction vessel? (R = 0.08314 L·bar/mol ·K) 2C2H, (g) + 7O2 (g) → 4CO2 (g) + 6H20 (g)

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
**Combustion of Ethane Under Controlled Conditions**

In this experimental setup, 5.60 L of ethane (C₂H₆) is completely combusted at an initial pressure of 0.500 bar and temperature of 313 K. The chemical reaction governing the combustion is:

\[ 2C_2H_6 (g) + 7O_2 (g) \rightarrow 4CO_2 (g) + 6H_2O (g) \]

During the reaction, both the pressure and temperature change. By the end of the reaction, 9.23 L of carbon dioxide (CO₂) is produced, and the total pressure rises to 1.56 bar. The task is to determine the final temperature of the reaction vessel.

**Parameters:**
- Initial volume of C₂H₆: 5.60 L
- Initial pressure: 0.500 bar
- Initial temperature: 313 K
- Final volume of CO₂: 9.23 L
- Final pressure: 1.56 bar
- Gas constant, R: 0.08314 L·bar/mol·K

**Objective:**
Calculate the final temperature of the reaction vessel in Kelvin.

**Procedure:**
1. Apply the ideal gas law and stoichiometry to find the final temperature.
2. Use the relevant gas constant and reaction parameters to solve for temperature.
Transcribed Image Text:**Combustion of Ethane Under Controlled Conditions** In this experimental setup, 5.60 L of ethane (C₂H₆) is completely combusted at an initial pressure of 0.500 bar and temperature of 313 K. The chemical reaction governing the combustion is: \[ 2C_2H_6 (g) + 7O_2 (g) \rightarrow 4CO_2 (g) + 6H_2O (g) \] During the reaction, both the pressure and temperature change. By the end of the reaction, 9.23 L of carbon dioxide (CO₂) is produced, and the total pressure rises to 1.56 bar. The task is to determine the final temperature of the reaction vessel. **Parameters:** - Initial volume of C₂H₆: 5.60 L - Initial pressure: 0.500 bar - Initial temperature: 313 K - Final volume of CO₂: 9.23 L - Final pressure: 1.56 bar - Gas constant, R: 0.08314 L·bar/mol·K **Objective:** Calculate the final temperature of the reaction vessel in Kelvin. **Procedure:** 1. Apply the ideal gas law and stoichiometry to find the final temperature. 2. Use the relevant gas constant and reaction parameters to solve for temperature.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Knowledge Booster
Mole Concept
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