If a system has 20.5 J of heat added to it, and the system does 75.5 J of work on its surroundings, what is the change in the internal energy of the system, in J?
If a system has 20.5 J of heat added to it, and the system does 75.5 J of work on its surroundings, what is the change in the internal energy of the system, in J?
General Chemistry - Standalone book (MindTap Course List)
11th Edition
ISBN:9781305580343
Author:Steven D. Gammon, Ebbing, Darrell Ebbing, Steven D., Darrell; Gammon, Darrell Ebbing; Steven D. Gammon, Darrell D.; Gammon, Ebbing; Steven D. Gammon; Darrell
Publisher:Steven D. Gammon, Ebbing, Darrell Ebbing, Steven D., Darrell; Gammon, Darrell Ebbing; Steven D. Gammon, Darrell D.; Gammon, Ebbing; Steven D. Gammon; Darrell
Chapter6: Thermochemisty
Section: Chapter Questions
Problem 6.132QP
Related questions
Question
![### Thermodynamics and Internal Energy
#### Problem Statement:
If a system has 20.5 J of heat added to it, and the system does 75.5 J of work on its surroundings, what is the change in the internal energy of the system, in J?
#### Explanation:
In thermodynamics, the change in the internal energy of a system can be determined using the First Law of Thermodynamics, which is stated as:
\[
\Delta U = Q - W
\]
where:
- \(\Delta U\) is the change in internal energy
- \(Q\) is the heat added to the system
- \(W\) is the work done by the system on its surroundings
Given:
- Heat added (\(Q\)) = 20.5 J
- Work done by the system (\(W\)) = 75.5 J
#### Solution:
Substitute the given values into the equation:
\[
\Delta U = 20.5 \, \text{J} - 75.5 \, \text{J} = -55 \, \text{J}
\]
#### Conclusion:
The change in the internal energy of the system is \(-55 \, \text{J}\). This means that the internal energy of the system decreases by 55 Joules.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdd588ef3-9b5a-418e-afb9-a9c936bcb253%2Fd20980fc-b465-417c-99af-25e8d23c7da9%2Fpnrh4v6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Thermodynamics and Internal Energy
#### Problem Statement:
If a system has 20.5 J of heat added to it, and the system does 75.5 J of work on its surroundings, what is the change in the internal energy of the system, in J?
#### Explanation:
In thermodynamics, the change in the internal energy of a system can be determined using the First Law of Thermodynamics, which is stated as:
\[
\Delta U = Q - W
\]
where:
- \(\Delta U\) is the change in internal energy
- \(Q\) is the heat added to the system
- \(W\) is the work done by the system on its surroundings
Given:
- Heat added (\(Q\)) = 20.5 J
- Work done by the system (\(W\)) = 75.5 J
#### Solution:
Substitute the given values into the equation:
\[
\Delta U = 20.5 \, \text{J} - 75.5 \, \text{J} = -55 \, \text{J}
\]
#### Conclusion:
The change in the internal energy of the system is \(-55 \, \text{J}\). This means that the internal energy of the system decreases by 55 Joules.
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
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
General Chemistry - Standalone book (MindTap Cour…
Chemistry
ISBN:
9781305580343
Author:
Steven D. Gammon, Ebbing, Darrell Ebbing, Steven D., Darrell; Gammon, Darrell Ebbing; Steven D. Gammon, Darrell D.; Gammon, Ebbing; Steven D. Gammon; Darrell
Publisher:
Cengage Learning
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry: An Atoms First Approach
Chemistry
ISBN:
9781305079243
Author:
Steven S. Zumdahl, Susan A. Zumdahl
Publisher:
Cengage Learning
General Chemistry - Standalone book (MindTap Cour…
Chemistry
ISBN:
9781305580343
Author:
Steven D. Gammon, Ebbing, Darrell Ebbing, Steven D., Darrell; Gammon, Darrell Ebbing; Steven D. Gammon, Darrell D.; Gammon, Ebbing; Steven D. Gammon; Darrell
Publisher:
Cengage Learning
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry: An Atoms First Approach
Chemistry
ISBN:
9781305079243
Author:
Steven S. Zumdahl, Susan A. Zumdahl
Publisher:
Cengage Learning
Chemistry for Engineering Students
Chemistry
ISBN:
9781337398909
Author:
Lawrence S. Brown, Tom Holme
Publisher:
Cengage Learning
Chemistry: The Molecular Science
Chemistry
ISBN:
9781285199047
Author:
John W. Moore, Conrad L. Stanitski
Publisher:
Cengage Learning