. One mole of an ideal gas expands isothermally at T = 20°C from 1.1 m³ to 2.1 m³. The gas constant is given by R=8.314 J/(mol K). (a) Calculate the work done by the gas during the isothermal expansion. W₁= -1.6-103 VI (b) Calculate the heat transfered during the expansion. Q= 1.6-103 (c) What is the change in entropy of the gas? AS, = 5.4 gas J/K (c) What is the entropy change of the thermal reservoir? AS = reservior J/K (d) What is the entropy change for the gas+reservior system? + AS system J/K Hint: For an isothermal process how is the heat transferred by an ideal gas related to work? What is the formula for work done by an ideal gas during isothermal expansion?
. One mole of an ideal gas expands isothermally at T = 20°C from 1.1 m³ to 2.1 m³. The gas constant is given by R=8.314 J/(mol K). (a) Calculate the work done by the gas during the isothermal expansion. W₁= -1.6-103 VI (b) Calculate the heat transfered during the expansion. Q= 1.6-103 (c) What is the change in entropy of the gas? AS, = 5.4 gas J/K (c) What is the entropy change of the thermal reservoir? AS = reservior J/K (d) What is the entropy change for the gas+reservior system? + AS system J/K Hint: For an isothermal process how is the heat transferred by an ideal gas related to work? What is the formula for work done by an ideal gas during isothermal expansion?
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
Related questions
Question
Qs a,c entropy, and d
![### Isothermal Expansion of an Ideal Gas
**Problem Statement:**
One mole of an ideal gas expands isothermally at \( T = 20^\circ\text{C} \) from \( 1.1 \, \text{m}^3 \) to \( 2.1 \, \text{m}^3 \). The gas constant is given by \( R = 8.314 \, \text{J/(mol K)} \).
(a) **Calculate the work done by the gas during the isothermal expansion.**
\[ W_g = -1.6 \cdot 10^3 \, \text{J} \]
(b) **Calculate the heat transferred during the expansion.**
\[ Q = 1.6 \cdot 10^3 \, \text{J} \]
(c) **What is the change in entropy of the gas?**
\[ \Delta S_{\text{gas}} = 5.4 \, \text{J/K} \]
(d) **What is the entropy change of the thermal reservoir?**
\[ \Delta S_{\text{reservoir}} = \]
(e) **What is the entropy change for the gas + reservoir system?**
\[ \Delta S_{\text{system}} = \]
**Hints:**
- For an isothermal process, how is the heat transferred by an ideal gas related to work?
- What is the formula for work done by an ideal gas during isothermal expansion?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff787f97c-9dc4-4f39-97ba-c4c8bbc1d69b%2F75b70f86-e65a-4cc0-bc40-4680705a1399%2Faln552p_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Isothermal Expansion of an Ideal Gas
**Problem Statement:**
One mole of an ideal gas expands isothermally at \( T = 20^\circ\text{C} \) from \( 1.1 \, \text{m}^3 \) to \( 2.1 \, \text{m}^3 \). The gas constant is given by \( R = 8.314 \, \text{J/(mol K)} \).
(a) **Calculate the work done by the gas during the isothermal expansion.**
\[ W_g = -1.6 \cdot 10^3 \, \text{J} \]
(b) **Calculate the heat transferred during the expansion.**
\[ Q = 1.6 \cdot 10^3 \, \text{J} \]
(c) **What is the change in entropy of the gas?**
\[ \Delta S_{\text{gas}} = 5.4 \, \text{J/K} \]
(d) **What is the entropy change of the thermal reservoir?**
\[ \Delta S_{\text{reservoir}} = \]
(e) **What is the entropy change for the gas + reservoir system?**
\[ \Delta S_{\text{system}} = \]
**Hints:**
- For an isothermal process, how is the heat transferred by an ideal gas related to work?
- What is the formula for work done by an ideal gas during isothermal expansion?
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, physics and related others by exploring similar questions and additional content below.Recommended textbooks for you
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON