A sample of an ideal gas at 1.00 atm and a volume of 1.90 L was placed in a weighted balloon and dropped into the ocean. As the sample descended, the water pressure compressed the balloon and reduced its volume. When the pressure had increased to 80.0 atm, what was the volume of the sample? Assume that the temperature was held constant. V = L
A sample of an ideal gas at 1.00 atm and a volume of 1.90 L was placed in a weighted balloon and dropped into the ocean. As the sample descended, the water pressure compressed the balloon and reduced its volume. When the pressure had increased to 80.0 atm, what was the volume of the sample? Assume that the temperature was held constant. V = L
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
![### Problem Description:
**Ideal Gas Law Application**
A sample of an ideal gas at 1.00 atm and a volume of 1.90 L was placed in a weighted balloon and dropped into the ocean. As the sample descended, the water pressure compressed the balloon and reduced its volume. When the pressure had increased to 80.0 atm, what was the volume of the sample? Assume that the temperature was held constant.
\[ V = \underline{\hspace{50px}} \, \text{L} \]
### Explanation:
This question involves using the Ideal Gas Law, specifically Boyle's Law, which states that for a given mass of gas at constant temperature, the product of the pressure and the volume is constant. This can be expressed as:
\[ P_1 \times V_1 = P_2 \times V_2 \]
Where:
- \( P_1 = 1.00 \, \text{atm} \) is the initial pressure.
- \( V_1 = 1.90 \, \text{L} \) is the initial volume.
The task is to find \( V_2 \), the volume at the final pressure \( P_2 = 80.0 \, \text{atm} \).
Substitute the known values into the equation to solve for \( V_2 \):
\[ 1.00 \, \text{atm} \times 1.90 \, \text{L} = 80.0 \, \text{atm} \times V_2 \]
By solving this equation, one can determine the final volume \( V_2 \) of the gas.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa563c0cc-a924-4c37-9f6b-c4caff62891a%2Fadb0bca0-6ea9-4b18-9640-4212c580b13b%2Foxpd46f_processed.png&w=3840&q=75)
Transcribed Image Text:### Problem Description:
**Ideal Gas Law Application**
A sample of an ideal gas at 1.00 atm and a volume of 1.90 L was placed in a weighted balloon and dropped into the ocean. As the sample descended, the water pressure compressed the balloon and reduced its volume. When the pressure had increased to 80.0 atm, what was the volume of the sample? Assume that the temperature was held constant.
\[ V = \underline{\hspace{50px}} \, \text{L} \]
### Explanation:
This question involves using the Ideal Gas Law, specifically Boyle's Law, which states that for a given mass of gas at constant temperature, the product of the pressure and the volume is constant. This can be expressed as:
\[ P_1 \times V_1 = P_2 \times V_2 \]
Where:
- \( P_1 = 1.00 \, \text{atm} \) is the initial pressure.
- \( V_1 = 1.90 \, \text{L} \) is the initial volume.
The task is to find \( V_2 \), the volume at the final pressure \( P_2 = 80.0 \, \text{atm} \).
Substitute the known values into the equation to solve for \( V_2 \):
\[ 1.00 \, \text{atm} \times 1.90 \, \text{L} = 80.0 \, \text{atm} \times V_2 \]
By solving this equation, one can determine the final volume \( V_2 \) of the gas.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
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 1 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Chemistry](https://www.bartleby.com/isbn_cover_images/9781305957404/9781305957404_smallCoverImage.gif)
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
![Chemistry](https://www.bartleby.com/isbn_cover_images/9781259911156/9781259911156_smallCoverImage.gif)
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
![Principles of Instrumental Analysis](https://www.bartleby.com/isbn_cover_images/9781305577213/9781305577213_smallCoverImage.gif)
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
![Chemistry](https://www.bartleby.com/isbn_cover_images/9781305957404/9781305957404_smallCoverImage.gif)
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
![Chemistry](https://www.bartleby.com/isbn_cover_images/9781259911156/9781259911156_smallCoverImage.gif)
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
![Principles of Instrumental Analysis](https://www.bartleby.com/isbn_cover_images/9781305577213/9781305577213_smallCoverImage.gif)
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
![Organic Chemistry](https://www.bartleby.com/isbn_cover_images/9780078021558/9780078021558_smallCoverImage.gif)
Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education
![Chemistry: Principles and Reactions](https://www.bartleby.com/isbn_cover_images/9781305079373/9781305079373_smallCoverImage.gif)
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
![Elementary Principles of Chemical Processes, Bind…](https://www.bartleby.com/isbn_cover_images/9781118431221/9781118431221_smallCoverImage.gif)
Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY