Use Boyle's law to complete the following table (assume temperature and number of moles of gas to be constant). P Vi P2 V2 2.26 L 4.38 atm 1.10 L 755 mm Hg 112 mL 704 mm Hg 2.79 atm 5.54 mL 49.2 mL 342 torr 687 torr 8.45 L
Use Boyle's law to complete the following table (assume temperature and number of moles of gas to be constant). P Vi P2 V2 2.26 L 4.38 atm 1.10 L 755 mm Hg 112 mL 704 mm Hg 2.79 atm 5.54 mL 49.2 mL 342 torr 687 torr 8.45 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...
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![### Boyle's Law Application
Use Boyle's Law to complete the following table, assuming temperature and number of moles of gas remain constant.
| \( P_1 \) | \( V_1 \) | \( P_2 \) | \( V_2 \) |
|------------|------------|------------|------------|
| — | 2.26 L | 4.38 atm | 1.10 L |
| 755 mm Hg | 112 mL | 704 mm Hg | — |
| 2.79 atm | 5.54 mL | — | 49.2 mL |
| 342 torr | — | 687 torr | 8.45 L |
### Tasks
#### Part C
**Complete the third column of the table:**
\[ P_2 = \quad \text{atm} \]
#### Part D
**Complete the fourth column of the table:**
\[ V_2 = \quad \text{mL} \]
Please input the missing pressure and volume values using the relationship:
\[ P_1 \times V_1 = P_2 \times V_2 \]
This equation demonstrates how the pressure and volume of a gas are inversely proportional when temperature and the amount of gas are held constant.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa2a8b104-43b9-4786-85b5-51d5dc6bb5cc%2Fcc02fd4f-0393-47ac-b2c0-9deb53460fc0%2Fk4916gi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Boyle's Law Application
Use Boyle's Law to complete the following table, assuming temperature and number of moles of gas remain constant.
| \( P_1 \) | \( V_1 \) | \( P_2 \) | \( V_2 \) |
|------------|------------|------------|------------|
| — | 2.26 L | 4.38 atm | 1.10 L |
| 755 mm Hg | 112 mL | 704 mm Hg | — |
| 2.79 atm | 5.54 mL | — | 49.2 mL |
| 342 torr | — | 687 torr | 8.45 L |
### Tasks
#### Part C
**Complete the third column of the table:**
\[ P_2 = \quad \text{atm} \]
#### Part D
**Complete the fourth column of the table:**
\[ V_2 = \quad \text{mL} \]
Please input the missing pressure and volume values using the relationship:
\[ P_1 \times V_1 = P_2 \times V_2 \]
This equation demonstrates how the pressure and volume of a gas are inversely proportional when temperature and the amount of gas are held constant.
![**Educational Explanation of Boyle's Law Application**
**Boyle's Law:** Boyle's Law states that for a given mass of gas at constant temperature, the volume of the gas varies inversely with its pressure. The mathematical expression of Boyle's Law is:
\[ P_1 \times V_1 = P_2 \times V_2 \]
where:
- \( P_1 \) and \( P_2 \) are the initial and final pressures.
- \( V_1 \) and \( V_2 \) are the initial and final volumes.
**Table Details:**
The table presents several series of pressure and volume values, where you need to use Boyle's Law to find missing data:
| \( P_1 \) | \( V_1 \) | \( P_2 \) | \( V_2 \) |
|----------------|------------|----------------|------------|
| 755 mm Hg | 2.26 L | 4.38 atm | 1.10 L |
| (Missing Value) | 112 mL | 704 mm Hg | (Missing Value) |
| 2.79 atm | 5.54 mL | (Missing Value) | 49.2 mL |
| 342 torr | (Missing Value) | 687 torr | 8.45 L |
**Instructions:**
- Complete the missing values by applying Boyle's Law.
- Assume temperature and number of moles of gas are constant.
**Tasks:**
**Part A:**
- Complete the first column of the table (find missing \( P_1 \)).
**Part B:**
- Complete the second column of the table (find missing \( V_1 \)).
**Graph/Diagram Explanation:**
- There are no graphs or diagrams in the image, but the table itself functions as a conceptual representation of the relationship between pressure and volume in a gas system, as dictated by Boyle's Law.
To solve for any missing value, rearrange the equation \( P_1 \times V_1 = P_2 \times V_2 \) to isolate the variable needed, then plug in the known values to find the result.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa2a8b104-43b9-4786-85b5-51d5dc6bb5cc%2Fcc02fd4f-0393-47ac-b2c0-9deb53460fc0%2Feefxul_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Educational Explanation of Boyle's Law Application**
**Boyle's Law:** Boyle's Law states that for a given mass of gas at constant temperature, the volume of the gas varies inversely with its pressure. The mathematical expression of Boyle's Law is:
\[ P_1 \times V_1 = P_2 \times V_2 \]
where:
- \( P_1 \) and \( P_2 \) are the initial and final pressures.
- \( V_1 \) and \( V_2 \) are the initial and final volumes.
**Table Details:**
The table presents several series of pressure and volume values, where you need to use Boyle's Law to find missing data:
| \( P_1 \) | \( V_1 \) | \( P_2 \) | \( V_2 \) |
|----------------|------------|----------------|------------|
| 755 mm Hg | 2.26 L | 4.38 atm | 1.10 L |
| (Missing Value) | 112 mL | 704 mm Hg | (Missing Value) |
| 2.79 atm | 5.54 mL | (Missing Value) | 49.2 mL |
| 342 torr | (Missing Value) | 687 torr | 8.45 L |
**Instructions:**
- Complete the missing values by applying Boyle's Law.
- Assume temperature and number of moles of gas are constant.
**Tasks:**
**Part A:**
- Complete the first column of the table (find missing \( P_1 \)).
**Part B:**
- Complete the second column of the table (find missing \( V_1 \)).
**Graph/Diagram Explanation:**
- There are no graphs or diagrams in the image, but the table itself functions as a conceptual representation of the relationship between pressure and volume in a gas system, as dictated by Boyle's Law.
To solve for any missing value, rearrange the equation \( P_1 \times V_1 = P_2 \times V_2 \) to isolate the variable needed, then plug in the known values to find the result.
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