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

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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.
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.
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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