(6.3)The volume of a gas is 0.953 L at 30.0 °C. If the gas is heated to 60.0 °C, what would be the volume of the gas (in L) at this temperature? O 1.05 L O 0.867 L O 1.91 L O 0.477 L
(6.3)The volume of a gas is 0.953 L at 30.0 °C. If the gas is heated to 60.0 °C, what would be the volume of the gas (in L) at this temperature? O 1.05 L O 0.867 L O 1.91 L O 0.477 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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![### Problem Statement
**Question (6.3):** The volume of a gas is 0.953 L at 30.0°C. If the gas is heated to 60.0°C, what would be the volume of the gas (in L) at this temperature?
### Answer Choices
- 1.05 L
- 0.867 L
- 1.91 L
- 0.477 L
### Explanation
To solve this problem, one must apply the principles of Charles's Law, which states that at constant pressure, the volume (V) of a gas is directly proportional to its temperature (T) in Kelvin. The formula is given by:
\[ \frac{V_1}{T_1} = \frac{V_2}{T_2} \]
Where:
- \( V_1 \) is the initial volume (0.953 L)
- \( T_1 \) is the initial temperature in Kelvin (30.0°C = 303.15 K)
- \( V_2 \) is the final volume (unknown)
- \( T_2 \) is the final temperature in Kelvin (60.0°C = 333.15 K)
**Step-by-Step Calculation:**
1. Convert both temperatures from Celsius to Kelvin:
\[ T_1 = 30.0°C + 273.15 = 303.15 K \]
\[ T_2 = 60.0°C + 273.15 = 333.15 K \]
2. Use Charles's Law to find the unknown volume \( V_2 \):
\[ \frac{0.953 \, \text{L}}{303.15 \, \text{K}} = \frac{V_2}{333.15 \, \text{K}} \]
3. Rearrange to solve for \( V_2 \):
\[ V_2 = \frac{0.953 \, \text{L} \times 333.15 \, \text{K}}{303.15 \, \text{K}} \]
4. Calculate:
\[ V_2 = \frac{317.50 \, \text{L K}}{303.15 \, \text{K}} \approx 1.05 \, \text{L} \]
### Conclusion
The correct answer is **1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa6aa13af-b0b4-4b84-a222-8b6a152716db%2F9a401d01-89f6-481c-8285-d8cb0fa788cb%2Ftxedp2_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Problem Statement
**Question (6.3):** The volume of a gas is 0.953 L at 30.0°C. If the gas is heated to 60.0°C, what would be the volume of the gas (in L) at this temperature?
### Answer Choices
- 1.05 L
- 0.867 L
- 1.91 L
- 0.477 L
### Explanation
To solve this problem, one must apply the principles of Charles's Law, which states that at constant pressure, the volume (V) of a gas is directly proportional to its temperature (T) in Kelvin. The formula is given by:
\[ \frac{V_1}{T_1} = \frac{V_2}{T_2} \]
Where:
- \( V_1 \) is the initial volume (0.953 L)
- \( T_1 \) is the initial temperature in Kelvin (30.0°C = 303.15 K)
- \( V_2 \) is the final volume (unknown)
- \( T_2 \) is the final temperature in Kelvin (60.0°C = 333.15 K)
**Step-by-Step Calculation:**
1. Convert both temperatures from Celsius to Kelvin:
\[ T_1 = 30.0°C + 273.15 = 303.15 K \]
\[ T_2 = 60.0°C + 273.15 = 333.15 K \]
2. Use Charles's Law to find the unknown volume \( V_2 \):
\[ \frac{0.953 \, \text{L}}{303.15 \, \text{K}} = \frac{V_2}{333.15 \, \text{K}} \]
3. Rearrange to solve for \( V_2 \):
\[ V_2 = \frac{0.953 \, \text{L} \times 333.15 \, \text{K}}{303.15 \, \text{K}} \]
4. Calculate:
\[ V_2 = \frac{317.50 \, \text{L K}}{303.15 \, \text{K}} \approx 1.05 \, \text{L} \]
### Conclusion
The correct answer is **1
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