(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

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Chapter1: Chemical Foundations
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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
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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