According to Model 2, do all of the gas particles in a sample move at the same speed for a given temperature? Justify your answer with evidence from Model 1. According to Model 2, approximately how many gas particles in the sample are traveling 200 meters per second? a. at 300 K? b. at 600 K? c. at 1000 K? According to Model 2, approximately how many gas particles in the sample are traveling 400 meters per second? a. at 300 K? b. at 600 K? c. at 1000 K?

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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Chapter1: Chemical Foundations
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**Text from Educational Website:**

---

**Gas Particle Speed and Temperature Analysis**

**Analysis and Questions:**

1. **Uniform Speed Among Gas Particles:**
   - According to Model 2, do all gas particles in a sample move at the same speed for a given temperature? Justify your answer with evidence from Model 1.

2. **Speed Distribution at Different Temperatures:**
   - According to Model 2, approximately how many gas particles in the sample are traveling at 200 meters per second?
     - a. at 300 K?
     - b. at 600 K?
     - c. at 1000 K?

3. **Higher Speed Analysis at Varying Temperatures:**
   - According to Model 2, approximately how many gas particles in the sample are traveling at 400 meters per second?
     - a. at 300 K?
     - b. at 600 K?
     - c. at 1000 K?

---

*Note: This section provides questions to encourage the exploration of how temperature affects the movement of gas particles, using Models 1 and 2 for reference.*
Transcribed Image Text:**Text from Educational Website:** --- **Gas Particle Speed and Temperature Analysis** **Analysis and Questions:** 1. **Uniform Speed Among Gas Particles:** - According to Model 2, do all gas particles in a sample move at the same speed for a given temperature? Justify your answer with evidence from Model 1. 2. **Speed Distribution at Different Temperatures:** - According to Model 2, approximately how many gas particles in the sample are traveling at 200 meters per second? - a. at 300 K? - b. at 600 K? - c. at 1000 K? 3. **Higher Speed Analysis at Varying Temperatures:** - According to Model 2, approximately how many gas particles in the sample are traveling at 400 meters per second? - a. at 300 K? - b. at 600 K? - c. at 1000 K? --- *Note: This section provides questions to encourage the exploration of how temperature affects the movement of gas particles, using Models 1 and 2 for reference.*
**Speed Distribution of Helium Gas at Various Temperatures**

This graph represents the speed distributions of helium gas at three different temperatures: 300 K, 600 K, and 1000 K. It is titled "Model 2: Distribution of Molecular Speeds He gas at different temperatures."

**Graph Details:**

- **Axes:**
  - The x-axis represents the speed \( v \) in meters per second (m/s), ranging from 0 to 1400 m/s.
  - The y-axis represents the number of molecules \( n \), ranging from 0 to 3000.

- **Curves:**
  - **Red Curve**: Represents the distribution at 1000 K. It peaks at a higher speed compared to the others, indicating a broader distribution and higher average speed.
  - **Green Curve**: Represents the distribution at 600 K. It has a moderate peak and spreads over a mid-range speed.
  - **Blue Curve**: Represents the distribution at 300 K. It peaks at a lower speed, indicating that more molecules have lower speeds compared to the other temperatures.

As the temperature increases, the peak of the distribution curve shifts to higher speeds and becomes broader, showing that molecules move faster and their speeds are more varied at higher temperatures. This demonstrates the kinetic molecular theory, which describes how temperature affects the motion of gas molecules.
Transcribed Image Text:**Speed Distribution of Helium Gas at Various Temperatures** This graph represents the speed distributions of helium gas at three different temperatures: 300 K, 600 K, and 1000 K. It is titled "Model 2: Distribution of Molecular Speeds He gas at different temperatures." **Graph Details:** - **Axes:** - The x-axis represents the speed \( v \) in meters per second (m/s), ranging from 0 to 1400 m/s. - The y-axis represents the number of molecules \( n \), ranging from 0 to 3000. - **Curves:** - **Red Curve**: Represents the distribution at 1000 K. It peaks at a higher speed compared to the others, indicating a broader distribution and higher average speed. - **Green Curve**: Represents the distribution at 600 K. It has a moderate peak and spreads over a mid-range speed. - **Blue Curve**: Represents the distribution at 300 K. It peaks at a lower speed, indicating that more molecules have lower speeds compared to the other temperatures. As the temperature increases, the peak of the distribution curve shifts to higher speeds and becomes broader, showing that molecules move faster and their speeds are more varied at higher temperatures. This demonstrates the kinetic molecular theory, which describes how temperature affects the motion of gas molecules.
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