College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Title: Estimating Molecular Distances in Air

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**Question**: Estimate the average distance between molecules in air at 0.0°C and 3.00 atm.

**Answer**: [    ] nm

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**Explanation**: 

This exercise involves determining the average distance between air molecules under specified conditions—specifically at a temperature of 0.0°C and a pressure of 3.00 atm. 

When calculating this distance, one typically applies concepts from gas laws and molecular chemistry. Here's a simplified method to consider:

1. **Ideal Gas Law**: The equation \( PV = nRT \) can be used to find the molar volume. However, adjustments need to be made since the pressure is not at standard atmospheric conditions, being 3.00 atm instead.

2. **Understanding Molecular Density**: Once the molar volume is determined, it can be converted into a number density (molecules per unit volume) using Avogadro's number.

3. **Calculating Distance**: The average molecular distance can then be calculated by assuming molecules are evenly distributed in space, effectively treating the molecules as points in a lattice and calculating the mean distance between them.

The blank box indicates where students can input their calculated distance after performing necessary computations.

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Transcribed Image Text:Title: Estimating Molecular Distances in Air --- **Question**: Estimate the average distance between molecules in air at 0.0°C and 3.00 atm. **Answer**: [ ] nm --- **Explanation**: This exercise involves determining the average distance between air molecules under specified conditions—specifically at a temperature of 0.0°C and a pressure of 3.00 atm. When calculating this distance, one typically applies concepts from gas laws and molecular chemistry. Here's a simplified method to consider: 1. **Ideal Gas Law**: The equation \( PV = nRT \) can be used to find the molar volume. However, adjustments need to be made since the pressure is not at standard atmospheric conditions, being 3.00 atm instead. 2. **Understanding Molecular Density**: Once the molar volume is determined, it can be converted into a number density (molecules per unit volume) using Avogadro's number. 3. **Calculating Distance**: The average molecular distance can then be calculated by assuming molecules are evenly distributed in space, effectively treating the molecules as points in a lattice and calculating the mean distance between them. The blank box indicates where students can input their calculated distance after performing necessary computations. ---
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