Compare average distance between molecules to size of N2

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Discussion Overview

The discussion revolves around comparing the average distance between nitrogen molecules (N2) to the size of a nitrogen molecule, specifically focusing on the interpretation of molecular dimensions and their implications in a gas context. The scope includes homework-related queries and conceptual clarifications regarding molecular size and volume.

Discussion Character

  • Homework-related, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant calculated the volume for a single nitrogen molecule and is uncertain about how to compare this volume to the "size" of the molecule.
  • Another participant suggests looking up the size of a water molecule to find relevant experimental data for comparison.
  • A different participant mentions the Van der Waals radius and expresses confusion about comparing a volume (cubic meter) with a one-dimensional distance (radius), questioning the clarity of the assignment.
  • Another participant clarifies that the Van der Waals radius is a length and emphasizes that the comparison should be between the radius of the molecule and the edge of the cube representing the volume occupied by the molecule in a gas.

Areas of Agreement / Disagreement

Participants express differing interpretations of the assignment, with some finding ambiguity in the instructions while others assert that the comparison is straightforward. No consensus is reached on the clarity of the task.

Contextual Notes

There are unresolved questions regarding the definitions of "size" and "volume" in the context of molecular dimensions, as well as the relationship between one-dimensional and three-dimensional measurements.

wololo
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Homework Statement


Capture.PNG

Homework Equations


Pv=nRt

The Attempt at a Solution


I already calculated V for a single molecule = 3.99x10^-23 m^3 and the cubic root of this volume gives 3.42x10^-8 m. However, I don't understand what I should do next. What does it mean to compare the value I obtained to the "size" of a molecule? Thanks
 
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I would start googling for "water molecule size". They want you to compare the volume calculated with experimental data describing the distance between atoms (plus some space for the electron cloud).
 
I looked up Van der Wall radius online (did not learn about it in class) and found how to measure the radius, diameter and volume of a specific molecule given it's experimentally measured constant b, but what puzzles me is that they ask me to compare the "size" (I assume van der wall volume?) of the molecule, a cubic meter value, with an unrelated one dimensional distance value. I feel as though they did not specify accurately enough what we need to do.
 
VdW radius is not a volume, it is length, just like the length you calculated. You are asked to compare the "radius" of a molecule (as determined experimentally) with the edge of a cube that such a molecule occupies in a gas. I see no ambiguity.
 

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