Help Needed: Finding p(r) in Statistical Mechanics at STP

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Homework Help Overview

The discussion revolves around a problem in statistical mechanics concerning the probability function p(r) for the distance to the nearest neighbor in a gas at standard temperature and pressure (STP).

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to relate particle density to the problem but expresses confusion about the next steps, particularly regarding the volume of space involved. Some participants question the definition of STP and the assumptions about the gas being contained in a finite volume.

Discussion Status

The discussion is ongoing, with participants seeking clarification on the problem's parameters and expressing uncertainty about the approach to take. There is no explicit consensus yet, as some participants are still trying to understand the basic definitions and setup.

Contextual Notes

Participants are discussing the implications of STP, specifically the definitions of pressure and temperature, and the shape of the container for the gas, which may affect the interpretation of the problem.

Norman
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Please Help- A problem in statistical mechanics

In a gas at STP, let p(r)dr be the probability that an atom has a nearest neighbor between distances r and r+dr. Find p(r).

I am struggling with this question. For STP I can find the particle density. But where do I go from there? Do I need to think of a volume of space between r+dr and r?
I am very confused.
 
Last edited:
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What's STP...?And what's the shape of the box...?(I'm assuming the gas to be contained in a finite volume box).

Daniel.
 
Norman said:
In a gas at STP, let p(r)dr be the probability that an atom has a nearest neighbor between distances r and r+dr. Find p(r).

This is exactly how the problem is stated.

STP means "standard pressure and temperature" P=1 atm and T=273.15 K
 
I still have no clue, anyone willing to help please?
 

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