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

AI Thread Summary
In statistical mechanics, the problem involves determining the function p(r), which represents the probability of finding a nearest neighbor atom at a distance between r and r+dr in a gas at standard temperature and pressure (STP). The user is confused about how to proceed after calculating particle density and is unsure about the spatial considerations, such as the volume of space between r and r+dr. Clarification on STP indicates it refers to standard pressure (1 atm) and temperature (273.15 K). The discussion highlights a need for guidance on the mathematical approach to solve for p(r) in this context. Further assistance is requested to navigate the complexities 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.
 
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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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