How Do You Calculate Pressure from Number Density and RMS Speed in Argon Gas?

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Homework Help Overview

The problem involves calculating the pressure of argon gas using its number density and root mean square (rms) speed. The context is rooted in gas laws and kinetic theory.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to manipulate equations related to pressure but struggles with finding the mass of argon. Some participants question the relationship between number density, moles, and volume, while others suggest looking at the periodic table for necessary information.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the problem. Some guidance has been offered regarding the use of the periodic table and the relationship between number density and moles, but no consensus has been reached on how to proceed with the calculations.

Contextual Notes

Participants note constraints such as the lack of temperature information and the original poster's uncertainty about the definition of number density.

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Homework Statement


The number density in a container of argon gas is 2.00 X 10^25. The atoms are moving with an rms speed of 455 m/s. What is the pressure inside the container?


Homework Equations


V rms = sqrt( (3)(k)(T) / m)

P = F/A = (1/3)(N/V)(m)(v^2 rms)


The Attempt at a Solution



I have tried manipulating all the equations to somehow find the pressure, but have been unsuccessful. I seem to have all the variables except the mass. So i assume i need to get the mass somehow, any ideas?

Thanks.
 
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What is one mole of gas? What is its volume? What is Avogadro's law?
Answers to these questions will lead to the mass of the argon.
 
Is the moles the number density divided by Avogadro's number? And how do i get the volume? I can't use the ideal gas law since i don't have temperature.
 
You have temperature - look at your equations. Still, looks to me like you should consult periodic table.
 
What excatly is "number density" just a fancy way of saying volume seeing as the units are m^3?
 

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