Number Density and pressure

  • #1
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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.
 
  • #2
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.
 
  • #3
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.
 
  • #4
You have temperature - look at your equations. Still, looks to me like you should consult periodic table.
 
  • #5
What excatly is "number density" just a fancy way of saying volume seeing as the units are m^3?
 

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