- #1

Farang

- 18

- 7

## Homework Statement

Determine electron concentration for both Helium and Nitrogen as a function of pressure at 300K.

This is from preliminary task for

*Energy loss of alpha particles in gases*laboratories. It's too late to submit this, I'd just like to understand. Can post more info from the lab script if needed. If someone could point out what I'm doing wrong, that'd be great.

## Homework Equations

[tex]n(p,T)=\frac{p}{T}\frac{kN_{A}}{V_{m}}[/tex]

## The Attempt at a Solution

Not sure if the value I use for V

_{m}is correct. It's ##22.4\times10^{-3}m^{3}mol^{-1}## for all gases under standard conditions (##273K##). Does it change with temperature?

[tex]n(p,300K)=\frac{p}{300K}\frac{2(6.022\times10^{23}mol^{-1})}{(22.4\times10^{-3}m^{3}mol^{-1})}=(1.792\times10^{23}m^{-3}K^{-1})p[/tex]

So that gives units of electron concentration = ##m^{-4}s^{-2}K^{-1}kg##, which doesn't make sense. I'd expect ##m^{-3}##

I've got a lot of catching up to do on thermodynamics, I'm sure you can tell haha

Andre

PS. I wonder if there's a way to write the Dirac equation in natural units without the slashed package(see sig)