One-Dimensional distribution of Molecular Velocity Questioin

AI Thread Summary
The discussion revolves around calculating the one-dimensional distribution of molecular velocity for nitrogen (N2) at 300K using the provided equation. The user is struggling with the exponential term in the equation, which results in zero due to the high value generated in the exponent. It is clarified that the mass used should be the mass of a single nitrogen molecule rather than the mass of one mole. This correction is crucial for obtaining accurate results in the calculation. The conversation emphasizes the importance of using the correct mass in statistical mechanics equations.
ramsharmjarm
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1. Homework Statement [/b]

Calculate the function for N2 at 300k

d(vx)= (m/2pikT)^1/2 exp(-(mv^2/2kT)

I have to be able to use this equation for varying velocity from -1500 m/s to 1500 m/s

The Attempt at a Solution



Boltzmann constant = 1.3806503 × 10-23 m2 kg s-2 K-1
N2 mass= 0.0280 kg

So I am plugging these 2 values in the equation, but i keep getting 0 when i do the exp(mv^2/2kt part). e to the power of such a high number gives me 0 and that high number comes from my denominator being such as small value, so I am no sure what to do.

I have uploaded question formula picture incase its not clear.
 

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The mass you use for N2 is incorrect. It should be the mass of one molecule, not of one mole.
 
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