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## Homework Statement

By estimating the De Broglie wavelength and the inter-particle spacing, find whether the following systems of particles are degenerate:

(i) a gas of neutrons in a neutron star with mass density 10^17 kg/m^3 at the temperature of 10^8K

(ii)a gas of oxygen molecules at pressure 10atm(=10^6 pascals) at room temperature

## Homework Equations

De Broglie wavelength, l= h/(sqrt(2*pi*m*k*T))

inter-particle spacing: (4/3)*pi*d^3=1/n

h = 6.626x10^-34 Js

k= 1.38x10^-23 J/K

## The Attempt at a Solution

for degeneracy d< l

De Broglie wavelength, l= 6.626x10^-34 /(sqrt(2*pi*10^17 *1.38x10^-23*10^8))

= 2.25x10^-35????

Is m in the DeBroglie equation meant to be mass? so if I have mass density how do I found the mass if idon't know the volume of the gas??

Also for the inter-particle spacing what is the number density(n) for each example??

Thanks