# Fermion gas problems.

1. May 9, 2010

### ben133

1. The problem statement, all variables and given/known data

Consider the collapse of the Sun into a white dwarf. For the Sun, $$M = 2 \times 10^{30} kg$$,
$$R = 7 \times 10^{8}m$$, $$V = 1.4 \times 10^{27}m^{3}$$ .

(c) What is the average speed of the electrons in the fermion gas?

(d) What is the density of the electron gas? Compare it with the density of water?

2. Relevant equations
(Note: For a
star with mass greater than a critical value of 1.44 times the mass of the Sun, the collapse
continues beyond the white dwarf stage as gravitational attraction overcomes the electron
pressure. The result is a very dense neutron star that eventually ends in a supernova
explosion.) ($$0.39 kg m^{3}$$)

3. The attempt at a solution
I must admit, I haven't a clue. I've read through my textbook (Huang) and can't find any hints on were to start off. Any help with a starting point folks?