In: Physics
A) What is the average number density of particles inside the brown dwarf, given that the average mass per particle is about 10^−24 gram? (Hint: The volume of a sphere of radius r is equal to 4πr3/3 .) (A brown dwarf with a mass of 0.04 MSun and a radius of 0.1 RSun.)
B) What is the approximate temperature necessary for gas pressure to balance gravity within the brown dwarf, given the average particle density from part A?
C) How does that temperature compare with the 1×10^7K temperature needed to sustain hydrogen fusion?
D) Explain how conditions inside the brown dwarf would change if you raised its mass to 0.12 MSun.