Unformatted text preview: temperature, Tc, assuming an ideal, fully ionized gas with X = 0.00, Y = 0.36, Z = 0.64 (Note: this is different than the atmosphere!). Is this sufficient for proton fusion? ρ0 = (3/4π) x (2x1030 kg)/(7x108 m)3 = 1392 kg/m3 (just above water) Pc = 0.119 x 6.67x10
11 m3/kg
s2 x (2x1030 kg)2/(7x108 m)4 = 1.3x1014 N/m2 = 1.3x109 bar For an ionized gas, 1/µ = 2X + 0.75Y + <1+Z/A>Z = 2(0) + 0.75(0.36) + 0.5(0.64) = 0.59 P= ρkT
P µmH
⇒T =
µmH
ρk = (1.3x1014 N/m2 x 1.67x10
27 kg)/(0.59 x 1392 kg/m3 x 1.38x10
23 J/K) = 2x107 K Definitely hot enough for fusion! (3) Degenerate Matter [40 pt] Degenerate matter is defined as fermionic matter that has filled all of its available quantum states. Electron
degenerate gas characterizes the interiors of the lowest mass stars, brown dwarfs, planets and white dwarfs. It can be defined by the distribution function: f(E) = constant for E ≤ εF = 0 for E > εF where εF is the Fermi energy (a) [10 pts] Show that, in the case of a nonrelativistic electron gas, the momentum volume element can be written in terms of energy: d3 p =...
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 Fall '08
 Norman,M
 Physics, Work, Classless InterDomain Routing, dτ, the00, Kap, lim ξ

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