Show that for a fully ionized gas the number of electrons per gram is (1 + x)/2 mh and that e = 2/(1 + x).
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Astrophysics
Show that for a fully ionized gas the number of electrons per gram is (1 + X)/2 mH and that μe = 2/(1 + X).
Hint:
We express the chemical composition in terms of the mass fractions Xj of each element (e.g., XH, XHe, XC…) for H, He, C, etc. We adopt the definition frequently used in the literature: X = X,Y = X He, andz =1-X-Y . From this we can see that Z is the mass fraction of all elements together except H and He. The composition of the solar atmosphere is X = 0.70, Y = 0.28, and Z = 0.02.
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