An A-type main-sequence star has surface gravity and a Rosseland mean opacity at the…

PHYSICS · Subjective · Fermi University Physics · Astrophysics & Cosmology · Radiation, radiative transfer and stellar atmospheres · Stellar structure, energy generation and evolution

Stars from the Inside, Ch Energy transport and the complete stellar model

Problem

An A-type main-sequence star has surface gravity

g = 1.7\times10^{2}\,\mathrm{m\,s^{-2}}

and a Rosseland mean opacity at the photosphere of

\bar\kappa = 0.050\,\mathrm{m^2\,kg^{-1}}

. Using the grey-atmosphere result

P_{\rm ph} = \tfrac{2}{3}g/\bar\kappa

as the photospheric boundary condition for the structure equations in mass coordinate, find

P_{\rm ph}

for this star.

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