The Eddington standard model is a simplified model for stellar structure, which assumes hydrostatic equilibrium, radiative transport of energy with a constant opacity K, and pressure that follows the law.

Where 0 ≤ β< 1 is an arbitrary constant and a = 4σ/c is the 'radiation constant'. Show that I am in this model, and derive an expression for the constant of proportionality in terms of β, κ, and physical constants.

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