Question

2. (12 points) Consider a hypothetical star of radius R with density $\rho$ that is constant, ie independent of radius. The star is composed of a classical, nonrelativistic ideal gas of fully ionized hydrogen. In class, we derived the pressure profile P(r) for such a star. A. Derive the temperature profile T(r) for the star. B. Assume that the nuclear energy production rate depends on temperature as $\sim T^4$. At what radius does this decrease to 0.1 of its central value, and what fraction of the star's volume is include in the radius?

          2. (12 points) Consider a hypothetical star of radius R with density $\rho$ that is constant, ie independent of radius. The star is composed of a classical, nonrelativistic ideal gas of fully ionized hydrogen. In class, we derived the pressure profile P(r) for such a star.
A. Derive the temperature profile T(r) for the star.
B. Assume that the nuclear energy production rate depends on temperature as $\sim T^4$. At what radius does this decrease to 0.1 of its central value, and what fraction of the star's volume is include in the radius?

$2. (12 points) Consider a hypothetical star of radius R with density ρ that is constant, ie independent of radius. The star is composed of a classical, nonrelativistic ideal gas of fully ionized hydrogen. In class, we derived the pressure profile P(r) for such a star. A. Derive the temperature profile T(r) for the star. B. Assume that the nuclear energy production rate depends on temperature as ∼ T^4. At what radius does this decrease to 0.1 of its central value, and what fraction of the star's volume is include in the radius?$

Added by Rachel E.

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