Question

4. The central temperature and density of ZAMS stars can be approx-\imated over the stellar mass interval $0.1 M_\odot \le M \le 30 M_\odot$ by the\fits\\ $\log \left( T_c / K \right) \approx 7.10 + 0.38 \left( M / M_\odot \right),$\ $\log \left( \rho_c / g \, cm^{-3} \right) \approx 1.77 - 0.77 \left( M / M_\odot \right).$\ Derive corresponding expressions for the gas pressure $P_{gas} = P_{ion} +$\$P_e$ (assuming an ideal gas with $\mu \approx 0.62$) and the radiation pressure\$P_{rad}$ at the center. At what stellar mass does radiation pressure\begin to exceed gas pressure?

          4. The central temperature and density of ZAMS stars can be approx-\imated over the stellar mass interval $0.1 M_\odot \le M \le 30 M_\odot$ by the\fits\\
$\log \left( T_c / K \right) \approx 7.10 + 0.38 \left( M / M_\odot \right),$\
$\log \left( \rho_c / g \, cm^{-3} \right) \approx 1.77 - 0.77 \left( M / M_\odot \right).$\
Derive corresponding expressions for the gas pressure $P_{gas} = P_{ion} +$\$P_e$ (assuming an ideal gas with $\mu \approx 0.62$) and the radiation pressure\$P_{rad}$ at the center. At what stellar mass does radiation pressure\begin to exceed gas pressure?

$4. The central temperature and density of ZAMS stars can be approx-over the stellar mass interval 0.1 M⊙≤ M ≤ 30 M⊙ by the log( Tc / K ) ≈ 7.10 + 0.38 ( M / M⊙),log( / g cm^-3) ≈ 1.77 - 0.77 ( M / M⊙).Derive corresponding expressions for the gas pressure Pgas = Pion +$Pe(assuming an ideal gas withμ≈0.62) and the radiation pressure$Prad at the center. At what stellar mass does radiation pressure\begin to exceed gas pressure?$

Added by Felipe D.

Question

Please give Ace some feedback