Solving Stellar Structure: Pressure & Temperature Stratification

[atomqwerty]

Homework Statement

Let be the density given by the expression p = p_c(1-r/R) where R is tha radius of the star. Find the stratification for pressure and temperature.

Homework Equations

Equilibrium eq. dP/dr = -Gm(r)p/r²

Continuity eq. dm/dr = 4*Pi*r²p

PS.: p == rho (sorry for not using TeX)

The Attempt at a Solution

The main problem is how to find the temperature stratification... maybe using the ideal gas equation PV =nRT?

Thanks!

 

[ideasrule]

Have you already found the pressure distribution? If so, try rewriting the ideal gas law in terms of density, by multiplying both sides of PV=nRT by molar mass.

 

[atomqwerty]

Have you already found the pressure distribution? If so, try rewriting the ideal gas law in terms of density, by multiplying both sides of PV=nRT by molar mass.

Yes, I've found P(r) using Equilibrium equation, now if I write P=puRT (p:density; u:molar mass) and p=p_c(1-r/R). Then I Have a relation between T and p, is that right?

thnk