Calculate the density at the centre of the Sun

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SUMMARY

The discussion focuses on calculating the density at the center of the Sun using the equation P(r) = p(r)/µmH kT(r). Participants express difficulty in rearranging the equation to isolate density and applying the correct values for core mass, temperature, and pressure. The rearranged equation p(r) = µmHP(r)/kT(r) is suggested, but uncertainty remains regarding the definitions of the variables involved. Accurate calculations require precise knowledge of these parameters.

PREREQUISITES
  • Understanding of stellar physics and core mass calculations
  • Familiarity with thermodynamic equations related to pressure and temperature
  • Knowledge of the symbols used in equations, such as µ (mean molecular weight) and mH (mass of hydrogen)
  • Basic algebraic manipulation skills for rearranging equations
NEXT STEPS
  • Research the definitions and values of variables in the equation P(r) = p(r)/µmH kT(r)
  • Study the concept of mean molecular weight in stellar environments
  • Learn about the conditions in the Sun's core, including temperature and pressure profiles
  • Explore numerical methods for solving equations in astrophysics
USEFUL FOR

Students studying astrophysics, educators teaching stellar dynamics, and researchers interested in stellar density calculations.

artworkmonkey
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Homework Statement


Assuming you know the core mass, and other data about the sun, such as temperatures and pressures. Find the density at the very center of a star.

Homework Equations


I think this may be involved.

P(r) = p(r)/µmH kT(r)

The Attempt at a Solution

[/B]
I don't know where to begin with this. I tried changing the equation to make density the subject, but when I plug figures in I seem to be way off. I thing I maybe going down the wrong path.
 
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I rearrange the equation to be p(r)=µmHP(r)/kT(r)
maybe this is not the right equation.
 
artworkmonkey said:

Homework Equations


I think this may be involved.

P(r) = p(r)/µmH kT(r).
Impossible to say without knowing how all those variables defined.
 

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