Solution Found!
In below used the virial theorem to estimate the heat
Chapter 3, Problem 15P(choose chapter or problem)
Problem 3.15. In Problem 1.55 you used the virial theorem to estimate the heat capacity of a star. Starting with that result, calculate the entropy of a star, first in terms of its average temperature and then in terms of its total energy. Sketch the entropy as a function of energy, and comment on the shape of the graph.
Questions & Answers
QUESTION:
Problem 3.15. In Problem 1.55 you used the virial theorem to estimate the heat capacity of a star. Starting with that result, calculate the entropy of a star, first in terms of its average temperature and then in terms of its total energy. Sketch the entropy as a function of energy, and comment on the shape of the graph.
ANSWER:Step 1 of 4
The heat capacity of a gravitationally bound system is estimated using the virial theorem as
where is the number of particles in the star.