5 questions about the virial theorem and the source of stars energy

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1) A sudden increase in the energy generation rate in the core of a star results in a sudden increase in internal pressure. Use the virial theorem to argue that the star will remain stable (i.e. use the virial theorem to figure out the sequence of changes that will result from the sudden increase in pressure.)

2) Question 15.4 from “Foundations of Astrophysics” (see attached picture)

3) Question 15.7 from “Foundations of Astrophysics” (see attached picture)

4) Question 15.8 from “Foundations of Astrophysics” (see attached picture)

5) Use the figure below to estimate the mass of a star which generates 90% of its energy using the CNO cycle. (see attached graph)

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