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A 100 MꙨ (i.e 100 times the mass of the Sun) main-sequence star is close to...

A 100 M (i.e 100 times the mass of the Sun) main-sequence star is close to its Eddington limit, is powered by the CNO
cycle, and has a central temperature of 3x10^7 K. How massive must a star be before it
can begin burning He while still on the main sequence? From this, estimate how many
such stars (if any) you might expect to find in the Milky Way.

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