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What you will learn
- Main-sequence luminosity rises steeply with mass.
- High-mass stars use their fuel much faster and live shorter lives.
- Initial mass strongly influences a star’s evolutionary ending.
Space & Stars · reward round
Each round deals a target stellar ending. You control exactly one thing: the birth mass, 0.1–40 M☉. The model is real — L = M³·⁵, lifetime ∝ M⁻²·⁵, supernova above 8 M☉, black hole above 20 — and the dashed ghost previews the whole life your dial has chosen. Forge, then watch the star cross the HR diagram to the ending you did (or did not) earn.
Score 0 · level 1/5 · Forge a star that dies gently — a white dwarf. Stay under the 8 M☉ supernova line.
The dial sets the birth mass M, and everything else follows from the chapter’s model: luminosity L = M³·⁵ (in solar units), a surface temperature that rises with mass along the main sequence, and a fuel clock t ∝ M/L = M⁻²·⁵ — which is why a 20 M☉ star lives about ten million years while a 0.5 M☉ dwarf would outlast the current age of the universe more than four times over.
The endpoints are the real thresholds of stellar evolution, simplified to two lines: below about 8 M☉ the collapse of the dead core stops at electron degeneracy — a white dwarf; between 8 and 20 the supernova leaves a neutron star; above 20 nothing stops the fall and a black hole forms. The track the dot follows is the star’s path across the Hertzsprung–Russell diagram: along the main sequence band, up and right to the giant branch, then to whichever corpse the mass decreed.
The twist levels are honest physics too. Demanding a minimum lifetime pushes you to the light end of the allowed window because heavy stars burn fast; outliving a rival means undercutting their mass, since t ∝ M⁻²·⁵ is strictly decreasing. Real astrophysicists play this exact game in reverse: from a cluster’s HR diagram they read which masses have already died, and that dates the cluster.
Game 28 · Space & Stars Physics learning guide
Learning objectiveChoose a star’s birth mass to produce a target stellar remnant and connect mass with luminosity and lifetime.
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Why can a more massive main-sequence star have a shorter lifetime despite containing more fuel?
Suitable forUpper-secondary physics · stellar evolution and the H–R diagram
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