The relationship quantifying faster fuel consumption in massive stars is known by what specific term?
Answer
The Mass-Luminosity relation
The connection between a star's mass and how quickly it consumes its nuclear fuel is described by the Mass-Luminosity relation, expressed mathematically as $L imes M^a$. This relationship demonstrates that luminosity increases much more rapidly than mass. For example, an O-star might possess 60 times the mass of the Sun but radiate with $1.4$ million times the luminosity. Because the energy output (luminosity) is vastly greater relative to the fuel supply (mass), the star must burn through its core hydrogen at a tremendously accelerated pace, leading to a significantly truncated total lifespan compared to low-mass stars.
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