How Long Will a B0 Star Last on the Main Sequence?

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To estimate the main sequence lifespan of a B0 star, one can use its luminosity of approximately 16,000 times that of the Sun and its mass of about 16 solar masses. The core's rest mass energy accounts for roughly 10% of the total mass, and fusion efficiency is around 0.7%. By calculating the fraction of fuel the star needs to burn annually to sustain its luminosity, one can project how long it will last before exhausting its fuel. The relationship between luminosity and mass, where luminosity is proportional to mass cubed, is also relevant for these calculations. Understanding these principles allows for an estimation of the star's lifespan on the main sequence.
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Homework Statement



A B0 star has a luminosity of ~ 16000 L(solar) and a mass of ~ 16 M(solar). Can you estimate the time on the main sequence for this star simply from considering the rest mass energy of the core of the star (~10% of the total, and fusion burns with an efficiency of about 0.7%) and its luminosity?

Homework Equations



I know that for main sequence stars, L is proportional to M^3

The Attempt at a Solution



I have no idea where to go with this question, I've trawled through so many webpages and textbooks without success. Any ideas?
 
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You will need to figure out what fraction of the available fuel the star would need to burn every year to maintain its luminosity. This will let you project when it will run out. You shouldn't need to know much more than E=m*c^2 and the luminosity of the sun.
 

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