Fusion of Stars: Time Difference for 0.50 & 1.5 Msolar Stars

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The discussion focuses on the time difference in hydrogen fusion between 0.50 Msolar and 1.5 Msolar stars. The key equation involves comparing the mass converted to energy and the luminosity of the stars. This comparison can be derived using known values for our own sun as a reference. The user is seeking a straightforward equation to solve the problem. Understanding these relationships is crucial for determining the fusion duration of different mass stars.
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How many times longer does a 0.50 Msolar star fuse hydrogen at it’s core than dose a 1.5 Msolar star?

i just need the equation and i can figure it out. i can't find anything on google

thank you
 
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I take it that you're on some sort of astronomy course and this is homework? The equation you are looking for can be easily derived by cosidering the fractions of mass that a star converts to energy and the luminocity of the star then comparing that with the values for our own star.
 

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