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Homework Statement
The lifetime of the sun on the main sequenceof the hertzprung-russel diagram is estimated to be 10^10 years. Assuming that the luminosities of stars on the upper diagram main sequence vary as mass^4, estimate the solar mass of a star for which it's main squence lifetime is 10^6 years.
Homework Equations
L = k M^b
T = kM / L = k M^1-b
T = k M^-2
'=k' is a subsitute for the proportional symbol
b = beta
The Attempt at a Solution
I know the star is going to be heavier, but I'm not given any values for luminosity. And when I try to equate time to mass I get funny answers. A push in the right direction here?