We calculated the lifetime of the Sun as a H-fusion-powered object, but this assumed the entire Sun was pure Hydrogen and that ALL the hydrogen could be fused to Helium. In fact, by the time about 10% of the Hydrogen is fused to Helium the Sun will change its structure and no longer be a main-sequence star.
A star has a central temperature of
and luminosity of
.
We know that the Fuel of stars is Mass and the
Rate of Fuel Consumption is the Luminosity. So the
star would be expected to live 10 times longer based
on its extra fuel, but, 1/40000 less long based on its fuel
consumption:
Similarly a stars with
would have a main-sequence
lifetime that was: