Estimate of Lifetime of Sun from Power Output
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Assuming that the distance between the Earth and the Sun is approximately 1.5E11 m, the mass of the sun is 1E31 g, and that the energy fluence imparted on the Earth from the sun is 1.4E3 W m-2, how long do we have before the sun runs out of fuel?
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Solution Summary
In this solution, we estimate how long the sun will shine based on the given data on the sun's mass and distance from the earth, as well as the intensity of sunlight on earth.
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The total energy of the sun is E = Mc^2, where M = 10^28 kg is its total mass. (Actually, the mass of the sun is much greater than this - the actual figure is 2*10^30 kg. I believe the figure quoted is the difference in mass ...
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