If the nuclear fusion reaction of converting 4 H → He occurs at an efficiency of 0.7%, and that mass is converted into energy according to the equation E = mc2, then estimate the Main Sequence lifetime of the Sun (spectral type G2) in years if the Sun (⊙) has a surface luminosity L⊙ = 3.839°ø1033 erg. Assume the Sun’s core (10% of the total mass) is converted from H into He. The Sun’s mass is M⊙ = 1.9891 °ø 1033 g.

Principles of Physics: A Calculus-Based Text
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Author:Raymond A. Serway, John W. Jewett
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Chapter31: Particle Physics
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If the nuclear fusion reaction of converting 4 H → He occurs at an

efficiency of 0.7%, and that mass is converted into energy according

to the equation E = mc2, then estimate the Main Sequence lifetime of the Sun (spectral type G2)

in years if the Sun (⊙) has a surface luminosity L⊙ = 3.839°ø1033

erg. Assume the Sun’s core (10% of the total mass) is converted

from H into He. The Sun’s mass is M⊙ = 1.9891 °ø 1033 g.

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