The sun radiates energy at the rate 3.8 x 1026 W. The source of this energy is fusion, a nuclear reaction in which mass is transformed into energy. The mass of the sun is 2.0 × 103⁰ kg. Part C Fusion takes place in the core of a star, where the temperature and pressure are highest. A star like the sun can sustain fusion until it has transformed about 0.10% of its total mass into energy, then fusion ceases and the star slowly dies. Estimate the sun's lifetime, giving your answer in billions of years.

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Chapter1: Units, Trigonometry. And Vectors
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Part c please. Helpful information: the sun loses 1.3 x 10 ^ 17 kg per year, this is 6.7 x 10 ^12 % of the sun’s total mass.
The sun radiates energy at the rate
3.8 x 1026 W. The source of this energy is
fusion, a nuclear reaction in which mass is
transformed into energy. The mass of the sun is
2.0 × 1030 kg.
Part C
Fusion takes place in the core of a star, where the temperature and pressure are highest. A star
like the sun can sustain fusion until it has transformed about 0.10% of its total mass into
energy, then fusion ceases and the star slowly dies. Estimate the sun's lifetime, giving your
answer in billions of years.
Express your answer in billion years.
▾ View Available Hint(s)
Hint 1. How to estimate the sun's lifetime
Consider how many years it will take to burn 0.10% of the sun's mass. Use the value
obtained in part A.
17| ΑΣΦ
xa
x + √x vx
X
|XI|
X.10n
billion years
t =
Transcribed Image Text:The sun radiates energy at the rate 3.8 x 1026 W. The source of this energy is fusion, a nuclear reaction in which mass is transformed into energy. The mass of the sun is 2.0 × 1030 kg. Part C Fusion takes place in the core of a star, where the temperature and pressure are highest. A star like the sun can sustain fusion until it has transformed about 0.10% of its total mass into energy, then fusion ceases and the star slowly dies. Estimate the sun's lifetime, giving your answer in billions of years. Express your answer in billion years. ▾ View Available Hint(s) Hint 1. How to estimate the sun's lifetime Consider how many years it will take to burn 0.10% of the sun's mass. Use the value obtained in part A. 17| ΑΣΦ xa x + √x vx X |XI| X.10n billion years t =
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