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hw6 - Physics 160 Stellar Astrophysics Homework#6 Due...

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Physics 160: Stellar Astrophysics Homework #6 Due Tuesday November 15 th at 5pm in SERF 340 Reading : Carroll & Ostlie chapters 12 & 13 Exercise [75 pts]: (1) [25 pts] Losing the Sun (a) [5 pts] How many hydrogen atoms are converted into helium per second in the core of the Sun, assuming all of the Sun’s luminosity is produced through the pp chain? (b) [5 pts] Based on part (a), how long would it take for the Sun to fuse 10%, 50% and 100% of its hydrogen into helium at the current luminosity? Why is the last number probably not realistic? (c) [5 pts] What is the mass loss rate of the Sun due to fusion in M /yr at the current luminosity? How long would it take for the Sun to shrink to zero mass? (d) [5 pts] Is the mass loss rate due to the solar wind larger or smaller than the mass loss rate due to fusion? (e) [5 pts] The Main Sequence lifetime of the Sun is 10 10 yr. What fraction of hydrogen is converted into helium, and what percentage of mass is lost by the Sun over this period from fusion and solar wind?
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