Foundations of Astronomy (MindTap Course List)
Foundations of Astronomy (MindTap Course List)
14th Edition
ISBN: 9781337399920
Author: Michael A. Seeds, Dana Backman
Publisher: Cengage Learning
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Chapter 12, Problem 13RQ
To determine

The lifespan of an O3 main-sequence star or a K7 main-sequence star.

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For a main sequence star with luminosity L, how many kilograms of hydrogen is being converted into helium per second? Use the formula that you derive to estimate the mass of hydrogen atoms that are converted into helium in the interior of the sun (LSun = 3.9 x 1026 W). (Note: the mass of a hydrogen atom is 1 mproton and the mass of a helium atom is 3.97 mproton. You need four hydrogen nuclei to form one helium nucleus.)
Consider two stars on the main sequence, A and B. Star A has a mass of Мо Star B has a mass of 0.2 Мо By what factor is the luminosity of star A greater than the luminosity of star В? [Hint: use the proportionality relations for mass, luminosity, or lifetime for stars on the main sequence.]
Star A and Star B are both on the main sequence. Star A is 74 times more luminous than Star B. What is the ratio of their main-sequence lifetimes? Hint: Refer to the stellar life expectancies equation,
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