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 8, Problem 14P
To determine

A solar flare release energy equivalent of megatons of TNT.

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If the radius of the sun is 7.001×105  km, what is the average density of the sun in units of grams per cubic centimeter? The volume of a sphere is (4/3)π r3. The sun is a sphere with an estimated mass of 2.00×1030 kg.   What exactly is the conversion process for this?
1. The mass of the Sun is about 2x10³0 kg. The Sun was about 72% hydrogen when it first formed. About 11% of the total amount of the Sun's hydrogen is available for fusion within the Sun's core. [3 points] (a) What is the total mass of hydrogen available for fusion, in kg? (b) The Sun fuses about 600 billion kg of hydrogen each second. Calculate how long the Sun's initial supply of hydrogen can last. Give your answer in both seconds and years. Hint: use the result you calculated in part (a). (c) We know that our Solar System is about 4.5 billion years old. Using your calculation above, how much longer do we have until the Sun runs out of hydrogen?
In the model shown in the table below, what fraction of the Sun's mass is hotter than 5,000,000 K? R/R SunT (106 K) Density (g/cm³) 1.00 0.90 0.80 0.70 0.60 0.50 0.40 0.30 0.20 0.10 0.00 0.006 0.60 1.2 2.3 3.1 4.9 5.1 6.9 9.3 13.1 15.7 0.00 0.009 0.035 0.12 0.40 1.3 4.1 13 36 89 150 M/M Sun L/L Sun 1.00 0.999 0.996 0.990 0.97 0.92 0.82 0.63 0.34 0.073 0.000 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.99 0.91 0.40 0.00

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Foundations of Astronomy (MindTap Course List)

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