21st Century Astronomy
21st Century Astronomy
6th Edition
ISBN: 9780393428063
Author: Kay
Publisher: NORTON
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Chapter 14.1, Problem 14.1ACYU
To determine

The meaning of hydrostatic equilibrium.

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1. The Sun’s mass is ~2x1030 kg. If 10% of this is Hydrogen available in the core, how long will the Sun be able to continue fusing hydrogen at this rate? This is considered the Sun's "lifetime". If the Sun is 4.6 billion years old (and assuming it's power output is constant), how many years does it have left?
The sun has a radius of 6.959 × 108 m and a surface temperature of 5.81 x 10° K. When the sun radiates at a rate of 3.91 x 1026 W and is a perfect emitter. What is the rate of energy emitted per square meter? Stefan-Boltzmann constant is 5.67 x 10-8 J/s-m2 K4 a) 5.6 x 107 W/m2 b) 12.8 x 107 W/m2 c) 6.4 x 107 W/m2 25.6 x 107 W/m2 5.6 x 1017 W/m2
2. Assume that the entire luminosity of the Sun is due to the PP chain reaction. The complete PP chain reaction converts 4 hydrogen nuclei into 1 helium nucleus, according to the following reaction: 4 H - He + 2e* + 2v. a. Estimate the amount of energy released by one complete reaction. b. Estimate how many of these reactions occur per second in the Sun, and how many neutrinos the Sun produces each second. c. Estimate the flux of neutrinos (in v's s' cm?) passing through the Earth.
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