Universe
11th Edition
ISBN: 9781319039448
Author: Robert Geller, Roger Freedman, William J. Kaufmann
Publisher: W. H. Freeman
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Chapter 16, Problem 17Q
To determine
The overall effect on the radius of Sun if thermonuclear fusion occurring in it suddenly stopped. Explain the same with the help of hydrostatic and thermal equilibrium.
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Check out a sample textbook solutionStudents have asked these similar questions
Assume that the core of the Sun has one-eighth of the Sun’s mass and is compressed within a sphere whose radius is one-fourth of the solar radius.Assume further that the composition of the core is 35% hydrogen by mass and that essentially all the Sun’s energy is generated there. If the Sun continues to burn hydrogen at the current rate of 6.2 *1011 kg/s, how long will it be before the hydrogen is entirely consumed? The Sun’s mass is 2.0 * 1030 kg.
d) Calculate what temperature a thermal kinetic energy of 2 keV corresponds to, and compare this with the temperature in the core of the Sun.
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
Chapter 16 Solutions
Universe
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- Why is fission not an important energy source in the Sun?arrow_forward1. 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?arrow_forward1) a) At what rate is the Sun's mass decreasing due to nuclear reactions Am/At? Use E=mc? and Lsun=3.839x1026 W and give your answer in Msun/year. b) And due to solar wind? Calculate the flow using v=500 km/s measured on Earth, n=7x106 particles/m³ and µ=1. c) Assuming that those 2 processes rates remain constant during the Sun's main-sequence life, would either mass loss process significantly affect the total mass of the Sun? Use that the Sun's lifetime in the main-sequence is ~ 1010 years.arrow_forward
- The surface temperature of the Sun is about 6000K. For this question, assume it is exactly 6000K. Now suppose that the surface temperature of the Sun was 12,000 K, rather than 6,000 K. a) How much more thermal radiation would the Sun emit, compared to its current output? Answer as a whole number, which is the ratio of the new to the old output.arrow_forwardFor several hundred years, astronomers have kept track of the number of solar flares, or sunspots which occur on the surface of the sun. The number of sunspots counted varies periodically from a minimum of about 10 per year to a maximum of about 110 per year. Between the maximum that occurred in the years 1750 and 1948, there were 18 completed cycles. A.) What is the period of the sunspot cycle? B.) Assume that the number of sunspots varies sinusoidally with the year. Sketch a graph of two sun spot cycles, starting in 1948. C.) Write an equation expressing the number of sunspots per year in terms of the year. D.) what is the first year after 2000 in which the number of sunspots will be about 35? A maximum?arrow_forwardAssume that the core of the Sun has one-eighth of the Sun’s mass and is compressed within a sphere whose radius is one-fourth of the solar radius.Assume further that the composition of the core is 31% hydrogen by mass and that essentially all the Sun’s energy is generated there. If the Sun continues to burn hydrogen at the current rate of 6.33E11 kg/s, how long, in years, will it be before the hydrogen is entirely consumed? Mass of the Sun is 2.0x1030 kg.arrow_forward
- a.Calculate the mass loss rate of the Sun M˙ due to the solar wind flow. Assume averageproperties of the solar wind of number density 6 protons cm−3, and a flow speed of 450 kms−1. Express your answer in units of both kg per year, and solar masses per year. b.Suppose the solar wind flow is perfectly radial. Calculate the expected rate of change ofsolar rotation frequency dω/dt at the present time, based on conservation of angular momentum. Give your answer in units of rad s−1 y−1(i.e., radians per second per year) and alsoin terms of fractional change per year, i.e., 1/ωdω/dt .Use a current solar rotation period of P = 25.38 days to calculate the current angularfrequency of rotation ω. The moment of inertia of a uniform sphere is 2/5 MR2. You canassume that the radius of the Sun is approximately constant, and the change in its momentof inertia due to the solar wind is only due to the mass loss. c.By observing the rotation period of stars similar to the Sun, it is inferred that their…arrow_forwardNow suppose that all of the hydrogen atoms in the Sun were converted into helium. How much total energy would be produced? (To calculate the answer, you will have to estimate how many hydrogen atoms are in the Sun. This will give you good practice with scientific notation, since the numbers involved are very large! See Appendix C for a review of scientific notation.)arrow_forwardDescribe in your own words what is meant by the statement that the Sun is in hydrostatic equilibrium.arrow_forward
- Why is a higher temperature required to fuse hydrogen to helium by means of the CNO cycle than is required by the process that occurs in the Sun, which involves only isotopes of hydrogen and helium?arrow_forwardDo neutrinos have mass? Describe how the answer to this question has changed over time and why.arrow_forwardWhat do measurements of the number of neutrinos emitted by the Sun tell us about conditions deep in the solar interior?arrow_forward
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