Loose Leaf For Explorations: Introduction To Astronomy
9th Edition
ISBN: 9781260432145
Author: Thomas T Arny, Stephen E Schneider Professor
Publisher: McGraw-Hill Education
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Chapter 12, Problem 1TY
To determine
The opposing force of gravity of Sun.
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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.
Consider the two nuclear reactions I: A + B → C + E II: C + D → F + G(a) Show that the net disintegration energy for these two reactions (Qnet = QI + QII) is identical to the disintegration energy for the net reaction A + B + D → E + F + G(b) One chain of reactions in the Sun’s core is the protonproton cycle. Based on part (a), what is Qnet for this sequence?
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?
Chapter 12 Solutions
Loose Leaf For Explorations: Introduction To Astronomy
Ch. 12 - Prob. 1QFRCh. 12 - Prob. 2QFRCh. 12 - Prob. 3QFRCh. 12 - Prob. 4QFRCh. 12 - Prob. 5QFRCh. 12 - Prob. 6QFRCh. 12 - Prob. 7QFRCh. 12 - Prob. 8QFRCh. 12 - Prob. 9QFRCh. 12 - Prob. 10QFR
Ch. 12 - Prob. 11QFRCh. 12 - Prob. 12QFRCh. 12 - Prob. 13QFRCh. 12 - Prob. 14QFRCh. 12 - Prob. 15QFRCh. 12 - Prob. 16QFRCh. 12 - Prob. 17QFRCh. 12 - Prob. 18QFRCh. 12 - Prob. 19QFRCh. 12 - Prob. 20QFRCh. 12 - Prob. 1TQCh. 12 - Prob. 2TQCh. 12 - Prob. 3TQCh. 12 - Prob. 4TQCh. 12 - Prob. 5TQCh. 12 - Prob. 6TQCh. 12 - Prob. 7TQCh. 12 - Prob. 8TQCh. 12 - Prob. 9TQCh. 12 - Prob. 1PCh. 12 - Prob. 2PCh. 12 - Prob. 7PCh. 12 - Prob. 8PCh. 12 - Prob. 9PCh. 12 - Prob. 10PCh. 12 - Prob. 11PCh. 12 - Prob. 1TYCh. 12 - Prob. 2TYCh. 12 - Prob. 3TYCh. 12 - Prob. 4TYCh. 12 - Prob. 5TYCh. 12 - Prob. 6TY
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- Someone suggests that astronomers build a special gamma-ray detector to detect gamma rays produced during the proton-proton chain in the core of the Sun, just like they built a neutrino detector. Explain why this would be a fruitless effort.arrow_forwardWhy is fission not an important energy source in the Sun?arrow_forwardDo neutrinos have mass? Describe how the answer to this question has changed over time and why.arrow_forward
- What do measurements of the number of neutrinos emitted by the Sun tell us about conditions deep in the solar interior?arrow_forwardWhat makes a neutrino different than a photon? Why is it that astronomers of the mid-20th century only seemed to detect approximately 1/3 of the neutrinos from the Sun that they had expected to?arrow_forwardThe 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/m2arrow_forward
- From which atmospheric layer of the Sun did the photons originate that resulted in sunburn? How do you know?arrow_forwardHow much energy does 1 nuclear reaction which converts 4 protons to a Helium nucleus generate? In order to maintain thermal equilibrium, how many such nuclear reactions have to occur every second? What is hydrostatic equilibrium?arrow_forwardWhat is the ultraviolet catastrophe?arrow_forward
- 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 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_forwardThe sunspot cycle affects I. the latitude at which sunspots are visible at a given time. II. the number of sunspots that are visible at a given time. III. the rotation rate of the sun’s equator at a given time. IV. the magnetic polarity of the sunspots at a given time. a. I & II b. I & IV c. II & III d. I, II & III e. I, II, & IVarrow_forward. How big would a square solar sail need to be in order for sunlight to exert a 12 N force on it (use 1,100 W/m² as the intensity of the sunlight).arrow_forward
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