FOUNDATIONS OF ASTRONOMY (LL)-W/MINDTAP
14th Edition
ISBN: 9780357000502
Author: Seeds
Publisher: CENGAGE L
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Chapter 8, Problem 14P
To determine
A solar flare release energy equivalent of megatons of TNT.
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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?
A solar flare can release 1025 J. How many megatons of TNT would be equivalent?
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
Chapter 8 Solutions
FOUNDATIONS OF ASTRONOMY (LL)-W/MINDTAP
Ch. 8 - Prob. 1RQCh. 8 - Prob. 2RQCh. 8 - Prob. 3RQCh. 8 - Prob. 4RQCh. 8 - Prob. 5RQCh. 8 - Prob. 6RQCh. 8 - What evidence can you give that granulation is...Ch. 8 - Prob. 8RQCh. 8 - Prob. 9RQCh. 8 - Prob. 10RQ
Ch. 8 - Prob. 11RQCh. 8 - Prob. 12RQCh. 8 - Prob. 13RQCh. 8 - Prob. 14RQCh. 8 - Energy can be transported by convection,...Ch. 8 - Prob. 16RQCh. 8 - Prob. 17RQCh. 8 - Prob. 18RQCh. 8 - Prob. 19RQCh. 8 - Meridional is derived from meridian. Look up the...Ch. 8 - Prob. 21RQCh. 8 - Prob. 22RQCh. 8 - How can solar flares affect Earth?Ch. 8 - Prob. 24RQCh. 8 - Why does nuclear fusion require high temperatures...Ch. 8 - Prob. 26RQCh. 8 - Four protons are combined in the proton-proton...Ch. 8 - Give an example of a charged subatomic particle...Ch. 8 - Prob. 29RQCh. 8 - Prob. 30RQCh. 8 - Prob. 31RQCh. 8 - Prob. 32RQCh. 8 - Prob. 33RQCh. 8 - The radius of the Sun is 0.7 million km. What...Ch. 8 - Prob. 2PCh. 8 - Prob. 3PCh. 8 - What is the angular diameter of a star the same...Ch. 8 - If a sunspot has a temperature of 4200 K and the...Ch. 8 - How many watts of radiation does a 1-meter-square...Ch. 8 - If a sunspot has a temperature of 4200 K and the...Ch. 8 - Prob. 8PCh. 8 - Prob. 9PCh. 8 - Prob. 10PCh. 8 - Prob. 11PCh. 8 - Prob. 12PCh. 8 - Prob. 13PCh. 8 - Prob. 14PCh. 8 - The United States consumes about 2.5 1019 J of...Ch. 8 - Prob. 16PCh. 8 - Prob. 1SOPCh. 8 - Prob. 2SOPCh. 8 - Whenever there is a total solar eclipse, you can...Ch. 8 - Prob. 2LTLCh. 8 - Prob. 3LTLCh. 8 - Prob. 4LTLCh. 8 - The two images here show two solar phenomena. What...Ch. 8 - Prob. 6LTL
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- Now 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_forwardThe capture of too few solar neutrinos by Davis in the solar neutrino experiment a. can be explained if the sun is not undergoing thermonuclear fusion of hydrogen in its core. b. indicates that the sun’s core is much cooler than expected. c. indicates that the sun’s core is much hotter than expected. d. indicates that the sun’s core is convective. e. is explained by none of the above.arrow_forwardExplain neutrino oscillations and their consequences.arrow_forward
- 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?arrow_forward1. If 0.048 × 10-27 kg of mass is converted to energy in a single hydrogen fusion reaction, how much mass is lost over the lifespan of the sun?arrow_forwardIf you could run 5.9 kilometers at 8.4 km/hr, how much energy would you burn?This activity uses up energy at the rate of 350.8W.arrow_forward
- The United States consumes about 2.5 3 1019 J of energy in all forms in a year. How many years could you run the United States on the energy released by the solar flarearrow_forwardCarbon-14 has a half-life of 5730 years. What mass of carbon-14 would have a decay rate of 20,000 Bq? Considering that carbon-14 decays via beta-minus radiation, ALSO write the complete nuclear decay equation.arrow_forwardFor Solar composition, μ = 0.61arrow_forward
- The total energy output from the Sun of around 3.8 x 1026 joules per second, what is the mass of elements consumed in order to produce this amount of energy?arrow_forwardHigh energy cosmic rays from space hit the nitrogen in the atmosphereand convert it from nitrogen (N14) into carbon (C14). This produces a steadyconcentration of C14 in the atmosphere once the decay rate of the C14 back intoN14 matches the conversion rate from the cosmic ray flux (which is assumedto be constant for reasons you can ask me about if you want) a) What kind of radiation (what kind of particle) does the C14 emit when it decays? Tellme how you know?b) The concentration of C14 in plants (and animals) comes into equilibrium with the at-mosphere because living things use the ambient carbon to make their cellular structures.However, once a plant dies, it no longer consumes C14. The C14 starts to decay away—allowing us to calculate when the plant died because the C14/C12 ratio doesn’t match theatmosphere. If the half life of C14 is 5000 years, what is the age of a piece of charcoal froma site from the Clovis peoples of North America if the concentration of C14 is 15% of…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 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.arrow_forward
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