Horizons: Exploring the Universe (MindTap Course List)
14th Edition
ISBN: 9781305960961
Author: Michael A. Seeds, Dana Backman
Publisher: Cengage Learning
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Chapter 7, Problem 8P
To determine
How many megatons of TNT would be equivalent?
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Can you solve the problem, according to the information provided?
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?
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?
Chapter 7 Solutions
Horizons: Exploring the Universe (MindTap Course List)
Ch. 7 - Prob. 1RQCh. 7 - What evidence can you give that granulation is...Ch. 7 - Prob. 3RQCh. 7 - Prob. 4RQCh. 7 - Prob. 5RQCh. 7 - Prob. 6RQCh. 7 - Prob. 7RQCh. 7 - Prob. 8RQCh. 7 - Prob. 9RQCh. 7 - Prob. 10RQ
Ch. 7 - Prob. 11RQCh. 7 - How can solar flares affect Earth?Ch. 7 - Prob. 13RQCh. 7 - Prob. 14RQCh. 7 - Prob. 15RQCh. 7 - Prob. 16RQCh. 7 - Prob. 17RQCh. 7 - Prob. 18RQCh. 7 - Explain why the presence of spectral lines of a...Ch. 7 - What energy sources on Earth cannot be thought of...Ch. 7 - What would the spectrum of an auroral display look...Ch. 7 - Prob. 4DQCh. 7 - The radius of the Sun is 0.7 million km. Examine...Ch. 7 - Prob. 2PCh. 7 - Prob. 3PCh. 7 - If a sunspot has a temperature of 4200 K and the...Ch. 7 - How much energy is produced when the Sun converts...Ch. 7 - Prob. 6PCh. 7 - Prob. 7PCh. 7 - Prob. 8PCh. 7 - The United States consumes about 2.51019 J of...Ch. 7 - Prob. 10PCh. 7 - Prob. 1LTLCh. 7 - Prob. 2LTLCh. 7 - Prob. 3LTL
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- 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_forwardIn 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 0.00arrow_forwardRaising a number in scientific notation to a power is easy: (5 x 105)² = (5)² x (105)² = 5 x 5 x 105 x 105 = 25 x 10(5 × 2) = 25 x 1010 = 2.5 x 101¹1 Keeping this in mind, what is the volume of the sun in km³? The radius of the sun is about 7 x 105 km, and the volume of a sphere is 4/3 x Pi x R³. (Use 3.14 for Pi, and enter your answer with two decimal places). km³ 3 What is the average density of the Sun? Density = mass / volume. The mass of the sun is 2.0x10³0 kg. kg/km³arrow_forward
- Assume that Hydrogen comprises 79% of the Sun's mass. How much mass is this? 1.57e+30 kg Only about 11% of the initial Hydrogen in the Sun is in the core where it is hot enough to burn. What was the total mass of the inital H in the core of the Sun? Hint: Use the answer above and the percent in the core to determine the total mass. Using the results from above, how much total energy is available to the Sun via nuclear fusion over its lifetime? (HINT: only 0.71% of the total mass of the available H in the core is converted into energy) Hint: E = m c^2arrow_forwardGusts of the solar wind travel as fast as 1000 km/s. How many days would the solar wind take to reach Earth at this speed? (Note: The average distance to the Sun is 1.496 ✕ 108 km.)arrow_forwardShow your data and graph table Approximately how many times farther from the sun is HCM 6A than Pluto? Honors physicsarrow_forward
- High 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_forwardA speck of carbon dust may contain as many as 30 billion atoms of carbon, each atom having a mass of 2.00 x 10-23 grams. Suppose the mass of all the atoms in a speck of carbon dust were converted entirely to energy and applied to the kinetic energy of a baseball. How fast would the baseball be moving? (Mass of baseball = 0.145 kg. ) (1 gram = 1 x 103kg) (KE = ½ mv2) (1 billion = 1 x 109)arrow_forwardConsider a neutron star as a very dense sphere of matter. Assuming that the star has a mass of 1*(mass of sun) and a radius of 0.05*(radius of sun), then how much would a 85.1 kg person weigh on the surface of this star? (enter your answer in Newtons). See the test reference sheet for applicable constants. HINT: Remember what we learned about the force of gravity and the gravitational field (Ch. 13 of the textbook)arrow_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_forwardThe 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_forwardPlease give the answer on units of solar masses, thank youarrow_forward
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