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 6P
To determine
How much energy is produced?
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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?
A 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)
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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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
- The text says that the Local Fluff, which surrounds the Sun, has a temperature of 7500 K and a density 0.1 atom per cm3. The Local Fluff is embedded in hot gas with a temperature of 106 K and a density of about 0.01 atom per cm3. Are they in equilibrium? (Hint: In pressure equilibrium, the two regions must have nT equal, where n is the number of particles per unit volume and T is the temperature.) What is likely to happen to the Local Fluff?arrow_forwardIf 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?arrow_forwardThe 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_forward
- Which of the following is least reasonable regarding energy production in the Sun? Group of answer choices Although the Sun is losing some energy, it is getting bigger and gaining some mass because some of the radiated energy is being converted to mass. The core of the Sun is converting hydrogen to helium through nuclear fusion. Some of the energy produced in the Sun through nuclear fusion can be harnessed on Earth with photovoltaic (e.g., solar panels) technology. The mass m lost in a nuclear fusion reaction can be accounted for by a gain of energy E according to the famous equation E=mc2.arrow_forwardWhat changes would you notice if the sun emitted radiation at an effective temperature of 2000 K instead of 5762 K.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_forward
- Explain how we know that the Sun’s energy is not supplied either by chemical burning, as in fires here on Earth, or by gravitational contraction (shrinking).arrow_forwardTable 15.1 indicates that the density of the Sun is 1.41 g/cm3. Since other materials, such as ice, have similar densities, how do you know that the Sun is not made of ice?arrow_forwardEvery second, the Sun converts 4 million tons of matter to energy. How long will it take the Sun to reduce its mass by 1% (the mass of the Sun is 21030 kg)? Compare your answer with the lifetime of the Sun so far.arrow_forward
- Which aspects of the Sun’s activity cycle have a period of about 11 years? Which vary during intervals of about 22 years?arrow_forwardWhy is fission not an important energy source in the Sun?arrow_forwardShow that the statement that 92% of the Sun’s atoms are hydrogen is consistent with the statement that 73% of the Sun’s mass is made up of hydrogen, as found in Table 15.2. (Hint: Make the simplifying assumption, which is nearly correct, that the Sun is made up entirely of hydrogen and helium.)arrow_forward
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