Physics for Scientists and Engineers with Modern Physics
Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337671729
Author: SERWAY
Publisher: Cengage
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Chapter 38, Problem 32P

(a)

To determine

The mass of the supply of the matter and the antimatter needed to provide the energy for one year.

(b)

To determine

The volume of the storage containers to hold the 5.0yr supply.

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You are working for an alternative energy company. Your supervisor has an idea for a new energy source. He wants to build a matter-antimatter reactor that will convert the entire mass of the matter and antimatter into recoverable energy, with no waste. He has lofty ideas; he wants his reactor to provide energy to the entire world, replacing coal, fossil fuel, hydroelectric, wind, thermal, and nuclear energy sources in all countries. (a) He asks you to determine the masses of the supply of matter and antimatter that will need to be combined to provide the world’s needs for one year. (b) He also asks you to determine how large the storage containers must be to hold a 5.0-yr supply of the matter and antimatter while it is waiting to be used in the reactor. The current energy consumption worldwide is about 4.0 × 1020 J per year, and the matter and antimatter will have approximately the density of aluminum, 2.70 g/cm3.
Question: If the entire 450 kg antimatter fuel supply of the Enterprise combines with the same amount of matter and is complete converted into energy, how much energy is then released? How does this compare to the U.S. yearly energy use, which is roughly 1.0 * 1020J?1 Give your answer as a percentage and give both answers in two significant figures (link). Remember E = m * c with c = 2.998 * 10° m/s 1Young, H.. and Freedman, R. (2015) University Physics with Modern Physics. Pearson. Solution: Released energy: Percentage:
These values may be useful for the following question(s).   speed of light = 3.00 ´ 108 m/s 1 J = 1 kg·m2/s2 1 cal = 4.18 J       What is the binding energy of an atom having a mass deficiency of 0.4721 amu per atom? Express your answer in kJ/mol of atoms.

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Physics for Scientists and Engineers with Modern Physics

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