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chapter29.solutions

# chapter29.solutions - Chapter 30 Nuclear Energy and...

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487 Chapter 30 Nuclear Energy and Elementary Particles Problem Solutions 30.6 At 40.0% efficiency, the useful energy obtained per fission event is ( ) ( ) 13 11 0.400 200 MeV event 1.60 10 JMeV 1.28 10 Jevent event E = × = × The number of fission events required each day is then ( ) ( ) 9 4 24 11 1.00 10 Js 8.64 10 sd 6.75 10 eventsd 1.28 10 Jevent event t N E × × = = = × × P Each fission event consumes one 235 U atom. The mass of this number of 235 U atoms is ( ) ( ) ( ) 24 27 6.75 10 eventsd 235.044u 1.66 10 kg u 2.63 kg d atom m N m = = × × = In contrast, a coal-burning steam plant producing the same electrical power uses more than 6 6 10 kg d × of coal. t 1800 miles)

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488 CHAPTER 30 30.8 The estimated weight of the naturally occurring uranium is ( ) 9 12 2000 lbs 1 N 1.0 10 tons 8.9 10 N 1 ton 0.2248 lbs w = × = × and its mass is 12 11 2 8.9 10 N 9.1 10 kg 9.80 m s w m g × = = = × The total number of uranium nuclei contained in this mass of uranium is ( ) ( ) 11 36 27 9.1 10 kg 2.3 10 average mass of uranium atom 238.03 u 1.66 10 kg u total m N × = = = × × Of this total, 0.720% is the fissionable
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chapter29.solutions - Chapter 30 Nuclear Energy and...

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