Chapter 32, Problem 57PE

### College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000

Chapter
Section

### College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000
Textbook Problem

# Assume one−fourth of the yield of a typical 320−kT strategic bomb comes from fission reactions averaging 200 MeV and the remainder from fusion reactions averaging 20 MeV.(a) Calculate the number of fissions and the approximate mass of uranium and plutonium fissioned, taking the average atomic mass to be 238.(b) Find the number of fusions and calculate the approximate mass of fusion fuel, assuming an average total atomic mass of the two nuclei in each reaction to be 5.(c) Considering the masses found, does it seem reasonable that some missiles could carry 10 warheads? Discuss, noting that the nuclear fuel is only a part of the mass of a warhead.

To determine

(a)

The number of fissions and the approximate mass of uranium and plutonium fissioned, taking the average atomic mass to be 238 assume one-fourth of the yield of a typical 320-kT strategic bomb comes from fission reactions averaging 200 MeV and the remainder from fusion reactions averaging 20 MeV?

Explanation

Given info:

â€ƒâ€ƒE=320kT

Calculation:

Energy from fission reaction,

â€ƒâ€ƒE=14Ã—320kT=80kT=80Ã—4.2Ã—1012=3.36Ã—1014J

Energy per fission reaction =200MeV=200Ã—1.6Ã—10âˆ’13=3.2Ã—10âˆ’11J

Number of fission reaction,

â€ƒâ€ƒn=3.36Ã—10143.2Ã—10âˆ’11=1

To determine

(b)

The number of fusions and calculate the approximate mass of fusion fuel, assuming an average total atomic mass of the two nuclei in each reaction to be 5?

To determine

(c)

Does it seem reasonable that some missiles could carry 10 warheads considering the masses found?

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