Chapter 32, Problem 47PE

### 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

# Breeding plutonium produces energy even before any plutonium is fissioned. (The primary purpose of the four nuclear reactors at Chernobyl was breeding plutonium for weapons. Electrical power was a by−product used by the civilian population.) Calculate the energy produced in each of the reactions listed for plutonium breeding just following Example 32.4. The pertinent masses are m ( 239 U ) = 239.054289   u , m ( 239 Np ) = 239.052932   u , and m ( 239 Pu ) = 239.052157   u .

To determine

The energy produced in each of the reactions for plutonium breeding.

Explanation

Given info:

The mass of U238mU238=238.050784Â u

The mass of U239mU239=239.054289Â u

The mass of N239pmN239p=239.052932Â u

The mass of P239umP239u=238.052157Â u

The mass of a neutron

â€ƒâ€ƒmn=1.008665Â u

The mass of the Î²- particle

â€ƒâ€ƒme=0.0005486Â u

The breeding reactions:

â€ƒâ€ƒU238+nâ†’U239+Î³U239â†’N239p+Î²âˆ’+Î½eN239pâ†’P239u+Î²âˆ’+Î½e

Formula used:

The energy released in a nuclear reaction is given by,

â€ƒâ€ƒE=mrâˆ’mp931.5MeV/u

Here, mr is the mass of the reactants and mp is the mass of the products measured in atomic mass units (u).

Calculation:

For reaction (1) U238+nâ†’U239+Î³ , write an expression for the energy released.

â€ƒâ€ƒE1=mU 238+mnâˆ’mU 239931.5MeV/u

Calculate the energy released in the reaction.

â€ƒâ€ƒE1=m U 238 +mnâˆ’m U 239 931.5MeV/u=238.050784Â u+1

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