Chapter 32, Problem 48PE

### 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

# The naturally occurring radioactive isotope 232Th does not make good fission fuel, because it has an even number of neurons; however, it can be bred into a suitable fuel (much as 238U is bred into 239P).(a) What are Z and N for 232Th? (b) Write the reaction equation for neutron captured by 232Th and identify the nuclide AX produced in n + 232 Th → A X + γ .(c) The product nucleus Î²− decays, as does its daughter. Write me decay equations for each, and identify the final nucleus.(d) Conform that the final nucleus has an odd number of neutrons, making it a better fission fuel.(e) Look up the half−life of the final nucleus to see if it lives long enough to be a useful fuel.

To determine

(a)

The values of Z the atomic number and N neutron number for 232 Th.

Explanation

Given:

The nucleus 232 Th

Formula used:

The mass number A is related to the atomic number Z and the neutron number N as follows:

â€ƒâ€ƒA=Z+N

Calculation:

A nucleus is written as XZA . Here X is the chemical symbol of the element. The nucleus 232 Th is written as T90232h.

From the above expression, A=232;Z=90

To determine

(b)

The product of the reaction n+T232hXA+γ.

To determine

(c)

The equations for the β decay of T90233h and its daughter nucleus and to determine the final nucleus.

To determine

(d)

If the final nucleus U92233 has odd number of neutrons.

To determine

(e)

If the nucleus U92233 lives long enough to be useful as a fuel.

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