# Balancing Nuclear Equations and Writing Quark Equations

See attached file for problem.

1)

Consider the following nuclear processes which are used to produce isotopes used in medical imaging:

(see equation 1 in attached file)

An induced nuclear fission which occurs in two steps as shown in Equation 2 and Equation 3 below:

(also see equations 2 and 3 in attached file)

Find the mass number and atomic number for each of the unknown nuclei A, B and C, and hence identify them.

(Could you please explain how you came to your answer showing all working in full, Thank you!!!)

2)

a) Write an equation for the beta-plus decay of the oxygen isotope.

b) Write an equation for beta-minus decay of the molybdenum isotope

c) Write equations for each of the decays in part (a) and (b) in terms of the quarks iinvolved.

It is acceptable to write these equations for these reactions in words in which case the mass and atomic numbers must be stated where appropriate!!!

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#### Solution Preview

Solutions are attached.

1)

This problem is mostly one of balancing nuclear reactions, and all we need here is to know that the sum of mass numbers for the reactants must be equal to the sum of mass numbers for the products, and also that the sum of atomic numbers for the reactants must be equal to the sum of atomic numbers for the products. (see detailed solving of problem in attached file).

2)

a) A beta-plus decay is one in which a positron is emitted (see attachment for the case of the oxygen isotope).

b) A beta-minus decay is ...

#### Solution Summary

This solution contains a detailed step-to-step procedure on how to balance a nuclear equation by finding the mass numbers and atomic numbers of unknown nuclei and therefore identifying them. Illustrations are done here using nuclear processes which are used to produce isotopes for medical imaging, and an induced nuclear fission which occurs in two stages.

The solution also illustrates how to write an equation for the beta-plus decay of the oxygen isotope, and for the beta-minus decay of the molybdenum isotope. It ends up by explaining what quarks are, and how to write quark equations.