   Chapter 10, Problem 49P ### University Physics Volume 3

17th Edition
William Moebs + 1 other
ISBN: 9781938168185

#### Solutions ### University Physics Volume 3

17th Edition
William Moebs + 1 other
ISBN: 9781938168185
Textbook Problem

# Write the complete decay equation in the complete Z A X N notation for the beta ( β − ) decay of 3H (tritium), a manufactured isotope of hydrogen used in some digital watch displays, and manufactured primarily for use in hydrogen bombs.

To determine

Nuclear β- decay equation of 3H (tritium).

Explanation

Introduction:

3H (tritium) is a manufactured isotope of hydrogen which is used in digital watch displays and manufactured primarily for use in hydrogen bombs. Tritium has two neutrons where regular hydrogen atoms do not have any neutron which makes it unstable and radioactive. The nucleus of tritium has two neutrons and one proton.

Beta particle (β-) is a particle similar to that of an electron. Daughter nuclide after its emission has one extra proton than the parent nuclide. After the emission of daughter nuclide, it has an atomic number more than parent nuclide by 1. They have the same atomic mass.

General equation of nuclide after beta decay is

ZAXZ+1AY+10β+υe .............. (1)

Here,

A= Atomic mass, Z= Atomic number, Y= Daughter nuclide element, X= Parent nuclide element,

υe = Electron's anti-neutrino.

In this, the parent nucleus is 3H. Beta decay is the emission of the beta particle from tritium.

The beta particle has an atomic number -1 and tritium 13H has atomic number 1.

Therefore, after the decay, the atomic number in the nucleus will be 1(1)=2.

The atomic mass of tritium is 3 and that of the beta particle is 0. The atomic mass of the nucleus will be 3(0)=3. The new nucleus formed has atomic number 2 and mass number 3. The element which has an atomic number as 2 is Helium

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