The atomic mass number of an element is and its atomic number . The end products of this radioactive element are an isotope of Lead (Atomic mass and atomic number ). The number of and particles emitted is:
Step 1: Given data
The mass number of the radioactive element
The atomic number of the radioactive element
The atomic number of the end product
The atomic mass of the end product
Step 2: Calculating the number of alpha and beta particles
From the given data writing an equation,
Applying mass balance, we know the mass of an alpha particle
where is the number of alpha particles
Now balancing atomic numbers, since an alpha particle is very similar to the nucleus of a Helium atom that consists of two neutrons and two protons, its atomic number is
where is the number of beta particles
Now substituting the value of we get,
Therefore, the number of alpha and beta particles emitted are and