College

Consider the reaction below. What would the daughter nuclide be?

[tex]\[ {}_{83}^{210} \text{Bi} \rightarrow ? + {}_{-1}^{0} \text{e} \][/tex]

A. Bi-210
B. Po-210
C. Pb-210
D. Hg-210

Answer :

To solve the given problem, we need to understand the type of nuclear reaction presented. The reaction involves an isotope of Bismuth ([tex]\(_{83}^{210}Bi\)[/tex]) and a beta particle ([tex]\(_{-1}^0e\)[/tex]).

The reaction described here is a beta decay. In beta decay:

1. A neutron in the nucleus of the atom is converted to a proton.
2. This process emits a beta particle, which is an electron ([tex]\(_{-1}^0e\)[/tex]), from the nucleus.

As a result of the neutron being converted into a proton, the atomic number of the element increases by 1 while the mass number remains the same.

Let's break this down using the information provided:

- Original Nuclide: [tex]\(_{83}^{210}Bi\)[/tex]
- Atomic number (Z): 83
- Mass number (A): 210

- Daughter Nuclide after Beta Decay:
- New Atomic Number (Z): 83 + 1 = 84
- Mass Number (A): 210 (unchanged)

Now, using the periodic table:

- The element with atomic number 84 is Polonium (Po).

Therefore, after the beta decay, the daughter nuclide formed is [tex]\(_{84}^{210}Po\)[/tex], which is Po-210.