Q22PE - College Physics (Urone)

Question

Electron capture decay equation of ¹⁰⁶In

Step-by-Step Solution

Answer

The β^- Decay equation of ¹⁰⁶In is \(_{49}^{106}I{n_{57}} + {e^ - } \to _{48}^{106}C{d_{58}} + {\nu _e}\).

What is atomic mass number ?

The amount of matter contained in an atom of an element is called its atomic mass.

Formula to be used

A = N + Z

 

Where A is atomic mass number

Z is the number of protons in a nucleus

X is the symbol for the element

 

In the expression below:

\(_Z^A{X_N}\) 

 

Z is the number of protons in a nucleus

X is the symbol for the element

To determine the Electron capture decay equation of 106 In

We know that 

A = N + Z

 

Where A is atomic mass number

 

The atomic mass of \(_{49}^{106}I{n_{57}}\) is 106 and

A = 106 Z = 49 N = 57

 

Thus,

 A = 106 N = 57 - ( - 1) = 58 Z = A - N = 106 - 58 = 48

 

Therefore, electron capture Decay equation of ¹⁰⁶In is  \(_{49}^{106}I{n_{57}} + {e^ - } \to _{48}^{106}C{d_{58}} + {\nu _e}\).