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Chapter 31: Q22PE (page 1149)

Electron capture decay equation of 106In

Short Answer

Expert verified

The β- Decay equation of106In is \(_{49}^{106}I{n_{57}} + {e^ - } \to _{48}^{106}C{d_{58}} + {\nu _e}\).

Step by step solution

01

What is atomic mass number ?

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

02

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

03

To determine the Electron capture decay equation of 106In

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 \(_{49}^{106}I{n_{57}} + {e^ - } \to _{48}^{106}C{d_{58}} + {\nu _e}\).

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Most popular questions from this chapter

Unreasonable Results

A physicist scatters\(\gamma \)rays from a substance and sees evidence of a nucleus\(7.5 \times {10^{ - 13}}\;{\rm{m}}\)in radius. (a) Find the atomic mass of such a nucleus.

(b) What is unreasonable about this result?

(c) What is unreasonable about the assumption?

The weak and strong nuclear forces are basic to the structure of matter. Why we do not experience them directly?

(a) Write the complete \({{\rm{\beta }}^{\rm{ - }}}\) decay equation for \({}^{{\rm{90}}}{\rm{Sr}}\) , a major waste product of nuclear reactors. (b) Find the energy released in the decay.

The unified atomic mass unit is defined to be\(1\,{\rm{u}} = 1.6605 \times {10^{ - 27}}\,{\rm{kg}}\). Verify that this amount of mass converted to energy yields \(931.5\,{\rm{MeV}}\). Note that you must use four-digit or better values for \({\rm{c}}\) and \({\rm{|}}{{\rm{q}}_{\rm{e}}}{\rm{|}}\).

What is the source of the energy emitted in radioactive decay? Identify an earlier conservation law, and describe how it was modified to take such processes into account.
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