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Chapter 31: Q21PE (page 1149)

Electron capture by 7Be

Short Answer

Expert verified

The β- Decay equation of 7Be is \(_4^7B{e_3} + {e^ - } \to _3^7L{i_4} + {\nu _e}\).

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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 

7Be

We know that

A = N + Z

Where A is atomic mass number

The atomic mass of \(_4^7B{e_3}\) is 7 and

A = 7 Z = 4 N = 3

Thus,

A = 7 N = 3 - ( - 1) = 4 Z = A - N = 7 - 4 = 3

Therefore, electron capture Decay equation of 7Be is \(_4^7B{e_3} + {e^ - } \to _3^7L{i_4} + {\nu _e}\).

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Most popular questions from this chapter

If an electric field is substituted for the magnetic field with positive charge instead of the north pole and negative charge instead of the south pole, in which directions will the α, β, and γrays bend?

Large amounts of depleted uranium \({{\rm{(}}^{{\rm{238}}}}{\rm{U)}}\)are available as a by-product of uranium processing for reactor fuel and weapons. Uranium is very dense and makes good counter weights for aircraft. Suppose you have a \(4000\,{\rm{kg}}\)block of\(^{{\rm{238}}}{\rm{U}}\).

  1. Find its activity.
  2. How many calories per day are generated by thermalization of the decay energy?
  3. Do you think you could detect this as heat? Explain.

a) Calculate the energy released in the \({\rm{\alpha }}\) decay of \({}^{{\rm{238}}}{\rm{U}}\) . (b) What fraction of the mass of a single \({}^{{\rm{238}}}{\rm{U}}\) is destroyed in the decay? The mass of \({}^{{\rm{234}}}{\rm{Th}}\) is \(234.043593\,{\rm{u}}\). (c) Although the fractional mass loss is large for a single nucleus, it is difficult to observe for an entire macroscopic sample of uranium. Why is this?

Confirm that charge, electron family number, and the total number of nucleons are all conserved by the rule for electron capture given in theequation \(_Z^A{X_N} + {e^ - } \to _{Z - 1}^A{Y_{N + 1}} + {v_e}\). To do this, identify the values of each before and after the capture.

: β- decay producing90Y. The parent nuclide is a major waste product of reactors and has chemistry similar to calcium, so that it is concentrated in bones if ingested90Yis also radioactive.
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