α decay producing 228Ra. The parent nuclide is nearly 100% of the natural element and is found in gas lantern mantles and in metal alloys used in jets 228Ra is also radioactive.

Short Answer

Expert verified

The α decay equation of \[{}_{88}^{228}Ra\] is – \[_{90}^{232}T{h_{142}} \to _{88}^{228}R{a_{140}} + _2^4H{e_2}\].

Step by step solution

01

Concept Introduction

The process of nuclear decay in which the parent nucleus emits an alpha particle is known as alpha decay. Two protons and two neutrons make up the alpha particle, which is structurally comparable to the nucleus of a helium atom and is symbolised by the Greek letter α.

02

Finding α decay equation

α decay means emission of α particleand α particle is the nucleus of helium atom containing 2 neutrons and 2 protons. So, general equation can be written as –

\[_Z^A{X_{A - Z}} \to _{z - 2}^{A - 4}{Y_{A - Z - 2}} + _2^4H{e_2}\]

Since \[{}_{88}^{228}Ra\] has atomic number 88.So, before alpha decay, parent nucleus will have atomic number 88 + 2 = 90. Now, the atomic mass of \[{}_{88}^{228}Ra\] is 228 so before alpha decay the parent nucleuswill have atomic mass 228 + 4 = 232. Hence,the parent nucleus is \[{}_{90}^{232}Th\].So,the decay equation will be –

\[_{90}^{232}T{h_{142}} \to _{88}^{228}R{a_{140}} + _2^4H{e_2}\]

Therefore, the decay equation is \[_{90}^{232}T{h_{142}} \to _{88}^{228}R{a_{140}} + _2^4H{e_2}\].

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Most popular questions from this chapter

When an electron and positron annihilate, both their masses are destroyed, creating two equal energy photons to preserve momentum.

(a) Confirm that the annihilation equation \({e^ + } + {e^ - } \to \gamma + \gamma \) conserves charge, electron family number, and total number of nucleons. To do this, identify the values of each before and after the annihilation.

(b) Find the energy of eachγ ray, assuming the electron and positron are initially nearly at rest.

(c) Explain why the twoγ rays travel in exactly opposite directions if the centre of mass of the electron-positron system is initially at rest.

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