Answer : The balanced equations for the three successive nuclear reactions are:
First reaction will be:
[tex]_{92}^{234}\textrm{U}\rightarrow _{90}^{230}Th+_2^4He[/tex]
Second reaction will be:
[tex]_{90}^{230}\textrm{Th}\rightarrow _{88}^{226}Ra+_2^4He[/tex]
Third reaction will be:
[tex]_{88}^{226}\textrm{Ra}\rightarrow _{86}^{222}Rn+_2^4He[/tex]
Explanation :
Alpha decay : In this process, alpha particles is emitted when a heavier nuclei decays into lighter nuclei. The alpha particle released has a charge of +2 units.
The general representation of alpha decay reaction is:
[tex]_Z^A\textrm{X}\rightarrow _{Z-2}^{A-4}Y+_2^4\alpha[/tex]
The balanced equations for the three successive nuclear reactions are:
First reaction will be:
[tex]_{92}^{234}\textrm{U}\rightarrow _{90}^{230}Th+_2^4He[/tex]
Second reaction will be:
[tex]_{90}^{230}\textrm{Th}\rightarrow _{88}^{226}Ra+_2^4He[/tex]
Third reaction will be:
[tex]_{88}^{226}\textrm{Ra}\rightarrow _{86}^{222}Rn+_2^4He[/tex]