Respuesta :
Option b, the sum of or the difference of the atomic number and mass must be equal on both sides of the equation.
Option b: [tex]^{24}_{11}Na\rightarrow ^{24}_{12}Mg+^{0}_{-1}e[/tex]
A nuclear equation is said to be balanced if the sum of the mass number A and sum of the atomic number Z is equal on both sides of the reaction arrow.
In nuclear reaction, atoms are represented as follows:
[tex]^{A}_{Z}X[/tex]
Here, A stands for mass number, Z stands for atomic number and X represents the atomic symbol.
a. The nuclear reaction is as follows:
[tex]^{23}_{11}Na\rightarrow ^{24}_{12}Mg+^{1}_{1}H[/tex]
Here, sum of mass number and atomic number on left side of the reaction arrow is 23 and 11 respectively.
On right hand side sum of mass number is 24+1=25 and that of atomic number is 12+1=13. Since, both mass number and atomic number are not same, it is not a balanced nuclear reaction.
b. The nuclear reaction is as follows:
[tex]^{24}_{11}Na\rightarrow ^{24}_{12}Mg+^{0}_{-1}e[/tex]
Here, sum of mass number and atomic number on left side of the reaction arrow is 24 and 11 respectively.
On right hand side sum of mass number is 24+0=24 and that of atomic number is 12-1=11. Since, both mass number and atomic number are same, it is a balanced nuclear reaction.
c. The nuclear reaction is as follows:
[tex]^{24}_{13}Al\rightarrow ^{24}_{12}Mg+^{0}_{-1}e[/tex]
Here, sum of mass number and atomic number on left side of the reaction arrow is 24 and 13 respectively.
On right hand side sum of mass number is 24+0=24 and that of atomic number is 12-1=11. Since, atomic number is not same, it is not a balanced nuclear reaction.
d. The nuclear reaction is as follows:
[tex]^{23}_{12}Mg\rightarrow ^{24}_{12}Mg+^{1}_{0}n[/tex]
Here, sum of mass number and atomic number on left side of the reaction arrow is 23 and 12 respectively.
On right hand side sum of mass number is 24+1=25 and that of atomic number is 12+0=12. Since, atomic number is not same, it is not a balanced nuclear reaction.
