
Concept explainers
Interpretation:
The balanced
Concept introduction:
In a balanced radioactive decay
And
In the balanced radioactive decay, the subscript present on the individual particles represents the
While writing the abbreviated form of any radioactive reaction, the reactant is written first followed by parenthesis, which contains the bombarded particle first and then the emitted particle. After this the product is written.

Answer to Problem 38QP
Solution:
(a)
(b)
(c)
Explanation of Solution
a)
It is known that while writing the abbreviated form, the reactant is written first.
Here, the reactant is
Then, it is followed by the parentheses where the bombarded particle is written first, followed by the emitted particles. These are separated by commas.
Here, the bombarded particle is
At the end, the parenthesis is closed and the product is written.
Here, the product is
Thus, the equation can be written as
Now, apply the balancing rules as
And
On the left side of the reaction, the sum of the atomic numbers is given by the expression as follows:
On the right-hand side of the reaction, the sum of the atomic numbers is calculated as follows:
Thus, the atomic number of X is calculated as follows:
Similarly,
On the left side of the reaction, the sum of the mass numbers is given by the expression as follows:
On the right-hand side of the reaction, the sum of the mass numbers is as follows:
Thus, the mass number of X is calculated as follows:
So, X will be
Hence, the balanced reaction is given as follows:
b)
It is known that while writing the abbreviated form, the reactant is written first.
Here, the reactant is
Then, it is followed by the parenthesis where the bombarded particle is written first followed by the emitted particles. These are separated by commas.
Here, the bombarded particle is
At the end, the parenthesis is closed and the product is written.
Here, the product is
Thus, the equation can be written as follows:
Now, apply the balancing rules as follows:
And
On the left side of the reaction, the sum of the atomic numbers is given as follows:
On the right hand side of the reaction, the sum of the atomic numbers is
Thus, the atomic number of X is calculated as follows:
Similarly,
On the left side of the reaction, the sum of the mass numbers is calculated as follows:
On the right hand side of the reaction, the sum of the mass numbers is
Thus, the mass number of X is calculated as follows:
So, X will be
Hence, the balanced reaction is given as follows:
c)
It is known that while writing the abbreviated form, the reactant is written first.
Here, the reactant is
Then, it is followed by the parenthesis where the bombarded particle is written first followed by the emitted particles. These are separated by commas.
Here, the bombarded particle is
At the end, the parenthesis is closed and the product is written.
Here, the product is
Thus, the equation can be written as follows:
Now, apply the balancing rules as follows:
And
On the left side of the reaction, the sum of the atomic numbers is given as follows:
On the right hand side of the reaction, the sum of the atomic numbers is
Thus, the atomic number of X is calculated as follows:
Similarly,
On the left side of the reaction, the sum of the mass numbers is calculated as follows:
On the right hand side of the reaction, the sum of the mass numbers is
Thus, the mass number of X is calculated as follows:
So, X will be
Hence, the balanced reaction is given as follows:
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