Chapter 30.2, Problem 21PP

(a)

To determine

The missing product of nuclear reaction.

Answer to Problem 21PP

The missing product is $\text{S}$.

Explanation of Solution

Given: $\text{β}$ decay of $\text{P}$.

Calculation:

The nuclear equation is shown as,

  $\text{P}\to \_\_\_\text{+}e+\overline{v}$

In the above nuclear equation, electron and antineutrino particle is formed, so this is an example of $\text{β}$ decay.

In beta decay, a nucleus with $N$ neutrons and $Z$ protons forms a product which has $N-1$ neutrons and $Z+1$ proton and antineutrino particle is also formed.

Therefore, the complete nuclear reaction is:

  $\text{P}\to \text{S}\text{+}e+\overline{v}$

Conclusion:

Sulphur ( $\text{S}$ ) is formed after $\text{β}$ decay of $\text{P}$ .

(b)

To determine

The missing product of nuclear reaction.

Answer to Problem 21PP

The missing product is $\text{M}\text{n}$ .

Explanation of Solution

Given: The $\text{β}$ decay of $\text{C}\text{r}$

Calculation:

The nuclear equation is shown as,

  $\text{C}\text{r}\to \_\_\_\text{+}e+\overline{v}$

In the above nuclear equation, electron and antineutrino particle is formed, so this is an example of $\text{β}$ decay.

In beta decay, a nucleus with $N$ neutrons and $Z$ protons forms a product which has $N-1$ neutrons and $Z+1$ proton and antineutrino particle is also formed.

Therefore, the complete nuclear reaction is:

  $\text{C}\text{r}\to \text{M}\text{n+}e+\overline{v}$

Conclusion:

Manganese ( $\text{M}\text{n}$ ) is formed after $\text{β}$ decay of $\text{C}\text{r}$ .