Chapter 30, Problem 67A

(a)

To determine

The element which is formed when boron isotope absorbs a proton and emits a neutron.

Explanation of Solution

Given:

The given information can be represented as follows:

  $\text{B}\text{+}\text{p}\to \text{n}\text{ +\_\_\_\_}$

Calculations:

When boron isotope would absorb a proton and emit a neutron, the mass number will not change but atomic number would increase by 1 because 1 proton is absorbed.

The atomic number of the element which will be formed would be $5+1=6$ . Atomic number 6 corresponds to Carbon (C).

Conclusion:

Carbon element would be formed when Boron isotope is bombarded with protons.

(b)

To determine

To Write: The nuclear equation when boron isotope absorbs a proton and emits a neutron.

Explanation of Solution

Given:

The given information can be represented as follows:

  $\text{B}\text{+}\text{p}\to \text{n}\text{ +\_\_\_\_}$

Calculations:

There would be same amount of atomic number and mass number on both sides of the equation.

Thus, on the right side of the equation, mass number of the missing element would be $11+1-1=11$ and its atomic number would be $5+1=6$ . Atomic number 6 corresponds to Carbon (C). Hence, the complete equation is:

  $\text{B}\text{+}\text{p}\to \text{n}\text{ +}\text{C}$

Conclusion:

Carbon element would be formed when Boron isotope is bombarded with protons.

(c)

To determine

To Write: The complete nuclear equation when boron isotope absorbs a proton and emits a neutron and the formed isotope decays by emitting a positron.

Explanation of Solution

Given:

The given information can be represented as follows:

  $\text{B}\text{+}\text{p}\to \text{n}\text{ +}\text{C}\to \text{e}+\_\_\_\_$

Calculations:

When the carbon isotope would decay emitting a positron, then Boron would form.

Complete nuclear reaction equation is:

  $\text{B}\text{+}\text{p}\to \text{n}\text{ +}\text{C}\to \text{e}+\text{B}$

Conclusion:

Thus, complete equation is:

  $\text{B}\text{+}\text{p}\to \text{n}\text{ +}\text{C}\to \text{e}+\text{B}$