Chapter 31, Problem 15P

To determine

The mass of ${}_9^{18}\text{F}$ .

Answer to Problem 15P

The value of the mass is $18.00095\text{u}$ .

Explanation of Solution

Given:

The reaction of the $\mathrm{p}{+}_8^{18}\text{O}{\to }_9^{18}\text{F}+\text{n}$ requires the input of energy equal to $2.453\text{MeV}$ .

Calculation:

Consider the mass of the input energy is ${\mathrm{Q}}_1-2.453\text{MeV}$ .

Consider the value of the rest mass is ${\mathrm{m}}_1=1.007825\text{u}$ .

Consider the rest mass is ${}_8^{18}\mathrm{O}$ is ${\mathrm{m}}_2=1.799160\text{u}$ .

The value of the rest mass n is ${\mathrm{m}}_3=1.008665\text{u}$ .

Consider the mass of ${}_8^{18}\mathrm{F}$ is m then,

  $\begin{array}{c}{\mathrm{Q}}_1=\left(\mathrm{m}+{\mathrm{m}}_3+1.008665-1.007825-17.99916\right)\\ =18.00095\text{u}\end{array}$