Chapter 31, Problem 9P

To determine

The Q value of the capture reaction.

Answer to Problem 9P

The reaction is exothermic reaction.

Explanation of Solution

Given:

The given reaction is $\mathrm{\alpha }{+}_8^{16}\mathrm{O}{\to }_{10}^{20}\text{Ne}+\mathrm{\gamma }$ .

Calculation:

Consider the reaction is,

  $\mathrm{\alpha }{+}_8^{16}\mathrm{O}{\to }_{10}^{20}\text{Ne}+\mathrm{\gamma }$

Then the value of Q is,

  $\begin{array}{c}\mathrm{Q}=\left({\mathrm{M}}_{\mathrm{\alpha }}+{\mathrm{M}}_{\underset{8}{\overset{16}{\mathrm{O}}}}-{\mathrm{M}}_{\underset{10}{\overset{20}{\mathrm{N}\mathrm{e}}}}-{\mathrm{M}}_{\mathrm{\gamma }}\right)\\ =4.002603+15.994915-19.992440\\ =0.005078\text{u}\\ =+4.73\text{MeV}\end{array}$