Chapter 19, Problem 19.106CP

Interpretation Introduction

Interpretation:

Calculating mass defect and thus calculating the energy released by using Einstein’s equation.

Concept introduction:

Einstein’s equation
It states that any reaction produces or consumes energy due to a loss or gain in mass. Energy and mass are equivalent.

$\Delta E=\Delta m{c}^2$

$\Delta E$ is the change in energy in joules

$\Delta m$ is the change in mass in kg
c is the speed of light

Given:

$H+He\stackrel{}{\to }He+H$

Relevant masses

$\begin{array}{l}H=2.0141u\\ He=3.0160u\\ He=4.0026u\\ H=1.0078u\end{array}$

To determine:

To determine the energy released in the fusion reaction of $H$ and $He$ in kJ per mole