Skip to main content
Ch.20 - Radioactivity and Nuclear Chemistry
Chapter 20, Problem 71

Calculate the quantity of energy produced per gram of reactant for the fusion of two H-2 (atomic mass = 2.014102 amu) atoms to form He-3 (atomic mass = 3.016029 amu) and one neutron.

Verified step by step guidance
1
Identify the nuclear reaction: \( ^2_1\text{H} + ^2_1\text{H} \rightarrow ^3_2\text{He} + ^1_0\text{n} \).
Calculate the mass defect by finding the difference between the total mass of reactants and the total mass of products.
Convert the mass defect from atomic mass units (amu) to energy using Einstein's equation \( E = \Delta m c^2 \), where \( c \) is the speed of light.
Determine the energy produced per mole of reactants by multiplying the energy per reaction by Avogadro's number.
Calculate the energy produced per gram of reactant by dividing the energy per mole by the molar mass of the reactants.