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When a positron and an electron annihilate one another, the resulting mass is completely converted to energy. Calculate the energy associated with this process in kJ/mol.
Ch.20 - Radioactivity and Nuclear Chemistry
Chapter 20, Problem 88
The overall hydrogen burning reaction in stars can be represented as the conversion of four protons to one alpha particle. Use the data for the mass of H-1 and He-4 to calculate the energy released by this process.
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Identify the reactants and products in the reaction: 4 protons (H-1) are converted into 1 alpha particle (He-4).
Determine the mass of the reactants: Calculate the total mass of 4 protons using the given mass of H-1.
Determine the mass of the product: Use the given mass of He-4 to find the mass of the alpha particle.
Calculate the mass defect: Subtract the mass of the product (He-4) from the total mass of the reactants (4 protons).
Use Einstein's equation, \( E = \Delta m c^2 \), to calculate the energy released, where \( \Delta m \) is the mass defect and \( c \) is the speed of light.
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