Calculate the energy released in the fission reaction of Eq....

Calculate the energy released in the fission reaction of Eq. (29-30). The atomic masses of ${ }_{56}^{141} \mathrm{Ba}$ and ${ }_{36}^{92} \mathrm{Kr}$ are $140.914 \mathrm{u}$ and $91.926 \mathrm{u}$, respectively.

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Key Concepts

Mass-Energy Equivalence

This concept states that mass and energy are interchangeable, according to Einstein's equation E = mc². In nuclear reactions, a small amount of mass is converted into a large amount of energy, which is essential for calculating the energy released in processes like fission.

Mass Defect

The mass defect is the difference between the total mass of the reactants and the total mass of the products in a nuclear reaction. This missing mass is converted into energy during the reaction, and its calculation is fundamental for determining the energy output.

Atomic Mass Unit Conversion

An atomic mass unit (u) is a standard unit for expressing the masses of atoms and molecules. In nuclear physics, the conversion factor (approximately 931.5 MeV per u) is used to convert a measured mass defect into the corresponding energy released during the reaction.

Nuclear Fission

Nuclear fission refers to the process in which a heavy nucleus splits into lighter nuclei along with other particles like neutrons. This process is accompanied by a significant release of energy resulting from the conversion of the mass defect into energy.

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