E MMH The fusion of two deuterium nuclei ( 1^2 H,. mass .=2.0141 u) can yield a helium nucleus (

step 1 Hi everyone the reaction is given 1h2 plus 1 h2 is equal to 2 h2 is equal to 2 h3 plus 0 and 1 s

E MMH The fusion of two deuterium nuclei ( 1^2 H,. mass...

E MMH The fusion of two deuterium nuclei $\left({ }_{1}^{2} \mathrm{H},\right.$ mass $\left.=2.0141 \mathrm{u}\right)$ can yield a helium nucleus $\left({ }_{2}^{3} \mathrm{He},\right.$ mass $\left.=3.0160 \mathrm{u}\right)$ and a neutron $\left({ }_{0}^{1} \mathrm{n},\right.$ mass $=$ 1.0087 u). What is the energy (in MeV) released in this reaction?

Key Concepts

Mass-Energy Equivalence

This concept, based on Einstein's equation E = mc², states that a change in mass (mass defect) in a nuclear reaction corresponds to an energy release or absorption. It is fundamental to understanding how a small loss in mass during fusion or fission processes can result in a significant amount of energy being produced.

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 has been converted to energy. In fusion reactions, the mass of the resulting nucleus is often less than the sum of the masses of the initial nuclei, and the lost mass determines the amount of energy released.

Nuclear Fusion Process

Nuclear fusion involves the combining of two light atomic nuclei to form a heavier nucleus. The process releases energy if the product nucleus has a lower total mass than the initial nuclei. Fusion is pivotal in contexts such as stellar energy production and controlled fusion research for energy generation.

Atomic Mass Unit Conversion

An atomic mass unit (u) is a standard unit of mass in atomic and nuclear physics, and it is commonly used to express the masses of atomic nuclei. The conversion factor of 1 u = 931.5 MeV/c² allows for direct calculation of the energy corresponding to a mass defect by multiplying the mass difference (in u) by 931.5, yielding the energy in MeV.

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