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Use Einstein’s mass–energy equivalence relationship ?=??2 to calculate the energy released by processes in which mass is converted to energy
The Energy released when mass is converted to energy, is given by the equation: E = mc2
– production of energy by the sun
- Energy production in the sun happens through nuclear fusion
- The light atoms such as hydrogen get fused to form a heavier atom.
- The difference in mass between the initial atoms and final product gets converted to energy according to the equation E = mc2
– particle–antiparticle interactions, eg positron–electron annihilation
- When particles interact with their antiparticles, they get annihilated.
- This results in the complete conversion of mass of the original particles to some form of energy.
- Eg – electrons and positrons get annihilated to form photons.
- e– + e+ -> y + y
- e– : electron
- e+ : positron
- y : photon
– combustion of conventional fuel
- combustion of conventional fuels mostly release energy due to chemical changes
- For example, burning about 3kg of gasoline releases about 132 million joules of energy,
- This energy if converted to mass will be 14 ng of mass.
- Thus by losing only 14ng of mass (a negligible amount), it is able to produce 132 million joules of energy.
Extract from Physics Stage 6 Syllabus © 2017 NSW Education Standards Authority (NESA)