Use Einstein’s mass–energy equivalence relationship ?=??2 to calculate the energy released by processes in which mass is converted to energy

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)