Einstein's mass-energy equation is E=mc 2 , where mass is in kilograms and the speed of light is 3.00×108m/s. The unit of energy is the joule (4.184J=1cal;1000cal=1kcal,1J=1kg⋅m2/s2). 1) Calculate the energy released, in calories, when 1 g of matter is converted to energy, then calculate the energy released, in kilocalories, when 1 g of matter is converted to energy.

Einstein's mass-energy equation is E=mc 2 , where mass is in kilograms and the speed of light is 3.00×108m/s. The unit of energy is the joule (4.184J=1cal;1000cal=1kcal,1J=1kg⋅m2/s2). 1) Calculate the energy released, in calories, when 1 g of matter is converted to energy, then calculate the energy released, in kilocalories, when 1 g of matter is converted to energy.

Astronomy

1st Edition

ISBN:9781938168284

Author:Andrew Fraknoi; David Morrison; Sidney C. Wolff

Publisher:Andrew Fraknoi; David Morrison; Sidney C. Wolff

Chapter16: The Sun: A Nuclear Powerhouse

Section: Chapter Questions

Problem 32E: Assume that the mass of the Sun is 75% hydrogen and that all of this mass could be converted to...

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Assume that the mass of the Sun is 75% hydrogen and that all of this mass could be converted to energy according to Einstein’s equation E=mc2 . How much total energy could the Sun generate? If m is in kg and c is in m/s, then E will be expressed in J. (The mass of the Sun is given in Appendix E.)
On Dec 5, 2022, scientific history was made at the Lawrence Livermore National Laboratory (LLNL) in Livermore, California when nuclear fusion was achieved when the 192 lasers deposited about 2 Megajoules (MJ) of energy into a frozen pea sized deuterium-tritium pellet and ignited the pellet through nuclear fusion to release 3 MJ of energy. The metric prefix mega means million (10^6). a) How much mass (kg) would be required to release 1 MJ of energy?
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