Answer to Question #280589 in Atomic and Nuclear Physics for BIGIRMANA Elie

Question #280589

How much energy (in Joules) will be produced on complete fission of 1 kg of Uranium (235U), considering that only 0.1% of mass is converted into energy.



1
Expert's answer
2021-12-16T18:03:42-0500

The mass converted into energy is m=1kg0.001=0.001kgm = 1kg\cdot 0.001 = 0.001kg. Using the energy-mass equivalance, find:


E=mc2E = mc^2

where c=3×108m/sc = 3\times 10^{8}m/s is the speed of light. Thus, obtain:


E=0.001kg(3×108m/s)2=9×1013JE = 0.001kg\cdot (3\times 10^8m/s)^2 = 9\times 10^{13}J

Answer. 9×1013J9\times 10^{13}J.


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