physics question 11 hw 24

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A typical nuclear fission power plant produces about 5.17 GW of electrical power. Assume that the plant has an overall efficiency of 40.9% and that each fission event produces 250 MeV of thermal energy. Calculate the mass of 235U consumed each day. Answer in units of kg/d.

Jul 21st, 2015

Thank you for the opportunity to help you with your question!

Energy produced in a day = 5.17*10^9*24*3600J 

Input energy = 5.17*10^9*24*3600/0.409 J

Energy produced per fission = 250*10^6*1.6*10^-19 J 

Hence, number of fission = (5.17*10^9*24*3600/0.409)/(250*10^6*1.6*10^-19) = 2.7303*10^25

a U235 atom weighs:

0.000000000000000000000000390299539 kg

Hence,U235 required = 2.7303*10^25*0.000000000000000000000000390299539 = 10.656kg/day

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jul 21st, 2015

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