107 775
Assignments Done
100%
Successfully Done
In July 2024

# Answer to Question #160181 in Electrical Engineering for Keleko

Question #160181
An all-electric home uses approximately 2000KWh of electric energy per month. How much uranium-235 would be required to provide this house with its energy needs for one year? Assume 100% conversion efficiency and 208 MeV released per fission.
1
2021-02-25T04:07:45-0500

Convert 2000 kW·h to J:

"E=2000\u00b71000\u00b73600=7.2\u00b710^9\\text{ J}."

Find how many fissions (uranium atoms) can provide this amount of energy:

"n=E\/E_U=\\frac{7.2\u00b710^9}{208\u00b71.6\u00b710^{-13}}=2.16\u00b710^{20}\\text{ fissions}."

One uranium-235 weighs 235·1.66·10-27 kg. So, the number of fissions we found above corresponds to the following mass of uranium:

"M=nm=2.16\u00b710^{20}\u00b7235\u00b71.66\u00b710^{-27}=8.43\u00b710^{-5}\\text{ kg}."

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!