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Problem 11 Easy Difficulty

An all-electric home uses approximately $2.00 \times 10^{3} \mathrm{kWh}$ 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 $\mathrm{MeV}$ released per fission.

Answer

1.01 $\mathrm{g}$

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Top Physics 103 Educators
Elyse G.

Cornell University

Andy C.

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Video Transcript

The first step for this question will be to find modesty. Totally. Did she require for this household for a year? And that would be taking the energy required per month, multiplying it by trough. So the argument is to Tarleton cure what all us put one. We're gonna want to play that by true. And since this is in terms off killer hours, maybe more conveniently kind of confident into sa units, which is juice. So recovery from killer always to juice. We multiply that by 3.6 times £10.6 juice per kilo and we get 8.64 I understand power 10 juice. So there's the energy required From this, we can calculate what is the number of fishing reactions that is your quiet by taking the total energy dividing by t and she perfect should reaction an energy proficient reaction is 200 eat. And maybe now we have to convert the units to be the same. So what we do you multiply by 0.6 times 10 power minus 13 juice per MTV to convert the denominator into juice so you can compare right between the two should get 2.6 content. 21. So this Inam off fission events, efficient reactions. They need to occur. And it also tells us the number off uranium to 35 days required. I seems each reaction actually takes up one uranium to 35 UK. So so one reaction. Yes. He couldn't toe one Iranian. 235 So this is also equals to the total number of uranium into a tree fight. Quite no. We can get honesty. Miss off Urania 235 days required. Take he total number divided by avocados number. And it's 6.0 to 2 time said politics tree And this will give us the number of most very Multiply that by t all a mess which is 23 5 grams purple. It gets 1.1 grips. So this team s quiet to poverty house for a year

National University of Singapore
Top Physics 103 Educators
Elyse G.

Cornell University

Andy C.

University of Michigan - Ann Arbor

Marshall S.

University of Washington

Farnaz M.

Other Schools