Suppose that the average power consumption per year in a typical house is 315 W. What initial...

Question:

Suppose that the average power consumption in a year in a typical house is 315 W. What initial mass of {eq}\rm _{\ \ 92}^{235}U {/eq} would have to undergo fission to supply the electrical needs of such a house for a year? (Assume 200 MeV is released per fission. The Avogadro number is {eq}6.02 \times 10^{23} {/eq}.)

Radioactivity and Electricity

According to the Einstein quantum theory, the energy of the undergo fission to supply the electrical needs of such a house for a year is dependent on the mass and square of speed of light and we get to calculate the amount of mass in fission reaction. However, to calculate the energy needed we need to multiply the power with time (E = P . t).

Answer and Explanation: 1

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Energy needed (E = P . t):

{eq}315J/s\times 365days\times 86400s/day = 9.93\times 10^{9} J {/eq}

Energy released per fission:

{eq}200Mev\times...

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Radioactive Elements & Decay | Overview & Examples

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Chapter 3 / Lesson 12
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