An all-electric home uses approximately 1910 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 MeV released per fission.

Respuesta :

Answer:

U235 -  968 mg required

Explanation:

given data

electric energy Ee = 1910 kWh per month 1910 ×12×3.6×[tex]10^{6}[/tex] = 8.25 ×[tex]10^{10}[/tex]  J

conversion efficiency = 100%

fission energy Ef = 208 MeV  = 3.33 ×[tex]10^{-11}[/tex] J

to find out

How much uranium-235  required

solution

we find no of fission required for U235 that is

no of fission  = Ee/ Ef

no of fission = [tex]\frac{8.25*10^{10}}{3.33*10^{-11}}[/tex]

no of fission = 2.48 ×[tex]10^{21}[/tex]

and

mass =   [tex]\frac{2.48*10^{21}}{6.023*10^{23}}[/tex] × 235  gm

we know avogadro no is 6.023 ×[tex]10^{23}[/tex]

mass = 968 mg

so that 968 mg required