According to one estimate, there are 4.35 x 10° metric tons of world uranium reserves extractable at $130/kg or less. About 0.7% of naturally occurring uranium is the fissionabl (a) Calculate the mass of 235U in this reserve in grams. (b) Find the number of moles of 235U and convert to a number of atoms. mol atoms (c) Assuming 208 MeV is obtained from each reaction and all this energy is captured, calculate the total energy that can be extracted from the reserve in joules. (d) Assuming world power consumption to be constant at 1.52 x 1013 J/s, how many years could the uranium reserves provide for all the world's energy needs using con

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According to one estimate, there are 4.35 × 10° metric tons of world uranium reserves extractable at $130/kg or less. About 0.7% of naturally occurring uranium is the fissionable isotope
235U.
(a) Calculate the mass of 23³U in this reserve in grams.
(b) Find the number of moles of 235U and convert to a number of atoms.
mol
atoms
(c) Assuming 208 MeV is obtained from each reaction and all this energy is captured, calculate the total energy that can be extracted from the reserve in joules.
(d) Assuming world power consumption to be constant at 1.52 x 10-3 J/s, how many years could the uranium reserves provide for all the world's energy needs using conventional reactors that
don't generate nuclear fuel?
yr
(e) What conclusion can be drawn?
Transcribed Image Text:According to one estimate, there are 4.35 × 10° metric tons of world uranium reserves extractable at $130/kg or less. About 0.7% of naturally occurring uranium is the fissionable isotope 235U. (a) Calculate the mass of 23³U in this reserve in grams. (b) Find the number of moles of 235U and convert to a number of atoms. mol atoms (c) Assuming 208 MeV is obtained from each reaction and all this energy is captured, calculate the total energy that can be extracted from the reserve in joules. (d) Assuming world power consumption to be constant at 1.52 x 10-3 J/s, how many years could the uranium reserves provide for all the world's energy needs using conventional reactors that don't generate nuclear fuel? yr (e) What conclusion can be drawn?
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