A reasonable estimate is that 1.00  109 tons of natural uranium is available at concentrations exceeding 100 parts per million, of which 0.7% is the fissionable isotope 235U. Assume all the world's energy use (7.1  1012 J/s) is supplied by 235U fission in conventional nuclear reactors, releasing 208 MeV for each reaction. How long would the supply last? (The ton used in this exercise is a metric ton, or 1000 kg.)    please answer in year

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A reasonable estimate is that 1.00  109 tons of natural uranium is available at concentrations exceeding 100 parts per million, of which 0.7% is the fissionable isotope 235U. Assume all the world's energy use (7.1  1012 J/s) is supplied by 235U fission in conventional nuclear reactors, releasing 208 MeV for each reaction. How long would the supply last? (The ton used in this exercise is a metric ton, or 1000 kg.)

 

 please answer in year

Expert Solution
Step 1

The mass of uranium m is given by,

m=1×109×103kg ×0.7100

m=7×109kg 

 

The mass of 1 mol U235=235 grams

Moles of uranium = 7×109×103grams235 grams/mole

Moles of uranium =29.787×109moles

 

The number of nucleus=29.787×109×6.022×1023

The number of nucleus=1.794×1034

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