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Jan Willem Storm van Leeuwen and Philip Smith predict that the energy const of mining Uranium is given by the formula:
Energy Cost = (Constant * Mass of Uranium)/(percentage Uranium concentration in Ore * yield of mine)
From a selection of analyses of Uranium mines employed in the 1970's they choose data that give this Constant = 0.654 GigaJoules per Kilogram produced.
Rossing produces around 3000 tonnes of Uranium in a year = 3.0x10
6 Kilograms
Uranium Concentration in Rossing Ore = 0.03%
SLS predict Yield = 0.8 for an Ore concentration of 0.03%
So they predict:
Energy Cost = (0.654 x 3x10
6)/(0.8*0.03) = 8.3x10
7 GigaJoules per year to mine 3000 tonnes of uranium.
Energy Produced by 1 GigaWatt Power plant for 1 year = 1 x 365 x 24 x 60 x 60 = 3.1x10
7 GigaJoules
So predicted energy cost = 8.3x10
7 / 3.1x10
7 = 2.6 GigaWatt - Years
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