Answer :
Final answer:
a) The mass of uranium that produces the same energy as 1.4 metric tons of coal is 0.007 kg.
Explanation:
To find the mass of uranium that produces the same energy as 1.4 metric tons of coal, we can set up a proportion using the given energy values:
(Mass of Uranium) / (Energy produced by Uranium) = (Mass of Coal) / (Energy produced by Coal)
Plugging in the values:
(Mass of Uranium) / (208 MeV) = (1.4 metric tons) / (3.3 x 10^10 J)
Cross multiplying and solving for the mass of uranium:
(Mass of Uranium) = (208 MeV) * (1.4 metric tons) / (3.3 x 10^10 J)
Calculating:
Mass of Uranium = 0.007 kg
Therefore, the mass of uranium that produces the same energy as 1.4 metric tons of coal is 0.007 kg.
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