Answer :
The decay of 450,000 kg of Uranium-235 can produce approximately 3.7 x 10²⁰ J of energy.
The decay of uranium-235 produces an enormous amount of energy.
The atomic mass of uranium-235 is 235 g/mol. Its half-life is 703.8 million years. It decays into thorium-231 and alpha particles.
To find out the amount of energy produced, we'll need to use the equation: E = mc², where,
E is the energy produced, m is the mass of the substance, and c is the speed of light (3 x 10⁸ m/s).
To calculate the amount of energy produced, we need to convert 450,000 kg of uranium-235 into grams:
= 450,000 kg x 1,000 g/kg
= 450,000,000 g
Next, we'll need to calculate the number of moles of uranium = 235:450,000,000 g / 235 g/mol
= 1,914,893.62 mol
Finally, we can calculate the energy produced: E = mc²
E = (1,914,893.62 mol) x (235 g/mol) x (3 x 10⁸ m/s)²
E = 3.7 x 10²⁰ J
Therefore, the decay of 450,000 kg of Uranium-235 can produce approximately 3.7 x 10²⁰ J of energy.
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