High School

Naturally occurring uranium contains 0.72 percent of the isotope uranium-235. What is the mass of uranium-235 in 2,000 kg of naturally occurring uranium?

Answer :

Final answer:

In 2,000 kg of naturally occurring uranium, there would be 14.4 kg of the isotope Uranium-235, considering its natural proportion of 0.72% within uranium.

Explanation:

To calculate the mass of Uranium-235 in 2,000 kg of naturally occurring uranium, one needs to consider that only 0.72% of this mass is Uranium-235. Therefore, the mass of Uranium-235 can be found by multiplying the total mass by 0.72%, or 0.0072: 2,000 kg * 0.0072 = 14.4 kg.

The natural proportion of Uranium-235 is relevant in nuclear technology, as this is the isotope used in many types of nuclear reactors and nuclear weapons. It is also noteworthy that uranium is enriched to increase the proportion of Uranium-235, to better utilize the resource for energy production or weaponry.

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