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What is the percentage of ""(92) U ^(23...

What is the percentage of ` ""_(92) U ^(235) ` in `""_(92) U ^(238)` ?

A

`0.2`%`

B

`0.7%`

C

`98%`

D

`100%`

Text Solution

AI Generated Solution

The correct Answer is:
To find the percentage of Uranium-235 (U-235) in Uranium-238 (U-238), we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Composition of Natural Uranium**: Natural uranium consists of two main isotopes: Uranium-235 (U-235) and Uranium-238 (U-238). 2. **Identify the Percentage of U-235**: It is known that natural uranium contains approximately 0.7% of U-235. This means that out of every 100 parts of natural uranium, 0.7 parts are U-235. 3. **Identify the Percentage of U-238**: Since U-238 is the other isotope present in natural uranium, the remaining percentage will be U-238. Therefore, U-238 constitutes approximately 99.3% of natural uranium. 4. **Calculate the Percentage of U-235 in U-238**: To find the percentage of U-235 in U-238, we can use the following formula: \[ \text{Percentage of U-235 in U-238} = \left( \frac{\text{Percentage of U-235}}{\text{Percentage of U-238}} \right) \times 100 \] However, since we are looking for the percentage of U-235 in the context of U-238, we can directly state that U-235 is 0.7% of the total natural uranium. 5. **Final Answer**: The percentage of U-235 in U-238 is 0.7%. ### Conclusion: The percentage of Uranium-235 in Uranium-238 is **0.7%**.
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