Difficulty: Easy
Correct Answer: 99.29%
Explanation:
Introduction / Context:
Understanding the isotopic composition of natural uranium is foundational for nuclear engineering, fuel-cycle calculations, and reactor physics. Natural uranium is not a single nuclide; rather, it is a mixture dominated by uranium-238 (U-238), with a small fraction of uranium-235 (U-235) and a trace amount of uranium-234 (U-234). Knowing these proportions helps explain why enrichment is required for many thermal reactors and why fertile U-238 plays a major role in breeding reactions.
Given Data / Assumptions:
Concept / Approach:
The accepted textbook composition of natural uranium is approximately U-238 ≈ 99.274–99.284%, U-235 ≈ 0.711–0.720%, and U-234 ≈ 0.005–0.006%. Rounded values often used in entrance exams are 99.29% for U-238 and 0.71% for U-235. These small differences in atomic mass and abundance drive the need for enrichment processes (e.g., gaseous diffusion, centrifugation) to raise the fissile U-235 fraction for most light-water reactors.
Step-by-Step Solution:
Identify typical abundances: U-238 ~ 99.29%, U-235 ~ 0.71%, U-234 ~ 0.005%.Match to options: 99.29% corresponds to U-238's share.Therefore, the correct percentage of U-238 in natural uranium is about 99.29%.
Verification / Alternative check:
Chemical handbooks and reactor physics texts consistently report U-238 at roughly 99.28–99.29% in natural uranium, validating the rounded exam figure of 99.29% as accurate for problem solving and quick recall.
Why Other Options Are Wrong:
0.71%: that is the common figure for U-235, not U-238.0.015%: closer to the trace U-234 content, not U-238.29.71% or 97.00%: inconsistent with well-established natural abundances.
Common Pitfalls:
Swapping the U-235 and U-238 percentages.Assuming mass percentages differ dramatically from atomic percentages; for these isotopes the difference is small.
Final Answer:
99.29%
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