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Natural uranium is 0.7200% ²³⁵U and 99.27% ²³⁸U. What were the percentages of ²³⁵U and ²³⁸U in natural uranium when Earth formed 4.5×10⁹ years ago?

a) 0.7200%, 99.27%
b) Varying percentages
c) 0.7202%, 99.25%
d) 0.7000%, 99.30%

User ByteMe
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1 Answer

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Final answer:

The percentages of ²³⁵U and ²³⁸U in natural uranium when the Earth formed 4.5×10⁹ years ago were 0.7202% and 99.25%, respectively. The correct option is c).

Step-by-step explanation:

Natural uranium is composed of 0.7200% ²³⁵U and 99.27% ²³⁸U. To determine the percentages of these isotopes when the Earth formed 4.5×10⁹ years ago, we need to consider the half-lives of the isotopes. The half-life of ²³⁵U is 7.04×10⁸ years, while the half-life of ²³⁸U is much longer at 4.47×10⁹ years.

Since the Earth formed 4.5×10⁹ years ago, the proportion of ²³⁵U would have decreased due to its shorter half-life. Therefore, the percentage of ²³⁵U in natural uranium when the Earth formed would have been lower than 0.7200%.

On the other hand, the longer half-life of ²³⁸U means its percentage in natural uranium would have remained relatively stable over time, so it would still be close to 99.27% when the Earth formed.

Therefore, the correct answer is c) 0.7202%, 99.25%.

User Ben Ylvisaker
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