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advanced-mathPlutonium-238 has a half-life of 88 years. If 200 grams decay to 25 grams, how much time has passed?
A
264 years
B
176 years
C
88 years
D
352 years
Correct Answer: A
Choice A is the correct answer. Determine the number of half-lives.
- Remaining: .
- Half-lives: 3 half-lives have occurred.
- Time: years.
💡 Strategic Tip: means 3 halvings: .
Choice B is incorrect because this is 2 half-lives (would leave 50 grams). Choice C is incorrect because this is 1 half-life (would leave 100 grams). Choice D is incorrect because this is 4 half-lives (would leave 12.5 grams).