Answer :

Final answer:

The rock sample is approximately 3.75 billion years old. This estimation is derived from understanding that Potassium-40 decays into Argon-40, and based on the ratio given, three half-lives have passed.

Explanation:

This question pertains to the radioactive decay of Potassium-40 into Argon-40 (Ar-40), which is a key concept in determining the age of rocks. In this context, having a ratio of one part Potassium-40 to three parts Argon-40 implies that three half-lives have passed because with each half-life, the quantity of Potassium-40 reduces by half while the volume of Argon-40 increases. The half-life of Potassium-40 is approximately 1.25 billion years, meaning this rock sample is roughly 3.75 billion years old.

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Thanks for taking the time to read A rock sample has 25 grams of Potassium 40 and 75 grams of Argon 40 How old is the rock sample. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

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