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A rock was found to have 25 per cent potassium-40 remaining - VCE - SSCE Biology - Question 12 - 2002 - Paper 1

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A rock was found to have 25 per cent potassium-40 remaining. The approximate age of the rock is A. 0.65 million years. B. 1.3 million years. C. 2.6 million years. D.... show full transcript

Worked Solution & Example Answer:A rock was found to have 25 per cent potassium-40 remaining - VCE - SSCE Biology - Question 12 - 2002 - Paper 1

Step 1

Determine the Remaining Potassium-40

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Answer

Given that 25% of potassium-40 remains, this indicates the rock has completed three half-lives of decay, as each half-life reduces the quantity of potassium-40 by half.

Step 2

Calculate the Age of the Rock

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Answer

The half-life of potassium-40 is approximately 1.3 million years. Hence, the total age of the rock can be estimated as follows:

extAge=extnumberofhalflivesimesexthalflifeperiod=3imes1.3extmillionyears=3.9extmillionyears. ext{Age} = ext{number of half-lives} imes ext{half-life period} = 3 imes 1.3 ext{ million years} = 3.9 ext{ million years}.

Step 3

Select the Correct Answer

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Answer

Therefore, the approximate age of the rock is 3.9 million years (Option D).

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