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13 August, 07:32

Rubidium-87 has a half-life of 48.1 billion years. After how many years is there 25 percent parent isotope and 75 percent daughter isotope contained in the object?

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  1. 13 August, 08:48
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    Answer: 96.2 billion years.

    Explanation: Half life of Rubidium-87 = 48.1 billion years

    Half life is the time required to decay half of the radioactive material. Thus if 100 g of sample is present, 50 g of sample remains after half life and 50 g decays.

    For 25 percent parent isotope and 75 percent daughter to remain, means 25 g of parent isotope is present and 75 g of daughter isotope is present.

    This will happen after two half lives i. e 96.2 billion years and after second half life, out of 50 g, 25 g will decay and 25 g will remain.

    Thus total 75 g is decayed as daughter isotope and 25 g remains as parent isotope.
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