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College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000

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BuyFindarrow_forward

College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000
Textbook Problem

In a 3 × 10 9 −year−old rock that originally contained some 238U, which has a half−life of 4.5 × 10 9 years, we expect to find some 238U remaining in it. Why are 226Ra, 222Rn, and 210Po also found in such a rock, even though they have much shorter half−lives (1600 years, 3.8 days, and 133 days, respectively)?

To determine

That R226a , R222n , and P210oalso found in such a rock, even though they have much shorter half-lives (1600 years, 3.8 days, and 138 days, respectively), in a 3×109 -year-old rock that originally contained some U238 , which has a half-life of 4.5×109 years, we expect to find some U238remaining in it.

Explanation

Concept Used:

Half-life and activity.

The basis is directly from the uranium and thorium in the earth's crust stems of the radon and the thoron and within few meters of the ground of the earths surface their decay product is distributed within few minutes. As the concentration depends upon parent isotopes that are being formed immediately isotopes for the production of radon, thoron and actinium.

As the most commonly used isotopes of radon are found in environment as they continuously produce from the decay of longer live nuclides that are found in uranium, actinium and thorium. Once they are formed in rocks as well as in the soil particles therefore the radon atoms should have reach in the air before just being transported in the atmosphere of the soil capillaries through the process of pressure induced flow or diffusion. As U238 also undergo nuclear fusion, because of alpha decay of U238elements like R226a , R222n , and P210oare formed. That is why we are finding R226a , R222n , and P210oin such a rock

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