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Problem 7 Easy Difficulty

Assume ordinary soil contains natural uranium in amounts of 1 part per million by mass. (a) How much uranium is in the top 1.00 $\mathrm{m}$ of soil on a 1 -acre $\left(43560-\mathrm{ft}^{2}\right)$ plot of ground, assuming the specific gravity of soil is 4.00$?(\mathrm{b})$ How much of the isotope 235 $\mathrm{U}$ , appropriate for nuclear reactor fuel, is in this soil? Hint: See Appendix $\mathrm{B}$ for the percent abundance of $^{235} \mathrm{U}$

Answer

a) 16.2 $\mathrm{kg}$
b) 0.117$k g$

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Top Physics 103 Educators
Christina K.

Rutgers, The State University of New Jersey

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Liev B.

Numerade Educator

Farnaz M.

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Jared E.

University of Winnipeg

Video Transcript

this question going to find a home any What is demand? So if you're in your 23 fight in the top one meter off the soil with a girl in a specific plot off area to start off were given the specific gravity off the soil to be full. And this tells us that the DST off our soil is for time said our tree K G permit took you. No, I can't find what is d mess right? First, the honesty mess after the soil that it's one meter above ground. So you take testy not by by volume this Tedeschi not of all you have to take one meter as our take off its out death. Sorry that face one meter and the area be four hours 43,560 feet square. But I got a comedy into meter so we got a much pipe. I won over three point to eat one feet per meter and we got a square. This coalition Fekter All right, This will give us in terms off meter square and then multiply it by and death to give us a value should get 1.62 times since about seven k. G. So the esteem Esselte soil. The amount off union in soil. It's one parts per 1,000,000 by this mess so we can find why Statements off uranium, that is one putt in a 1,000,000 multiplied by the mess off our soil. Get 16 points. Two kilograms finally. Gonna find What is the amount for the isotope uranium? To be five. No urinal to tree Fife is actually only 0.72%. Right, So you're going 72% off all the naturally occurring uranium. So what we have to do is to multiply by is your 0.72% not by the mess off uranium to get wasted minutes off led to 35 isotope uranium 25 isotope. That that would be your 0.117 Katie

National University of Singapore
Top Physics 103 Educators
Christina K.

Rutgers, The State University of New Jersey

LB
Liev B.

Numerade Educator

Farnaz M.

Other Schools

Jared E.

University of Winnipeg