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Some Radioactive Isotopes Useful in Medical ImagingMode of DecayIsotopeHalf-lifeUse in Medical ImagingCarbon-H Fluorine-[8 Phosphorus-32 Chromium-5l Iron-59 Gallium...

Question

Some Radioactive Isotopes Useful in Medical ImagingMode of DecayIsotopeHalf-lifeUse in Medical ImagingCarbon-H Fluorine-[8 Phosphorus-32 Chromium-5l Iron-59 Gallium-67 Sclenium-75 Krpton-8lm Strontium-81 Terchnctium-99m lodine-131 Mercur-197 Thallium-20120.3 109 14.3 27.7 45 78,3 118 d 13.3 22 2 6.01 h 8.01 64.1 3,05Brain scan trace glucose metabolism Brain Ac trace Elucose metabolism Detect eye cUMOI Dingnose albinism, image the spleen and gastrointestinal tract Bone iemd function dingnotr anem

Some Radioactive Isotopes Useful in Medical Imaging Mode of Decay Isotope Half-life Use in Medical Imaging Carbon-H Fluorine-[8 Phosphorus-32 Chromium-5l Iron-59 Gallium-67 Sclenium-75 Krpton-8lm Strontium-81 Terchnctium-99m lodine-131 Mercur-197 Thallium-201 20.3 109 14.3 27.7 45 78,3 118 d 13.3 22 2 6.01 h 8.01 64.1 3,05 Brain scan trace glucose metabolism Brain Ac trace Elucose metabolism Detect eye cUMOI Dingnose albinism, image the spleen and gastrointestinal tract Bone iemd function dingnotr anemina Whole-bod; scan for tumors Pancrens scan Luna vencilation scn Scan for bone discast &. including TnCI Brain, lirer; kidney; bone scans; diagnosis of damged heart muscl Dingnosif thyroid malfunction Kidney Rtnm Heart scan and exercise stress (cst #Cr #Fe KGa 3S 'EKr "Sr "TTc EC_Y EC EC 1 EC; EC;, He 29TL The radioactive isotopc gallium-67 is used in medical imaging as indicatcd on the table above: If 51.0 milligrams of gallium-67 administcred to patient; how many milligrams arc Iclt in the body alcr 156.6 bours? mg



Answers

The following radioactive isotopes are used in medicine for imaging organs, studying blood circulation, treating cancer, and so on. Give the number of neutrons present in each isotope: $^{198} \mathrm{Au},^{47} \mathrm{Ca},^{60} \mathrm{Co},^{18} \mathrm{F},^{125} \mathrm{I},^{131} \mathrm{I},^{42} \mathrm{K},^{43} \mathrm{K},^{24} \mathrm{Na},^{32} \mathrm{P},^{85} \mathrm{Sr},^{99} \mathrm{Tc}$.

So we're giving these various isotopes and we want to identify the number of neutrons. Let's review the fact that, uh, a the mass number is equal to the number of protons plus the, uh, number of neutrons. And so, if we just take that a and subtract the number of protons, then we have the number of neutrons. So that's what we're going to do. We're going to take this. Ah Ah, mass number 1 31 We look up element number. I mean, we look up iodine and find its element number 53 which indicates it has 53 protons. So mass number minus number of protons. Number of neutrons. And the same for each one. Gold is number 79. So mass number 1 98 minus 79. Number of neutrons for potassium. 43. Potassium is Mm. That does not look right. I'm sorry. Yeah, potassium is number 19. You see here And we did have a potassium 43. And let's just do it below. So potassium is number 19. Sorry. Continuing. So cobalt is number 27. The mass number 60 minus 27 gives us 30 30 Florian number nine as number 18 minus nine gives us nine neutrons. I don number 53 uh, mass number 1 25 minus 53 is number of neutrons. Uh, there's there's the potassium 43. I'm sorry. Somehow that got Elektronik. Lee moved. So potassium is number 19. If it's potassium 42 that it's got 23. No, trans. If it's protests him 43 then it's got 24 neutrons. Sodium is number 11 11 protons. Mass number minus the number of protons Gives us the number of neutrons. Uh, boss versus number 15. 30 to minus 15. 17 neutrons. Strong IAM is number 38 38 protons 85 minus 38 47 neutrons. Tikken idiom is number 43 43 protons 99 one is 43 56 neutrons.

So here we're looking at a radioactive decay acre for Tekken idiom 99 we've got a few questions that were asked about it. First is what madness of technology and what we're going to have left after 200 minutes of decay and 400 minutes of decay. So for this plot, we're starting with half a gram. After 200 minutes, we will be here and after 400 minutes we will be here. So everything about port, eh? 200 minutes, we're going to have approximately 0.35 grams. And after 400 minutes, we follow our plot and see what this lines up on our graph. This is gonna be about Europe 10 to 25 grams or so. So the next thing we're has to figure out is the half life of Tekken idiom. To do that, we're going to look at our plot and look where half of our sample decays. Does it actually going to be very close to our 400 minute mark? We walk across with this and then down, we see that are half life is about 375 minutes, which if we divide that by 60 is about 6.25 hours. So finally, for this problem, we're told we given individual a dose of two micrograms of Tekken idiom. Let them set for 10 hours. How much is left over. So the first thing we need to do for this problem is figure out the cake constant. And we just extrapolated from our graph what the half life for this is so we will take 0.693 and divide that by 375 minutes to get 0.1733 for a minute. And now, if we take that value and plug it into our nuclear rate decay equation, we knew they were going to start with two micrograms. That's gonna be equal negative 0.1733 times 10 hours which since rk constant is in minutes, we're going to convert that 10 hours into minutes at 600. So finally, what we get out of this is that the final amount of the sec, Nettie of isotope that'll be left over after 10 minutes if we start with two micrograms is about 0.66 micrograms

This question. The start we are given a passage about how to really um is formed in the nuclear reactor which gives rise to then. I would in to use to treat cancer, thyroid cancer. And they say that the radium 131 is produced from two medium on 30 All right. By irradiation. It's off something. So, we don't know what this thing is. We're going to just call it X. Which which produces the really um 131 without iridium as protons 52 protons. Right? So, I'm gonna write that down now in order to identify this X. We can simply just try to better than the mass number and proton number. They must be conserved on both sides of this equation. This video you must remain the same. So for proton number, they are really the same. So X over here must contribute zero proton number. As for the mass number, right? From 1 30 to 1 day one. It's over here. Mess number must be one. And we know that a particle with 10 a.m. S. Number one proton, um or zero is neutron. Right? So this that's what we're here is e new trump.

Problem 22. The high points on the grab on the graph all correspond respond two element to it. You have an atomic numbers. Okay. Numbers that so stable isotopes, tops of elements, wheat, even numbers. Numbers of protons are are much more abundant. Then I saw tops tops of elements with all the atomic numbers. Okay number two if radioactive, I saw tops of elements elements read order atomic number. Atomic numbers were ones a president. They would have decayed to more decade to more stable nuclear. It's nuclear. It's okay. This is this is we explain the salted variations across the cities. So this is explain explanation for this question.


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