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Consid @rMass soectmomete shown schematicall thc fioure below. The electric Jicla betwecn the Blale: orth c velocry sicctor 925 Vfm; 47d the mdgnetk liGids In bat t...

Question

Consid @rMass soectmomete shown schematicall thc fioure below. The electric Jicla betwecn the Blale: orth c velocry sicctor 925 Vfm; 47d the mdgnetk liGids In bat tnc velodty sclccto dellectian chamber have maanitudcs of 0.925 calculute thc Ndhs olt" putn (c 0 sinaly chdndcd Nen Mass 175 *Fhenter' ~phitUckrn

Consid @r Mass soectmomete shown schematicall thc fioure below. The electric Jicla betwecn the Blale: orth c velocry sicctor 925 Vfm; 47d the mdgnetk liGids In bat tnc velodty sclccto dellectian chamber have maanitudcs of 0.925 calculute thc Ndhs olt" putn (c 0 sinaly chdndcd Nen Mass 175 * Fhenter' ~phit Uckrn



Answers

At least $25 \mu \mathrm{g}$ of tetrahydrocannabinol $(\mathrm{THC}),$ the active ingredient in marijuana, is required to produce intoxication. The molecular formula of $\mathrm{THC}$ is $\mathrm{C}_{21} \mathrm{H}_{30} \mathrm{O}_{2}$. How many moles of THC does this 25 \mug represent? How many molecules? (b) Caffeine, a stimulant found in coffee, contains $49.5 \% \mathrm{C}$, $5.15 \% \mathrm{H}, 28.9 \% \mathrm{~N},$ and $16.5 \% \mathrm{O}$ by mass and has a molar mass of $195 \mathrm{~g} / \mathrm{mol}$. (c) Monosodium glutamate (MSG), a flavor enhancer in certain foods, contains $35.51 \% \mathrm{C}, 4.77 \% \mathrm{H}, 37.85 \% \mathrm{O},$ $8.29 \% \mathrm{~N},$ and $13.60 \% \mathrm{Na},$ and has a molar mass of $169 \mathrm{~g} / \mathrm{mol}$

First of all, let's have a look at what all is given in the problem. It is given that The activity of tetra hydro Sinem beall, which contains 70% of hydrogen atoms. That means carbon atom is 70% of hydrogen atoms. And it has given that hydrogen items is 15 times of oxygen, atom. 15 times of oxygen atom. And it is also given that one g one g contains 0.00318 moles of tetra hydro Kaname Beall. So what we are supposed to find out her, we have to find the molecular formula of the compound. We have to find a molecular formula of the compound. So first of all, let the number of hydrogen atoms react. Let hydrogen atoms equals two X And oxygen atoms equals two wife. So according to the conditions given, we can say that number of carbon atoms is 70% of X 70% of X. And a number of hydrogen atoms is what according to the given conditions, number of hydrogen atom ish 15. My. So this will change to 70% of 15 by so now the number of carbon items will become number of carbon atoms will become 70 502, 15 by so it will be like seven by 10 into 15 by this will be the number of carbon items. No let's tabulate bees for carbon for hydrogen for oxygen atomic ratio is work atomic ratio for carbon, it is seven by 10 to 15. So 5 to 10, 5, threes of 15, it will come around 21 by two For hydrogen at this 15 for oxygen. It is one. Now simple atomic ratios will be 21 30 and two. So from here we can calculator empirical formula empirical formula will be C 21 H 30 or two. This is the m vertical formula. Now it's molecular formula will be its molecular formula will be 10 times of C21 age 30. and go to we can calculate the molar mass from here more landmarks of the compound that is And Times 21 and 2. 12. Flash 13 to 1 Plus 16. In total, this will be the molecular mass. So we will get approximately the Muhlemann z equals two. This will be the molar mass of the molecular formula given now we know that one g contains 0.00318 more. So one mole of compound will have how much we can calculators by cross multiplying So x equals to one and 2. x 0.0031. It This will come around 314.5 g. No, If we make considerate as one and this is to if we create both of these we will get N equals two. We will get approximately equal to 314 and plus 314.5. So we will get the value of an approximately equal to one. Does the molecular formula of the compound ish molecular formula of the compound is C 21 H 30 02. Hence the correct option is option number B, That is C- 21 H- 30 or two.

Yeah. To calculate the mass in grams that correspond to each of these mole quantities, we simply need to know the molar mass. In the case of an element, we go to the periodic table and it's found just below the chemical symbol. The molar mass of iron is 55.845 g per mole. Multiplying this mass value by the moles, moles cancel and we get 11.4 g iron to the three significant figures we started with If we have .79 mold floor een on the periodic table, 18.998 g of Florina is one mole. Multiplying these two numbers together gives us to just two significant figures 15 g Florentine. And if we have 58 moles carbon dioxide multiplying that by the molar mass of carbon dioxide, which is the mass of one mole carbon plus the massive two moles, oxygen given us 44.1 g per mole Gives us to just two significant figures 260 g carbon dioxide. And for the last one we have 48.1 moles potassium chrome eight. The molar mass is going to be the massive two molds, potassium plus the mass of one mole chromium and four moles of oxygen. Given us a total mass of 194 19 g per mole. So 48.1 moles corresponds to to just three significant figures 9340g

So in this problem, we're given that we have a twenty five microgram off Tetra Hydro Can a banal are being C, which is an active ingredient in marijuana, and this is recorded produce intoxication. So this is the mass ofthe DSC, which is required to produce intoxication, and the molecule or formal off its has given us citrine too on his thirty or two. In first part of the question, you have to find out how many malls off T. H. C does this trait of five microgram represent and then we have to find out how many molecules subject etc. Does. This, Trent, if I'm acronym represents so what we have to do first is simply since we have to find out the number of malls off this mass off, etc. First you have to find out the Moler, massive t etc. That means the molar misses the mass contained in one mall. That means from there we can find out how many months is contained in strange if I microgram mess. So from this formula, we can find out on the Moler mass off the sea. My children, since we have carbon carbon, has a more mass of twelve point Oh Won, and we have twenty one carbon here when multiplied by twenty one. Then we have Metro's on which has more elements of one point or eat, and we have her t I'd risen sun multiplied by eight thirty, and then we have to walk season. That means sixteen is the monuments of oxygen and we have to oxygen multiplied by two. And this will give us a value off three one four point four five I, um So this is the two and four point four five gram per mall, and this is the molar mass off. Let's see, That means one more lofty is he will contain through one four point four five gram and then so we can write three one four point four five gram is contained in one multi it. See, that means twenty five microgram, or twenty five times ten to the minus six gram is contained in, um, twenty five times ten to the four minus six over two on four point four five Graham this a gram per mole and it will give us value off seven point nine five times intended to par minus eight more so This is the number of malls that going to find microgram off dates represent. And then we have to find out how many molecules is contained in twenty five macron. And since we have calculated the number of morals, so twenty five microgram TOC, then we know that one mole off any substance contains six point or co times ten to the twenty three molecules. That means from there we can find out how many molecules is contending this much more are twenty five micrograms of hearsay, so one more it's sea contains six point or two times ten to the port twenty three molecules, therefore seven point nine five times during the one minus eight. Here's the contents. Six point oto time stint Report twenty three Time's thiss and this will give us value off for planned seven nine I'm standing. There were sixteen molecules, so this is the number of molecules containing twenty five microgram off, etc.

Okay. So what is given to us is you won 15 92.6 he to 17 89.2. So the formula is m equals two. We do minus one, even minus one over the two minus one. And this is from the calculation that is sample okay we have this. So what we'll do is substitute any close to you do minus one. You don't mind this one or work. You two minus the one. You will get an equal stool 17 89.2 minus one. 15 91 6 minus one. Divided by 17 89 20 of minus 15 92.6. Because if they do 14 312.8. Okay. Moving to be bought. Yeah we know we want physically and plus C over Easy. The one is 15 90.6 and there's 14 312 Let's see for ze. Great. So this will be 15 90.60 equals to four things that we want to plus Z. So this becomes 15 90.6 minus one Z. Because to 14 312 point to eat. Okay, So in this case the Easy, brutal 14 312.8 divided by 15 89.6, which is equal to nine. Okay, so the answer is E. And it was to 14 312.8. Can be is he close to mine?


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