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A compound consists of $37.5 % mathrm{C}, 3.15 % mathrm{H}$, and $59.3 % mathrm{~F}$ by mass. When $0.298 mathrm{~g}$ of the compound is heated to $50 .{ }^{circ} m...

Question

A compound consists of $37.5 % mathrm{C}, 3.15 % mathrm{H}$, and $59.3 % mathrm{~F}$ by mass. When $0.298 mathrm{~g}$ of the compound is heated to $50 .{ }^{circ} mathrm{C}$ in an evacuated $125-mathrm{mL}$ flask, the pressure is observed to be $750 . mathrm{mm} mathrm{Hg}$. The compound has three isomers.(a) What is the molar mass of the compound?(b) What are the empirical and molecular formulas of the compound?(c) Draw the Lewis structure for each isomer of the com-pound.

A compound consists of $37.5 % mathrm{C}, 3.15 % mathrm{H}$, and $59.3 % mathrm{~F}$ by mass. When $0.298 mathrm{~g}$ of the compound is heated to $50 .{ }^{circ} mathrm{C}$ in an evacuated $125-mathrm{mL}$ flask, the pressure is observed to be $750 . mathrm{mm} mathrm{Hg}$. The compound has three isomers. (a) What is the molar mass of the compound? (b) What are the empirical and molecular formulas of the compound? (c) Draw the Lewis structure for each isomer of the com- pound.



Answers

Determine the empirical formula for the compound represented by each molecular formula.
a. N2O4
b. C5H12
c. C4H10

Solution for but is different. Compute the bull killer Maas Off the in vertical formula Formula a more killer Samona is always ah whole number. Most people. Oh, the I am very good formula. Do you fight the more killer Moreland must buy the M very girl Moller Muss toe, Get this hole number. Then multiply these sub scapes off the and very good formula by in in order do up then the molecular formula. So we hear for in due to their 0.107 grand per moon less nine into 1.0 se 19 graham. But more is equal to 57 point 1139 from Baltimore. So in is it will do 11 for going do do drum. But Ammon, divided by 27 0.1139 grams per mole is it will do do dear for the more killer formula. He's I see it. It's 18 solution for part B in Steptoe Barbie again by applying the same met word Compute the molecular mass off the empirical formula. So a multitude of formula is always ah whole number multiple off the empirical formula divide the more cooler for Mullah You divide the mold killer for Mullah divide the molecular Moeller must by the American Muller must to get this whole number. Then multiply D sub scripts off the empirical formula by in in order to obtain the molecular formula. So we have values, dwells wealth, bind digital ones, you know, seven that, uh, but a more plus 35.453 graham were more is equal to 47 point 4634 ground Permal. So an easy quit do toe 84 point 77 drum Permal do I did way 47 point 46 34 but but Would is equal to six So six into one Gurban at a musical to six carbon atoms in six in tow. One chlorine atom is equal to six Chlorinate um dear for dear forward that more cuter formula E's c six c l six and solution far But see stick three, But see again implying the same it heard Compute the molecular mass off the empirical formula. A molecular formula is always a whole number multiple off the empirical formula divide team all killer Moeller must by the empirical Muller must to get this whole number multiplied. A sub stepped off the empirical formula by end in order to obtain the molecular formula. So behave three in do veg planed zero 107 g per mole less two into 1.79 drunk for more less for doing 0.20067 ground but more is equal to 52 point 05 46 Bram Berman and is equal to 312 Why in 29 Grandpa World divided body you do find 05 46 Good on, but award is equal to six. So six into three government is equal to 18. Calvin ETA six. Into through hydrogen, 12th. Carbon it on six into one. Nitrogen is equal to six nitrogen atoms. So dear for dear. For the mole killer for Mullah from Realty's C 18 it's 12 in six

Okay, so the sub script in the molecule formula off a substance are always the bowl number multiplies this off script in the empirical formula. Using this The empirical formula given his ch two on the molar mass is 84 grams. The empirical formula is this. Some off atomic beats off atoms in the compound. So the empirical formula V eight will be 14. That is 12 for carbon and one for hydrogen de Voll. Number multiple is six. So my deep link the empirical formula with six give us the molecular formula as C six extra for compound to be. We have the molecule. We have the empirical formula as image to seal on the molar mass as 51.5 grams. The mask off empirical formula alone is 51.5. Atomic wants unit on de Voll number multiple is also one hands. Nothing will be changed in this option. The empirical formula is seen as the molecule of formula

So this question is all about empirical formulas and then calculating a molecular formula from them. In every single portion of this question were given percent composition values, which is great because it's just like being given massive in the first compound, we are given Carbon at 92.3%. So you can think of carbon and I'm going to do it for this one alone, 92.3 grams of carbon in 100 g of our compounds. Okay, so really we can think of this as point 9-3 g of carbon. And that's how I'm going to look at them from now on. I'm gonna divide every percentage by 100 and use that as my mass. So one mole of carbon over its molar mass Of 12.1. This gives me .0768 moles. Now, every time we're doing an empirical formula problem, we have to convert each element into moles so that we can find a mole ratio. Once you have them all in moles, find the smallest one and divide your number of moles by that smallest value to get the ratio. So that's carbon. The next one is hydrogen. So for hydrogen, I'm going to do .077 g. I just took the 7.7% and divided it by a 100 one mole of hydrogen is 1.1 g. This gives me .0762 walls of hydrogen. They're both pretty close. So when we divide these, I'm going to divide by the smaller one, which is the hydrogen. This is going to give me one and I do this division. I'm really going to get a one here as well. That means that my empirical formula is going to be ch to find the molecular formula. We're going to take the molar mass of the compound which they told us was 104. And I'm going to divide that by the molar mass of the ch This is 13.1. So I'm going to divide this here Based on their rounding, you could probably just divided by 13. This is going to give you eight which means I have eight empirical formulas in this molecular formula. So the molecular formula has to be C8 H eight. We're going to do the same thing for each of these. They'll get easier as we go in b we have 49.5% carbon. So I'm going to change that 2.495 g of carbon. We're gonna divide that by the molar mass of carbon, which is 12.1 g per mole. That gives me .0412 malls carbon. Next up is hydrogen .05 15 g divided by Mueller mass of 1.1 Gives me .0510 moles of hydrogen .289 grounds divided by 14.1 for the mass of nitrogen Gives me a .0206 And the last 1.165 g of oxygen divided by 16 grounds for mole Gives me .01 03. So, we're going to look at these. The smallest value here is the oxygen. So, I am going to divide Each of these by .0103. And they come out pretty darn close to whole numbers. So I rounded them all to the whole number. This gives me an empirical formula of C four H five N 20. Because all of these numbers become my sub scripts. Okay, now it tells us that the molecular formula has a mass Of 195. So, I'm going to take that 100 95 and divide by the molar mass of this compound. So 12.1 times four plus 1.1 times five plus 14.1 times two plus the 16 from oxygen Gives Me 97.11. And this rounds to the whole number of two. Which means I have to empirical formulas in my molecular formula. So the molecular has to be Times to see eight H 10 N 402. All right, we have one more. It's a little longer. Just because it has more elements. But the concept is the same and it's no more difficult. Just like the So for carbon we have .35 51 g. I'm going to divide that by our molar mass Gives me .02956. Then we have hydrogen .0477, Divided by 1.1 Gives me a .0472 moles of hydrogen. Next up is oxygen .3785, divided by 16 Gives us .02366. And we have nitrogen .08 29, divided by the mass of nitrogen of 14.1 Gives me .005 92. And then for the last one we have .1360 Divided by 22.99. The mass of sodium, Which also gives me a .00592. So we're going to divide all of these. 5.00592. Yeah, For carbon that gives me five For Hydrogen, it gives me four. Oops, for oxygen. This gives me, oops, I'm miss copied. It was five for carbon. When we do the second Set of Math, That's eight. Then we get four. It would help fucking copy Divide This one by basically itself. We get one Divide The last one by itself. We got one which means my empirical formula is C five H eight oh four and N A. Just in the order that they gave us the the elements they give us An empirical sorry, a molecular formula mass of 169. The mass of this compound is 1 69.13. If you add them all up, Which means this is 1- one. And so this formula is both empirical and molecular.

Right. So the winter's office question is Teoh, Right under presidents, competition of feature of the hot apps like those and ah, divided by the atomic masses. 12 for cover and walk away. Really? Until 5.5 going and 16 for oxygen. And then we have ah days. This number's off here. So they would define true about the smallest number. Which is there a point later in this case, that's why would invite revise their open territory and this will be won't give us one by 452.2212 and one. Joe, you can watch a play true by 1.37 Just have whole number for everything. So we have to find their two point around 1137 But things still doesn't have a So if we have the total percent, you should give us 100. So let's see what we have here. So yeah, 1.45 to 14.52 wants 1 23 or 64 13 lost 10.35 So this is 94% and told her so something is missing. Look, um yeah, something that's missing so correct days. I would think there's rest of the 6%. She did go to carbon for these questions in excess. Well, 6%. So don't make coming to 20 2025 to percent. So if we divide that by 12 What we have trying to find five to divide my trough will give us Won't 0.71 So what? By 71 and then want by several one divided by point. It's three. Well, keep us, uh, 2.6 So we don't She'll need you much live by 1.5 story. So Well, something is strongly this question. First, this did not hot up. It should give us 100%. And, uh, we have, uh, um former left early. Really? Uh, chloral hydrate should be C two his three cr three old to. So something is wrong with this question. Like you can see, we should have 100% while we often under 4%. So this question is not correct.


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