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Which of the following aqueous solutions has the largest molality of benzoic acid (C 6H 5COOH)?Correct AnswerA) 3.5 m C 6H 5COOHB) mole fraction, X = 0.050 C 6H 5CO...

Question

Which of the following aqueous solutions has the largest molality of benzoic acid (C 6H 5COOH)?Correct AnswerA) 3.5 m C 6H 5COOHB) mole fraction, X = 0.050 C 6H 5COOHIncorrect ResponseC) 2.50 mass % C 6H 5COOHD) 3.2 g C 6H 5COOH in 650. g of H 2OE) 1.5 moles C 6H 5COOH in 65.0 moles of H 2O

Which of the following aqueous solutions has the largest molality of benzoic acid (C 6H 5COOH)?Correct AnswerA) 3.5 m C 6H 5COOHB) mole fraction, X = 0.050 C 6H 5COOHIncorrect ResponseC) 2.50 mass % C 6H 5COOHD) 3.2 g C 6H 5COOH in 650. g of H 2OE) 1.5 moles C 6H 5COOH in 65.0 moles of H 2O



Answers

Calculate the molality of each of the following solutions: (a) $8.66 \mathrm{~g}$ benzene $\left(\mathrm{C}_{6} \mathrm{H}_{6}\right)$ dissolved in $23.6 \mathrm{~g}$ carbon tetrachloride $\left(\mathrm{CCl}_{4}\right)$ (b) $4.80 \mathrm{~g} \mathrm{NaCl}$ dissolved in $0.350 \mathrm{~L}$ of water.

And this problem were asked to calculate morality given mass of a Salyut in a solvent. Recall that the formula for morality is also Salyut divided by kilograms of solvent. Okay, so our Salyut in this case is benzene. And so we need moles of the salute that we need the moment mass. So we're going to start by taking the mess. All right. Taking the mass 8.66 grams of benzene and dividing by the molar mass people at your period table, you'll find that it's 78 points 11 grams for everyone, more benzene. And so moles of benzene is equal to zero point 111 most of C 686 Now we're gonna use that information. And also, uh, before we use that information, we're gonna find kilograms of solvent. So here's my This is my solvent, the carbon tetrachloride. For that, we need kilograms. So because there's 1000 grams in one kilogram, we're gonna divide 23.6 5000 to get to get 0.0 236 kilograms O c c o for okay. And now we can plug into her formula and find that the morality is 0.111 Moss divided buys Europe 10236 kilograms. This will give us 4.70 moles for every kilogram, which is also equal to 4.70 mole ao and again, our Saul you is benzene. So this is the morality of the vents in carpets and record in part be very similar. Um, we're given massive Salyut and the same volume of of ah, solvent. So let's start with the Salyut. So the salyut we need in molds. So we're gonna take our 4.8 grants of sodium chloride and again divided by the mass. Use your period table to find that the molar mass of sodium chloride is 58.44 grams for everyone more. That gives us 0.8 to 1. Oh, most of sweet and chlorine. Next, we're going to deal with the water now here. We're not giving volume. We're not we're not given forgiven volume were not given mass. And so we have to use the fact that the density of water is one gram for every Miller leader or one kilogram for every leader, which means that if I have 0.35 cheerleaders, I have, um I have 0.350 kilograms, so I have 0.350 kilograms of age, too. So again, I'm gonna use this information and plug into my morality formula. So I have zero 0.8 to 1. Moles of sodium chlorate in 0.350 kilograms of solvent. Kathleen says that's equal to 0.235 This is Mel's for every kilogram. Also known as Mullah al sodium chloride. If you're gonna read that, that reads 0.235 Allow are the units of morality.

Let's remember morality is basically the number of malls off my soldiers over how the weight off my solvent, in other words, are the mass of my solve it. In other words, how much malls are there in one year ago? My solve it So for a party to determine the number of Moore's, you first need to determine the molecular mass of HCL, which is atomic mass off C l plus that of hydrogen. Then the number of more just basic clear. The mass over is analytically rate. One Sri I given the mess is 1 74 grounds over 36.5 grams per mole. As you could see the grand scans a lot and I'm left with 4.77 volts. Afterwards, A Z said. To complete the morality, I divide the malls by the volume of the solution in greeters and so 4.77 morals over I'm given the volume to be 757 milliliters, which is 4.757 liters. So I get 6.3 continents are sorry I'm given the mass off my solvent to be all 0.75 to be 757 grams, which is a 7570.757 kilograms. So what? I get six point through you Moors. I killed him. I'll do the same thing for Barb. You. So for part B, my, I'm really read. Basically, I have 10 atoms of carbon Depends on the atomic masses. 12. Andi, I'm gonna add it to eight for hydrogen and I get 1 28 on the units. ICANN's remote so the number falls is basically the mass over. My particular rate on the mass is given a 16.5 grams over 1 28 grams paroled. And so I get 0.1 to 89 rules. Finally, morality is the number falls my soldiers over the mass of my solvent. So I get a 0.1 to 89 months over. And now I'm given my mask myself it at 53.3 grounds, which when I convinced two kilograms, it's go 0.533 kilograms. Eso This is to a point or two. Great

And the question we have given the majority calcium chloride. There it is 1.30 more, but like from the majority way we can get the information. We're moderate. Is the number of moles part while human later. So the number of moles off the salute is 1.30 more, while the solution volume is one. Later we have asked to change the modularity into more ability. So we have given the density of fusion. There it is 1.11 three kilogram. But later no, we have find the mass up the solution w one which will be equal toe the 10 30 multiply their densities one point 13 kilogram per later while the volume is one later. So the weight of the solution is approximate density. That is one point one 13 g killer. So we have the formula for the mobility which is equal to number up. Moles, absolute divide, wait up solution and kilogram. So the number of moles absolutely 1.30 more while the weight absolution is 1.113 kill over. So we find the mobility off the calcium chloride, which is equal toe one point zero 51 three more parking. You can simply concluded from the question that the mobility up the solution is given tow, small ability, divided by the density illusion. So in the next calculation, we will use this simple formula. Modernity is equal toe more, more ability is even more the density. So we have also given the moderately off actors which is equal toe 2.20 morning. The density of the solution is 1.139 gram per ml are kilogram per letter. We have given it in the Grandpa M, but we can also write and kill, but later So the mobility half the solution will be equal to the modularity divide by intensity. Using that off So majority is 2.20 while density is 1.139 kept the answer. There it is 1.93 More. Similarly, we have also given the majority up a highly glycol which is equal toe eight point nine for 3.9 more. The density of the solution is equal toe 1.69 gram per ml are we can write directly in kilogram like so the mobility will be equal toe more little t density. So the majority is 8.9, while the density is 1.69 You get the answer that is equal toe point three Prue five five like and the next proportion we have given the maturity given the moral authority off the lithium chloride moderate is equal toe 1.9 say one morning the density of the solution 1.46 toe. Find the mobility of lithium chloride. We will divide its modernity by 10. So dividing 1.97 by 1.46 we get the more ability which is equal toe one point a age more We have calculated the mobility um chloride, the mobility it I link. Like all and more those solutions Israel is the more little itty off careless young clo right

So with this situation with the information given this actually really simple problems to see, we should remember the morality which is over being asked for is defined as the moles of Saul. You divided by the kilograms and solve it. And so in this scenario, um, all this solvent is always water. Um, and we're just given the number of moles already of the soul you, so it's not too bad. So this 1st 1 we're told that we have 0.875 moles of glucose, and it's in 1.5 kilograms of water. And so we already have all the units we need. You just close that into a calculator, you'll get that its 0.58 allow have glucose. Um, so that's the answer. Next one again. Here in red, we're told that we have 11.5 million Moeller Miller moles of acetic acid in 65 grams water. Now the units are not exactly right. We want to turn the millennials into moles, so that means lead to if we want to get rid of this Mila we're after multiplied by tense the negative. Third, we want to change the grams two kilograms. Remember, divide by 1000 so we can also multiply by Tencent, your third, or just move a decimal point over three places. So that's the same as saying 0.65 kilograms. And so now we have moles over kilograms and we conclude that into a calculator you find that we have 0.18 mil out solution. Allow is the way you to say a lower case here now in purple Ramo's of solution, we have 0.3 to 5 moles were given that over to 90 grams of water, but to 90 grams. As we move the decimal point over 123 places. That's the same as 0.290 kilograms. And so you plug down into a calculator. We get that we have 1.1 to Malala solution of whatever we had. I think Chris


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