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Problem 84

When ethane $\left(\mathrm{C}_{2} \mathrm{H}_{6}\right)$ reacts with chlorine $\left(\mathrm{Cl}_{2}\right),$ the main product is $\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{Cl}$ , but other products containing $\mathrm{Cl},$ such as $\mathrm{C}_{2} \mathrm{H}_{4} \mathrm{Cl}_{2},$ are also obtained in small quantities. The formation of these other products reduces the yield of $\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{Cl}$ (a) Calculate the theoretical yield of $\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{Cl}$ when 125 $\mathrm{g}$ of $\mathrm{C}_{2} \mathrm{H}_{6}$ reacts with 255 $\mathrm{g}$ of $\mathrm{Cl}_{2},$ assuming that $\mathrm{C}_{2} \mathrm{H}_{6}$ and $\mathrm{Cl}_{2}$ react only to form $\mathrm{C}_{2} \mathrm{H}_{2} \mathrm{Cl}$ and $\mathrm{HCl} .(\mathbf{b})$ Calculate the percent yield of $\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{Cl}$ if the reaction produces 206 $\mathrm{g}$ of $\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{Cl}$

(a) SEE SOLUTION
(b) SEE SOLUTION

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Video Transcript

Okay, So in this problem, we have to find out two things. First, we have to calculate the theoretical yield auf sie to H five seal that was produced in the creation ofthe See to it six and sealed your glowing Yes. And then we have to find out the person yield off secret trip seal if the reaction produces two or six gram ofthe situation. So our first it will be we'll have to write down the reaction equation and from there we will have to go find out how many most off to see to it. Six is reacting with how many months off chlorine to propose How many? Most ofthe situation ripe seal and from there since they were given the mass ofthe situate, seas and seal to reacting from these two men as we can find out the number of malls of situate six and sealed reacting And from that we can find out the number of most of city which five seal being produced were from where we can find out, the mass of civilians were still produced. So it's started writing down the reaction equation here. So the reaction is between see to it seeks and seal two, which will give us see to H five seal plus eight seal now. So first we have to make sure that if the reaction is balanced because if variation is not balanced, will not be able to know how many moles off which react and Israel is reacting with how many, most of the other and how many moles of the product is being produced here. Okay, so from here we can just see that the reaction is balanced with our bare eyes because we have two carbon here to carbon. Here we have six had risen in the reactor side. We have five plus one. Six had risen and we have two crew in the reactor inside and one want to clone in the products. So the reaction equation is balanced. That means one more off secret six will recreate one mole off chlorine gas two produced one more lof situation seal and one more off. It's still now, since we have to find out on the mass off this product here first you have to know how many. Most ofthe situate six is reacting with. How many most ofthe sale, though, and we can find out that from the mass off these two given in our, um in the question. So in the question, we're given that the mass ofthe C two eight six reacting is one twenty five gram that miss you can find out the number ofthe malls off secret six, which is it's mass over the molar mass of the massive city it seeks. A reacting here is one twenty five gram and the monuments of secret secret is thirty point or seven gram, which is simply the momus are some of the more amounts of carbon and had risen, so seizing up to carbon, it will be so Carmen smaller manages to observe two times to exist twenty four and federal, a smaller masses. One point always seeks hydrogen will give us six months something. And the sun when he was thirty one door sonogram. Now, this will give us the value ofthe four point one six small. So this is the number of moral situate six reacting here. And then you have to find out the number of matloff chlorine gas, which is reacting. So the massive growing is reacting. Here is to fifty five gram and the molar Mass of clone is seventy point nine o six gram. This will give us a bell off three point six zero mall. So this is the number of matloff chlorine reacting. So if we just put this values ear, that man's for Plant one six, small six six six, reacting with three point six zero mall chlorine. And since for American see that one more off each reactant will react to produce one more of the product that men's from here. We have to find out the limiting re attend, and the and the number of Mall of There of the limiting Regent will be the number of mall off citizens for still being produced here. So for American easily see that since one one of each reacting will react. And so in this case, the limiting regent is It's chlorine because three point six zero mole off chlorine will react with Trooper six, Animal ofthe city six and then some excess off this situation, six will be remaining in the solution. And when all the chlorine is consumed, the relational stop And as you know, that the reactant which is I'm completely consumed first is the limiting region that Mr Limiting Reason here is chlorine, and the product which will be produced is equal to the number ofthe mall of the limiting region here because one more of the limiting Regent will produce formal of the product that mystery parent six. Small off going to reproduce three point six more. Obviously. So now we know the number of Mall of situations were still being produced. And from here we can find out the massive cities for seal produced. What is very busy. As you know, that mass is equal to number off malls, times molar mass and the number of mostly have found here is three point six zero. Lippman's the mass ofthe situation tribe seal produced will be three point six serum all times the molar mass ofthe situation absolute, which is sixty four point five one cramp our mall. And from here, this will give us two. Thirty two crumb. So this's the so this is the mass of the situation five seal, which will be which would be phones are in this reaction by and, um, my reacting one twenty five gram ofthe situation situate sees with him. If I graham off, chlorine will give us two thirty Diagram ofthe situation. Absolutely now, in our question, be we have to find out the person field of sandwich five seal produced. And that is simply ah on the actual killed, which is thiss over. Oh, no. So this is our theoretical ill. So our actually is given, as do a six gram those things crime is being produced in this actual relation. That means how are you? Percent l will be the actual field, which is two or six crumb over our theoretical ill, which we have found from the calculations, which is to thirty two gram times one hundred percent. And it will give us a fellow off eighty eight point seven nine percent. So this is the this is the person they love. Cindrich five seal per used. If two six gram off the actual ill is founded, The reaction