balance-the-chemical-equations-in-exercises-5-10-using-the-vector-equation-approach-discussed-in-t-6

Question

Balance the chemical equations in Exercises $5-10$ using the vector equation approach discussed in this section.
[M] The chemical reaction below can be used in some industrial processes, such as the production of arsene (AsH ). Use exact arithmetic or rational format for calculations to balance this equation.
MnS $+\mathrm{As}_{2} \mathrm{Cr}_{10} \mathrm{O}_{35}+\mathrm{H}_{2} \mathrm{SO}_{4}$
$\quad \rightarrow \mathrm{HMnO}_{4}+\mathrm{AsH}_{3}+\mathrm{CrS}_{3} \mathrm{O}_{12}+\mathrm{H}_{2} \mathrm{O}$

Runpeng Li · Accepted Answer

Okay, Um, so in these chemical reaction, we have six. Adam&#x27;s here so that they are, um, McNamee&#x27;s and suffer suffer. And arsenic and chromium and oxygen. Hydrogen. Okay, so for the first come down, we have one mechanism, one sober, and others will be zero second compound. We have zero magnetism, but we have, uh, excuse me. Zero suffer, but we have to our snake tin chromium, 35 oxygen and your hydrogen. All right, so for 1/3 compound, we have zero. I&#x27;m agonies one suffer zero zero for oxygen. Now we come to the right hand side of the equation. Remember? We need to put all the terms on the right inside to the defense eyes that we need to add a negative sign to all the John Alden entries on the right hand side here for the fourth compound. That is the 1st 1st campaign on right hand side. We have one agonies 00 zero and four oxygen and one hydrogen. Okay, since we are here, we&#x27;re considering the Matrix. So at a negative sign to these three numbers. Now, for the fifth compound here, we have zero zero one. You new three. That is one arsenic and three hydrogen and add a negative sign here. 44. That&#x27;s sick. Yeah, for the sixth compound. Here we have zero three, three silver and one chromium, 12 oxygen. We need to add a negative site and last compound we have. This is the water. So that&#x27;s the deal with Jonesy. Role 01 two had, uh, making signs. All right, So here&#x27;s our metrics. No, again, we usedto programming skills to find to find a reduced agent form. I&#x27;ll just write down directly the reduce station here. So the the last of the NASA column for this reduce region of warm we have first for century will be next. 16 over three 27. Second entry is negative. 13 over 3 27 and third entry is connective 3 74 Over 3 27 The fourth entry will be active. 16 over 3 27 The faith one will be negative. 26 over 3 27 and the last entry here. Um, I have no room, but I will from the best here. How? Right down Just, uh, right next to the sentry. So that will be negative. 1 30 over 3 27 Okay, so this is our matrix. And we have one one and not that dog. Thio One and 00 on for the rest of entries here. Okay, so this Mitrice gives us then for Evan s. This compound will be 16 over 3 27 Off Wonder And this compound As to CR 10 0 35 will be 13 over 3 27 times water and suffer. Gassid will be sorry. We&#x27;ll be three 74 over 3 27 off the water and for Hmm? 04 This will be six over three. 27 off the water. And but he asked as h three, this will be 26 over three. 27 up to water. And last you have CR as three old 12 is 1 30 over to be 27 off the water. Okay, now would take We take water as a 3 27 So? So our Kanko equation will be and my has We need We have a coefficient off 16. Plus here we have 13 for this compound. So that is 13 times they asked to cr 10. 0 35 plus So for the suffering that surfer casted, we have 3 74 The surfer gas it equals. Now here we have 16 or h hem and no whore. Thus, 26. Yes, it&#x27;s three class 1 30 off CR as 3 12 See R s three old 12 US water water here will be 3 27 um three. 27 of water. And here is our solution.

Mohamed Raafat Mohamed · Answer

Hello. We&#x27;re going to use the victor equation to calculate the bullets off the always vision. Okay, Guns, Phoebe six loss CR and a. So get B B three or four plus us. You are 03 laws M and 02 Lost and boat. So we can assume that planets. Defectors as the as the whole Oh, it&#x27;s one extra. Extremely thanks. Ex tree x four exploit on x six We have some important smoot number one x one to x six are posted integral number 2 20 mg. The number off the atoms off each element. Exile outside must equal the number of atoms All that elemental the problems in the right side. Number three operations off them ethics in their own only so we can multiplies the numbers in any road by non zero on. We can replace any row by adding and subtracting the number from any road toe that wrote. So let&#x27;s start sold. We have five element offset equation B B and on C R. And on and on. So what&#x27;s that? Okay. In the first molecule, we have one BP and 6 a.m. and use yard. You a man zero off. That&#x27;s the second molecule we have 001 and two and eight. Okay, that the right side We have three three pp zero and zero n zero and four on. We have zero in. No, no, no And NTR 0300 011 Tau Oath on Lost zero BP on one end. 001 So we get that right side whose outlet site with change its signs. So the metrics will be the 16000 on zero 01 to a at next. Three 000 Next, pour on 00 next to zero like three 00 zero in a corn on the next two on 201001 Angeles Fulham is 0000 Okay, so we use through a reduction to simplify that a metrics. So the first thing will be changed or a place or two are to replace was our point. And then are you with our street? So semantics will be 10000 on zero uh, 18 020 on negative three is your own negative. 400 on 0 to 30000 next to negative. 10 on. So solemn. 00101 Polo is your 1000 You okay? Okay, Zannex. Step will be our boy are equal 61 negative. Our boy on a or three roasty equal to R four. Negative. Our street divided by boat. So that metrics will be 10000 on one leg. Gone 20 on three. Oh, you know, one 09 18 on zero next to street over four. Sorry. 0000010 on 00 1/4 01 on laws because 0000 Okay, that next step won&#x27;t be our food are four equal to our three loss. Our food on our three equal are three plus are too. So the metrics will be 10000 on your 1000 on next three. Next street. You don&#x27;t want to make the 18 as you don&#x27;t need to do. 54 uh, 3/2 on zero on 0001 0100 1/4 1 over. Two on one. On. Lost can&#x27;t. 00000 Okay, on the next sense. An expert is our course equal. You are three. Next are four over. But I did buy food. So will be 10000 And you want 000 Next three. Do you want, uh, 01 on you know, next to next? Five or four on 10 00 Oh, you know, 1/4 0100 1/4 0 1/18 and lost. 00000 Good. And the last it will be r p are the earthly Austrian. Miners are boy on our boy Los are four 1/4 by it was our fourth. So the metrics be 10000 on you. 1000 So next 300100 on zero through next boy over four one. You know, on 000 No 1/4. Negative. Uh, Nick. Nick Boy over 16. Andi. So let&#x27;s Poland&#x27;s euros euro 1/4 0 11 36 on soc 1000 So wait, can that that the signal is what more? One on one and 120 So we can and we didn&#x27;t We didn&#x27;t forget that. The first problem is is exploring on extraordinary Street X four x by x six So we can get the corresponding equation from set metrics s o X warm. So yeah, x one by street excess tree equals zero on X two finest to export off. Zero on excess tree miners five before plus export lost 1/4 X six equals zero on export. Good X export. Negative 1/4. Ex boy equal zero on naked boy over 16 exploit plus 11 36 xx equal zero so we can get that X one equals 1/6 66 I&#x27;m extra equal. I want you to 45 x six on exist. Re equal 1/18 6 and export equal. Uh 11 orgy over. Over. Over 45 66 Um uh, ex boy and thanks. Five equal. 44/45. It&#x27;s six. So we keep the X one to x six, both integral. We can assume that as you, uh, exit next six equal 90. So why let you We get X one equals X one equals 13 on X two equals 44 on excess tree equal five x for all 22. So it&#x27;s quite vehicle 88 on a six equal 90. So or not he would get there. Final vision will be Oh, Dean, the B six plus 44 c R and to in two edge to get five b b three 04 plus 22 c R two or three plus 88 02 plus 90 and oh, thanks for you.

Runpeng Li · Answer

problem. The can go. Ricky can go. Reaction we have here is, uh, first we&#x27;ll have a Datsun permit, Nate us like me. And stop it. Because water it is, um, Megan needs offsite and test himself, plus sulphuric acid. All right, bye. Counting those the adams here we have, um Excuse me. So in this camera, this chemical reaction, we have five Adams here. So that is potassium. Excuse me. It is potassium. So for the first compound here, potassium from magnate, we have one potential. We have one potassium. And when one magnesite and for oxygen. So that&#x27;s 11 or 00 plus x two now for having it. So making a selfie. We have one technique. Magnates end one suffer or oxygen. So that is 01 or zero. Start 0141 00 and water. This will be 00 one zoo, too. And on the right hand side, we have one Magnus to oxygen. So that&#x27;s 012 Soon 00 And so it should be Export expire X five times to potassium, one suffer or oxygen. So Dad&#x27;s 20 or 10 And excuse me. So for the last compound here. Um, we have x six, and we&#x27;re oxygen once offer to hydrogen. So that is 00 or 12 Okay, Now I can write down the corresponding matrix at his. Should be a bye bye six matrix. So first rule would be one. Do It&#x27;s your call. Zero. Now, remember, we need to put all three. All these three terms from the right hand side, 11 size. So, for this to we have to add a negative sign so that in the Matrix, So that is 100 zero in the next two zero and 112 nicked one 00 And for for one negative, too. Back to four and 24 for the fourth row. Do one, d&#x27;oh! And 0 81 active one. The last rule 00 Sorry. Um, so we put in. That&#x27;s what we have to zero and 20 you&#x27;re connected to. So again, we applied a gushing in the nation. I&#x27;ll just write down the sushi here, so it will be one deal. Zero All the roads out here spent. The last entry is negative. One and second Royce 01 There was zero with the last entry naked 3/2 and the third rule will be There was 010 through. The last country is negative. One in the fourth rule 00010 negative. 5/2. All right, The last rule. You have all Jews, one and negative one. All right, Excuse me. So right now, we have, um to reduce station in form. So we know that potassium or make me by our first row in this matrix is equal to suffer gas it. That means there they&#x27;re coefficient should be the same. All right, so from the second row, we know that Magne so feet will be saying as so, it will be next. It will be 3/2 off. We have also protested, and the water will be the same as some for casting. And for him from the fourth row, we have, um, negatives outside you cause I have Officer Percocet and put put a potassium. The potassium selfie here from our fifth row should be 1/2. All right. So by our relations here can directly right down our palace, the equation. So let&#x27;s take, um, take the sulphuric acid as, uh, as to here. So so we will have two times potassium for magnate class three times three times off Megane Selfie Thus two times water which is equal to five times bank needs on site us. This should be two times off Tears himself, E And that is two times of suffer. Guess it. So this is our final solution.

Runpeng Li · Answer

in this problem. We&#x27;re given the chemical equation here is first try sodium phosphate? Um, it&#x27;s in a P 04 And so a three people for and bury a nitrate and his B A and No. Three two. That gives Berrien prostate curious. B a. The A three people for two and sodium nitrate. It&#x27;s an a No. Three. So now we need to count. How many atoms for each five of these, Adam. So for Try sodium boss feed. We have three sodium once. What? When prosperous and four oxygen. So that will be three 14 00 and or the second come round. We have one barium to nitrogen, six oxygen. So that would be 00 612 equals x three. You have three. Very, um, to Prospero&#x27;s a oxygen. So this will be 0283 and zero. All right. Last one, we have one sodium, one nitrogen and three oxygen so that it&#x27;s 10301 All right. Excuse me. Um Oh, Okay. So in this case, we can write down the matrix. It is 30 01 and one start times the negative sign here. We just put ah this term from the Ryan side to the left inside. So there should be a negative sign and the second world would be you. 10 The same neck of 20 and third row would be 46 connective eight and negative. Three. Fourth row would be 01 negative. 30 They throw zero to next. 10 Now we can apply a cultural divination do this matrix. Um, I won&#x27;t write down the details here, but I would recommend to use the Walker Malka or any programming language to help you to do this. And the result right down here, that is one 00 negative. 1/3 and 010 active, one have and 001 connected 16 and all zeros for now. Last two rows. All right. So by our reduce session of warm here, we know that trace sodium wants feet. Kiss me. Will be one sick off. So 1/3. Be 1/3. Uh, sodium nitrate and barium nitrate will be 1/2 off sodium nitrate. That is very, um, nine treat will be 1/2 off sodium my treat and the last one area boss speed will be 16 Um, so right here we have, um, 16 off sodium nitrate. So it is very young. Cross fade. Really? Boss will be 16 off sodium, nine tree. All right, so by our can multiply all these terms by six. So what? This gives, um, two times. Try sodium phosphate equals, so I&#x27;ll just, uh So from here, we can just write down the whole question just to just seen in terms off. Um, decimal four. Is that it? First, Just a fraction form. We can just simply by it later. So are we get our chemical equation will be. So with that, we usedto there&#x27;s use 1/3 for the coefficient off. So try sodium, possibly it and 1/2 for very unnecessary. And, um, excuse me. So, for this case for the burial phosphate, we have 16 Very, um, philosophy plus one time sodium nitrate. And we time this equation both eyes both sides by six. So that is two try sodium phosphate phosphate here, and six times. Why have That&#x27;s sweet. So we have three for the second compound. Three. That is very, um, nitric. And that gives one time, um, very impossible. And six times sodium nitrate. Okay, so this is our final solution.

Daniel Kim · Answer

So for this problem, we&#x27;re supposed to turn Siris of unbalanced chemical equations into chemical statements, which means that you&#x27;re going to describe the reactant in the products, the awards and not just chemical symbols. So for part a, we have s eight plus 02 yields eso to we know estate is just going to be sulfur because that&#x27;s the natural sea of sulfur. It&#x27;ll just be sulfur. We know 02 is just oxygen. So it&#x27;ll be sulfur and oxygen and on the product side b of eso to And we know we can denote eso to as sulfur and then dioxide and that die prefixes there because there&#x27;s two oxygen, so it&#x27;s sulfur and oxygen for him. So for dioxide, part B ch four plus 02 yields Co two plus H 20 Well, we know that CH four is an al cane and that specific Al Kane is methane because there&#x27;s one carbon so methane, the other reactant, is just oxygen, gas, oxygen and then one of the reactions Well, the reactant are very common. Commonly known is carbon dioxide and water. You could also call water by hydrogen oxide, but just for convention safe you will see water. Part C is en two plus H two yields NH three. Well, the reactions are easy because we just have to gases in their natural state. So it&#x27;s just nitrogen and hydrogen, and we know that the product is NH three and NH three is ammonia. That&#x27;s just a very famous and well known compound in substance. So that is the expression for part C parte de p 40 10 plus h +20 yields H three p o for So first we have to deal with P for 0 10 So we have to use some prefixes here. So we have four of phosphorous. So the prefix we&#x27;re gonna use here is Tet or Tetra. So we know that p four is Tetra boss for us and we have 10 oxygen&#x27;s in the same compound. So with the priest fixer would have to use here is Deco Decca. In this case, it just be tetra phosphorus deck oxide That gives us p for 00 10 h 20 That&#x27;s just water. So petro falls for a stack oxide in water form And on the right hand side, we have a three people for will immediately me. No, this isn&#x27;t acid. And we know that the main asset here or the group that&#x27;s gonna be named after is a P O for minus three ion. And we know that&#x27;s the phosphate group. So this is going to be phosphoric acid, tetra phosphorus stick oxide water for him, phosphoric acid. And then finally part me s plus H and +03 yields H two s +04 plus an +02 plus h +20 Who asks is just sulfur because it&#x27;s an element. Now we have each and 03 Well, it&#x27;s a nitrate group because nr three and with the minus ion is a nitrate ion. So this is just the trick acid. So sulfur and nitric acid foreign The first product we have his age to us of four. So once again, you know this isn&#x27;t acid, NBC that the main eye on here that that acid is going to be named after is the S 04 minus two I on That&#x27;s the sulphate group. So it&#x27;ll be the sulfuric acid. And next we have you know, too. So, once again, we only use So we have we have one nitrogen so we don&#x27;t need a prefix there. So it&#x27;ll be nitrogen and we have to Oxygen&#x27;s. And so we have to use a prefix. Die will be nitrogen dioxide and then the last product. We have his age tool, which is water. So if you&#x27;re kassid nitrogen dioxide and water, so those are all of the written expressions and the final answers.

Kevin Chimex · Answer

this question wants us to buy last their chemical equations. And between us a beach of comparative, my competitive number of atoms overreact inside. So the number of atoms on the breath So just start. Wait. We have walked with cashew Honda. React inside and we have one touch your money. Now we have, ah, two hostage in Los one. And there&#x27;s three hearts against Very are inside and we have two lost. You lost what my prostitutes under and we have a chill Hydrogen under react inside. Yeah, you lost one and 300 on the other side. So we need you fellas, these atoms. So let&#x27;s time by, uh, choo back because, uh, can&#x27;t try to run off the number of how could you not remember? Approximate interest it puts You had a back off off water here is gonna meet the number off oxygen&#x27;s you&#x27;d be equals to fall. We&#x27;re actually trying to balance begets five to help on the outside. So go away. Just I will be to put you on the back of kill to here. You know, I&#x27;m actually offered me to foreclose one. And that&#x27;s five in that balance number box. Yes, we have on the bright side. So doing doubt make the number of attention to me was to into. But that&#x27;s how to about here. So now we have to stash him and, uh, jiggle, test your reaction on the side that, uh, why would I think that we have Ah, for oxygen Wants one. And that is five under react inside. And now we have six house suggests on the presents. When I was a number of oxygen again, we have to put you back off your studio year and damage number of oxygen is to balance now. Six under reacting to some credit, if you check the number of hydrogen zzzz well reacts off on their Captain San Tutu&#x27;s to give this fall, and we have a full on the product. Silence. What true here haven&#x27;t you? Here to this equation is balance. Right now, we worked out a next equation or just a reaction between higher pretty oxide and she constantly keep I had three night trades. One. So, looking at this equation, we have, ah, two irons from the reactor inside and we have one other products. I So it&#x27;s too bad. Yeah. Yeah. And then next to a number of hires to the palace. Less things to look at. A number of tricking. So nighty here I say 61 the reactant side. We have just one night. A guesser. Suicide about generals Three. That makes you number of introduced to get about 600 Afghans and 67 province. No, we look at the number of oxygen&#x27;s on the react. Inside, we have three loss systems. Three last native lost three here, mixed 11 And this is gonna choose Time Street and three, that is 80. And we mean, uh, three l 10 years mostly three back here down. Make 20 more oxygen. So not a number of oxygen is our balance and hydrogen. We have six evidence and then six. I&#x27;ve in snow. Yeah, gel disa question spell. It&#x27;s right now and removed in the next equation, which is, uh, an industry must holds him to be there, not most issue. So we&#x27;re just gonna do to sending dwindling. I hear we have ah, one night to do one nitrogen, three accidents and we have just to live again here. So where do you go about violence in this trilogy? Two in front of these industry and three in front of each general. So that makes no replied against the six on both sides. So if we have six idea jeans on both sides now, we have two nitrogenous on the reactor inside, but we have just one. So you have to put you back on the magic here. It&#x27;s kind of number off Oxygen&#x27;s we have Ah, through all surgeons on the reactor inside. And then we have two lost three, That is, five bucks gets on pride aside, so we just have to find a way to right here. And then we can just What&#x27;s it like? True by juicer? From what a true bites you You know how I know an industry lost five whole sue. So give well hand hole Ross six itching. So the sister bask in cooperation with that question. The next will be the PC. Help I reacting with tissue you fish to repeat your fallen on the CIA. So, looking at these, we have one loss for us. Walk was for us. The possibles, numbers and honest. Right now you&#x27;re five chlorine in Just want glory here, so I&#x27;m gonna put 500 back off Hey C area And that palace that state number willing atoms. You have 200 years. We have ah three loss far that is eight Hydrate is yes. You fall hard about the issue of damage. The number has to be close to eight. And now we are for all surgeon and we are false. So the secretions us? No, look to the next one. Just a reaction. Which custom oxide and columns get custom carbide. I&#x27;ll see you soon. Number of caution is one and we have more cash in the s wa remember, oxygen is one won&#x27;t help to here. So we&#x27;re just gonna go ahead and puts you in front or to crush your long time and then mission about caution to equal to zero. Puts you in front of discussion here to check against your passion to cash into oxygen into oxygen. Won&#x27;t come on. Here we have 12345 colors. Campbell fighting in front of this camera and that makes me wish it. So we&#x27;re gonna move to the next, uh, question thou be the reaction between molybdenum self I and Occidental de Hamel to be s city. So we have one but we do know. Okay, well, maybe, you know, on the bright side. Swell. Now we have two so far, but he and we have just one so considerate about Professor, too. And that makes you number of stuff to become two. Now we have two oxidants on their react inside on a promise side. Here we have Ah, seven Oxidant was Jenna. Let&#x27;s you And then what&#x27;s a black heart? True by ju uh, June relieving himself. Fun lost seven. Won&#x27;t see Secret ease to him or or three loss for escorts. Now we&#x27;re gonna check the number of atoms in here to let you know when you do know what&#x27;s off. Also far on DDE. What Eun oxygen? This is to 10 36 40 His gates six, first 18. What&#x27;s in service equation? Hispanics now? Really moment to last operation. And that is the reaction between higher accommodate him. Cover me S e T. I am bicarbonate ran to my calendar and we have one hire one higher on one common loss, one that is chewed. And here you have to cover us a swell And the three plus three. That&#x27;s six oxygen. You snuff six accidents where this equation is myself. That&#x27;s yes. The houses

Problem

Find the general flow pattern of the network show…

Problem 10 Medium Difficulty

Answer

$16 \mathrm{MnS}+13 \mathrm{As}_{2} \mathrm{Cr}_{1} 0 \mathrm{O}_{3} \mathrm{5}+374 \mathrm{H}_{2} \mathrm{SO}_{4}=16 \mathrm{HMnO}_{4}+26 \mathrm{AsH}_{3}+130 \mathrm{CrS}_{3} \mathrm{O}_{1} 2+327 \mathrm{H}_{2} \mathrm{O}$

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Linear Algebra and Its Applications

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$16 \mathrm{MnS}+13 \mathrm{As}_{2} \mathrm{Cr}_{1} 0 \mathrm{O}_{3} \mathrm{5}+374 \mathrm{H}_{2} \mathrm{SO}_{4}=16 \mathrm{HMnO}_{4}+26 \mathrm{AsH}_{3}+130 \mathrm{CrS}_{3} \mathrm{O}_{1} 2+327 \mathrm{H}_{2} \mathrm{O}$

Linear Algebra and Its Applications

Grace H.

Heather Z.

Kristen K.

Michael J.

Absolute Value - Example 1

Absolute Value - Example 2

David C. Lay, Steven R. Lay, Judi J. McDonaldLinear Algebra and Its Applications

Grace H.

Heather Z.

Kristen K.

Michael J.

David C. Lay, Steven R. Lay, Judi J. McDonald

Linear Algebra and Its Applications