5

Half-cell reactionE wolts0z(g) + 4H] + 4e 2H,O Ag + e 5 Ag(s) Fe + e 4 Fez+ AgzC CrOA(s) + 2e" > 2 Ag(s) + CrO} Cui+ 2e 4 Cu(s) AgCl(s) + e 3 Ag(s) + Cl- S(...

Question

Half-cell reactionE wolts0z(g) + 4H] + 4e 2H,O Ag + e 5 Ag(s) Fe + e 4 Fez+ AgzC CrOA(s) + 2e" > 2 Ag(s) + CrO} Cui+ 2e 4 Cu(s) AgCl(s) + e 3 Ag(s) + Cl- S(s) + 2Ht + 2e HzS(g) 2H + 2e Hz(g) Pbz+ 2e Pb(s) Sn2+ 2e Sn(s) Fe2+ 2e Fe(s) S(s) 2e 4 S2 - Zn2+ 2e Zn(s) Zn(OH)(s) + 2e Zn(s) + 2OH- ZnS(s) + 2e S> Zn(s) + S2 - Al3+ + 3e 4 Al(s) Mg?+ 2e Mg(s) Mg(OH)(s) + 2e" ~ Mg(s) + 2OH1.229 0.799 0.771 0.446 0.337 0.222 0.141 0.000 0.126 ~0.136 -0.441 0.48 ~0.763 51.245 -1,44 ~1.66 ~2.37

Half-cell reaction E wolts 0z(g) + 4H] + 4e 2H,O Ag + e 5 Ag(s) Fe + e 4 Fez+ AgzC CrOA(s) + 2e" > 2 Ag(s) + CrO} Cui+ 2e 4 Cu(s) AgCl(s) + e 3 Ag(s) + Cl- S(s) + 2Ht + 2e HzS(g) 2H + 2e Hz(g) Pbz+ 2e Pb(s) Sn2+ 2e Sn(s) Fe2+ 2e Fe(s) S(s) 2e 4 S2 - Zn2+ 2e Zn(s) Zn(OH)(s) + 2e Zn(s) + 2OH- ZnS(s) + 2e S> Zn(s) + S2 - Al3+ + 3e 4 Al(s) Mg?+ 2e Mg(s) Mg(OH)(s) + 2e" ~ Mg(s) + 2OH 1.229 0.799 0.771 0.446 0.337 0.222 0.141 0.000 0.126 ~0.136 -0.441 0.48 ~0.763 51.245 -1,44 ~1.66 ~2.37 2.69



Answers

Balance the following oxidation–reduction reactions that occur in acidic solution using the half-reaction method.
a. $\mathrm{Cu}(s)+\mathrm{NO}_{3}^{-}(a q) \rightarrow \mathrm{Cu}^{2+}(a q)+\mathrm{NO}(g)$
b. $\mathrm{Cr}_{2} \mathrm{O}_{7}^{2-}(a q)+\mathrm{Cl}^{-}(a q) \rightarrow \mathrm{Cr}^{3+}(a q)+\mathrm{Cl}_{2}(g)$
c. $\mathrm{Pb}(s)+\mathrm{PbO}_{2}(s)+\mathrm{H}_{2} \mathrm{SO}_{4}(a q) \rightarrow \mathrm{PbSO}_{4}(s)$
d. $\mathrm{Mn}^{2+}(a q)+\mathrm{NaBiO}_{3}(s) \rightarrow \mathrm{Bi}^{3+}(a q)+\mathrm{MnO}_{4}-(a q)$
e. $\mathrm{H}_{3} \mathrm{AsO}_{4}(a q)+\mathrm{Zn}(s) \rightarrow \mathrm{AsH}_{3}(g)+\mathrm{Zn}^{2+}(a q)$

To combine the oxidation half reaction with the reduction half reaction we need to make sure that the electrons cancel. So for this first oxidation half reaction, we see F e c 03 and water going to F E 203 plus two carbon dioxides and hydrogen ion into electrons. When we combine this half reaction of the reduction half reaction of oxygen, we see that there are four electrons that need to cancel. So we need to multiply the top reaction by to the four electrons will cancel. Turns out that the two waters will also cancel. And if we take note, we will also see that you will end up with four hydrogen ions on both sides, which will cancel this then being the final overall reaction. Then if we go to the next one, we have a different oxidation half reaction that we will combine with the reduction half reaction of water. And we see also that we have four electrons that we need to cancel. So we're going to need to multiply this top of reaction here by two so that the four electrons will cancel. We will see our two waters cancel and again paying attention. We will see that the four hydrogen ions on both sides will cancel. This is an R. This is then are final balanced Redox reaction Been for the last one. For part C, we have the given oxidation half reaction with two electrons involved and then the oxygen reduction half reaction with four electrons involved. So what will apply the top reaction by two again and we get our four waters are two waters that cancel our four electrons that cancel and are four hydrogen ion said cancel.

There are five reactions that we need to balance in acidic solution. These redox reactions will be balanced. Using the suggested steps will first write the half reactions for the first Redox reaction we have. See you going to see you two plus and an 03 minus going toe? No, we have a two plus charge on the right hand side of the copper atoms or balance. So we just need to like drones. On the right hand side, we have three oxygen's on the right hand side one on the three on the left hand, side one on the right hand side. So we're gonna add to water so that our oxygen's or balance and we just introduced four hydrogen will act for hydrogen ions over here. Now, we've got a no charge on this side. We've got a three minus start a three plus charge on this side so we'll add three electrons and to make the electrons equal will multiply the first reaction by three. In the second, reaction to the electrons within capsule will end up with three coppers and the two times for eight hydrogen ions and then the two nitrate ions going to to know. Plus our four waters two times +24 waters in our three copper two plus I am's for the next one. We have half reaction of CR 207 to minus going to see our three plus and then cl going to seal too. We have two chromium on the left hand side on the right hand side, levelheaded adding to then we have seven oxygen. So we need at seven waters to this right hand side. Then we need to add are 14 hydrogen ins. So the hydrogen balance 14 hydrogen ions. Then we look at our charges. We have a six plus on the right hand side. So to get a six plus on the left hand side, we need six electrons. Well, then, for the second half, reaction will balance our chlorine by having to on the chloride and then balance our charges by adding two electrons to the right hand side to make the electrons equal. When we some, these together almost plan the bottom reaction by three. The electrons then cancel and we will end up with 14 hydrogen ions when di chromite six chlorides and then to see our three plus chromium freeze and seven waters with our three Corinne for the next one, we've got our lead for oxide with sulfuric acid going to lead to sulfate. And then it's maybe not as obvious, but the sulfate needs to be in the second half. Reaction also because the product is the same lead to sulfate. So, Lord, to balance the all the that we have six oxygen's on the left hand side, four on the right hand side, so we need to water to the right hand side. To make the hydrogen sequel, we need to add to hydrogen ions to the left hand side. Then we have no charge on the right hand side of plus two on the left hand side ladder, two electrons time sign to make the oxygen's equal will have to start. Oxygen's are equal make the hydrogen is equal to hydrogen ions on the right hand side that introduced two plus charge, so we need to electrons on the right hand side. Civil sides are neutral, then we simply some them together. There are no there's nothing common double side, so we just sum everything up and we will end up with two so if you're acids on the right hand side and to lead to sulfates. I'm sorry to hear cast its on the left hand side and to lead to self. It's on the right for D we've got and a B I 03 going to be I three plus and mn two plus going to UMNO for minor. First thing we need to do is balance Adams, um, other than hydrogen or oxygen. We have one business on both sides for the first reaction, but we are missing a sodium, so we'll get a sodium ion on the right hand side. It will balance the oxygen's with water by adding three waters of the hydrogen is with hydrogen ions by adding six hydrogen ions, then balance charges with electrons. A man down below lapse will balance the oxygen's with water and balance. The hydrogen is with hydrogen ions and then balance charges. With electrons like the electrons equal in size to half reactions, we need multiply the bottom half reaction by two in the top half, reaction by five. Well, then some Everything out. We'll end up with a debt of 14 hydrogen ions on the left hand side. We've got our five times six gives us 30 minus are two times a 16. Gives us a debt of 14 Arjun items on the left hand side levers five. Maybe I owe three and our two mn two plus is to a man four minus five b I three plus are five sodium ions and then we have five times 3 15 on the right hand side and to time for eight for a net of seven waters on the right hand side. Then for the last one we have is think going to sink two plus and each three s 04 going to S H three. The first half reaction really needs charges. Balance with two electrons on the right hand side for the 2nd 1 will need a balance Our oxygen's first with waters and then balance our hydrogen with hydrogen ions and the balance charges did. It is neutral on both sides with the eight h plus, we need a electrons, then to make sure the electrons cancel When we send them together, we'll play the first half reaction by four. The electrons will cancel and we sum everything up in order to get our balance. Redox reaction

Hi, everyone. Today we're going toe. See? There is how to balance the negotiation using our creation method. You see, half reaction meant that So you know, first situation is okay is bless c r three plus I agree. Yes, gets CIA Yes, loss came to us igneous. So step one is there. That is outside oxidation involves move each of them end each of lemon So in operation in the free state So it's Iraq sedition state less chromium three plus then chromium again Now, in this case is fresh start zero When this adds came less yes, now in Steptoe find out and I don't reach undergo oxidation and I have done VG endurable reduction now in operations in this problem, zero to plus one on. That's why there is increasing observation number. Therefore the processes oxidation Similarly, no chromium shows increasing the observation solid, increasing the oxidation number from 3 to 0 and that's why it undergo reduction. He turned along eruption. So this is what the second step that is, that means yeah, it's against that that is identify an item reach under the oxidation and which, under the reduction, what is the observation? Increasing the observation number is called Observation on and decreasing. The oxidation number is called reduction. Okay, so but it's second step. That is right. Okay. Mhm. All right, The ox elation on board Election process. Okay. Men turned rate to separate equations that I tube. Okay, Except right invasions. Fourth e observation. And sure, the reduction process so key starting to see evil hands came. Bless. Thank you. Yes. So this is what oxidation then? You know c r treeless and creates gets Seattle zero. Yes, this is what a reduction process. Once, once you do this, then step in them. But Ford comes. That does balance the atoms other than hydrogen adoption balance the act ums other than hydrogen and options. So they're already balanced. Then next comes there is balance. The function. And how does it happen? Oxygen Onda. Hi. Explosion items. So there are so balanced. Then step number for you comes. That is, by Lance Each hard reaction with respect toe charge, balance each half reaction with respect. Oh, child. So you know, case you know as forgets K plus I Yes. You heard of adhere one elect continent like the charge sensitive observation process. Similarly Yeah, three glass. I agree. Yes. Plus three late trans girls C r sweet up, squalid Now. State number five make the number of electrons in both our creations equal, like number off electrons in Roland. Half reactions equals inquiry. So, you know, uh, in second duration, there are three later on in frustration. There is only one electron. So multiply first equation by three. So three indu kids. You know this and gives K plus a curious plus e minus. I'm saying money's clt plus plus three electrons. Yes. Seattle's hero is okay there. Step number six. 19th on the half reactions together, uh, the wow toe. Half reactions together. So three cannot as gears three K plus and curious plus three legged dance in CR three plus plus three legged drugs gears she has, you know as wow, we have, er these two Harvey equations. What we get is trace came out s less cr three. Bless electron electron Get canceled, kids. Three k plus glass cr zero s. So in this case, if you see the items off reactant for Operation three. Product also three chromium one. Here. Also chromium one. Okay, so the reaction is balance. Now we'll move towards Oh, second reaction their deeds. God m z Oh less A c plus joke. Sorry is a place like yes gives m z two plus Yes, plus Faizi solid. Now continue to repeat all the points. Our steps. So just like that. First off, all you to remember that is what is that is a sign Oxidation number. Tow each lemon 11. That case I am seen priest X zero Plus is he plus so plus one oxidation state gets M z took less. So it is tall Citizen state plus silver once again in fresh dead. So it's Iraq's relations state, then off. Of course, you do indicate sure. Oxidation on election process. So magnificent. And this from zero to plus Tau Increasing observation number under suede. This observation certainly is inflicting this from plus 1 to 0. So decreasing oxidation number there. So it is reduction. Okay, so what is second step? Identify? They didn t fly the Yeah oxidation Onda A reduction process process on that. I've to separate recreation's Okay, So oxidation That is, um zero Gilles and Z plus tau. Then a reduction is he bless. Oh, yes. Gives Aziz hero solid started then Thursday. Beads balance the number of items violence, the number off Adams other than hydrogen and oxygen. Then similarly, Yeah, violence. Oxygen on hate to resonate them so they are already balanced That okay, already balanced then false diabetes balance. The child is variation of blacktop violence the child days by a recession off electrons. So you know and you see in Seattle SunnyD he cares m z to class a Prius plus to elect dance then similarly a c plus. Thank you yes, less electron Use Izzy zero as them next time it once you balance the charges by original electron. Now in frustration, there are new electron in second reaction. There is only one reaction. Then balance the number of electrons by multiplying with suitable factor by lens. Come be number off electrons. So EMC's hero s guess MZ two plus last two electrons you want. Okay, then multiply sake Integration by two. So a C plus a Chris plus Elektronik kids is in zero s then step number six i to nothing. Hoff equations together. But patients who gave that that is I'm deals hero, as gets EMC to bless a curious, flush, squealing tongue and this again. Toys is E plus E g s Bless three electron gears. Toys is his hero, Selene. Right when I do mm. These heroes solid plus twice a C plus Agree. Assess gears M C two plus que es plus twice is his hero. Sorry. My initiation magnetism items towards the reactant is only one then corrupt. Also only one. Then silver items towards the reactant are to product also toe and hence the reaction is balance. Now we'll see a third reaction from this. That is, uh, Ellis. Less a fee to class agree us gives and three plus, I guess less F e s. So I sexual statement burrito one that is assign observation number to each limit on science oxidation number to each lemon. So l is in fresh so zero when every two plus XPS gives there is two observation state on every three plus years. So three absolution state on l. Then once again if in the free atomic state. So it's absolution state is zero. Then step to that is identified the process of oxidation on guard adoption as the less right to separate equation for oxidation and reduction. So in this case. You know, observation number was on increasing on their side. The processes observation. Similarly every to close toe every zero aab solution number was on decreasing there. So it is a reduction then. Right to separate Harvick visions, right? Right to separate off reactions. There it is. Oxidation. A in zero as changes to and three plus. I agree. Yes. Reduction impeachment Less and yes, years and his hero as once You ain't to celebrate half equations for this, then third welcomes. Oh, that is violence. Other I'm times really extent. Hey, brought him an officer then balance option and hydrogen. Yeah, Hydrogen in this case. Alright, I'm sorry. Equal even option is absent. Hydrogen is absent, so no need to balance. Then four steps comes. That is well in the challenges. By adding linked ones by lands need child dress complying. You adding electrons. Now if you see properly, uh you know 11 iam a zero observation. So I reelect on towards the right hand side. Bless was three linked. Um, then direction every two plus Thank you. Squealing concept change. So their feet zero as then. Stay number. Fine. That is a balance. The number Awfully. Trans violence, the number off electrons. So in the first equation, too in two living rooms Hero as give us in three bliss Unless three legged on the multiple issyk integration by three. So every plus thank you. Yes, last electron years. F E c. You know. Sorry. No step number six. Uh huh. Do coffee creations toe get balancing operations so through And, you know, as gears and three plus Andrius plus three legged Ron, then six electron. Okay, so multiply these two by everything. So do l. Zero kills the choice and three plus plus six Select multiply. Second question by three. So delegate trace and we do plus and curious kills cool Marty cures It is plus six electron years trace and peace here, as there are two equations until the eighties mile instigation twice a Z as plus twice Actually do plus and PS years icy and three plus at Leah's less tries every zero s. So if you see a number of items of aluminum towards react, terms are to interrupt also to iron It was reacting 33 So it is a balance situations. So let's be Venezuela

Hi, everyone. So we're going to balance a Redox reaction using hard creation metal no, off another flash regression is certainly yes. Plus sn two less acquiesce gears that in do less like years plus SN s. So what is step one? Let's say thank you. Oxidation number dude. Each 11. So this is considered a zero solly plus sn two plus a curious gives in 72 plus clear plus sn is in the fresh steps. So it is zero additional state. Now find out. And Adam which under observation and reach, undergo reduction. So zinc oxidation state tenders from zero to blush toe increase in observation of Marie's observation. Similarly, observation number Ralph S N changes from two plus 20 on duh. That's so it under it goes on decreasing and therefore it is a reduction. Once you identify oxidation and reduction process right to separate heart half equations. Okay, there it is. One is okay. Observations. They're in zero. It's in this toe in 72 plus Agree. Yes. Onda production equation is s n two plus I agree. Yes. Send this to essence. You know s yes. Once you lay these two separate half equations then Step three comes. That is balancing off items other than hydrogen, oxygen, hydrogen and option. Then balancing off option and hydrogen comes. But in this case, you know all the items, their balance, even hydrogen inductions that absent so no need to balance. But four steps come that is balanced the charges by original electrons. So balance the charges by original electrons. Of course, in oxidation process electrons there arrayed towards the left hand side. So in this case, two electrons directions. So we like to electrons. Then introduction again. Two electrons that again. So we'll add a two electrons. Now, in this case, you know, child, this number of electrons are equal. And that's why, uh, you know, step number for you that is and okay to half equations toe half figuration with two half equations. So 70 s plus sm toe plus like bs electron electron get canceled selling to class a curious plus s and zero s. Now, in this case, number off items something very equal from reacting to product. 11 item, even teen is equal 11 atom. And that's why it is balance and I will go for a sick immigration their deeds. Yeah, Dem Zs. Okay, plus Seattle three. Bless. Agree us gives and Z two plus eight years less C. R s. That is solid. No, you know, Space one that is a sign oxidation number to each lament. So we'll carry out that staff that is no magnesium is in the free state, so we'll assign zero solution so that then see a three. Bless yes, gives M C to class. Thank curious Plus see at zero solid. Now you're being indicate which under of oxidation and reach undergo reduction magnetism, oxidation state And this from zero to plus tau. And that's why it there is increasing the absolution number and therefore it under box relations. Similarly chromium oxidation of much in this from 3 to 0 There's way oxidation number was on Be crazy on the process is called direction. Then you know to Ryan, you know step two comes your train to separate hop equations for oxidation and reduction. So oxidation that piece and these hero ace gears energy to bless Agree assis, then a reduction c r. Three plus Aquarius years CR zero s Then in a step thirties, balance the items other than hydrogen option as well as balancing off option and erosion can be done in it. Okay, But in this case, all items are balance. Erosion options are absent, so no need to balance. Then step number four comes. There is balance. The child is now in oxidation process. You know, two electrons are lost in the X y uh, you know, two positive charges. They're balanced by airing two electrons. Similarly, introduction first phase three electrons there again. Therefore, you're doing three lick notes to the religious to be alleges. Once you balance, the child is then balanced in a growth electrons. Next step comes balance number off electrons so they can be balanced by multiplying with suitable fighter. I mean, first reaction. There are two electron in second. There are three electrons. Multiply four by three. So yeah, you guys MZ blue pless plus multiplied second education by toe, right? Yes. Then on to harp equations. So you say spice M z zero solid. Yes. Price NZ toothless less six electrons. This is Please see a three plus yes plus six electrons gears the easier zero as them I to half reactions. What? Legatus tries you c zero as plus 20 ZR three plus. Thank you. Yes, six electrons 600 from get canceled twice. And Rosie du Plessis less to see a zero s. Now, you know, Magnus, um, items to us. Reaction saying three. Perhaps I'd three commitment towards the action side Three, perhaps are also three on. That's the reaction is balanced. Now we'll see a third reaction, right? That is Ellis less a Z plus acquiesce. Yes, l three plus. Yes, plus is yes. So as usual. Step number one as an oxidation. Number two. Every element I live in him in the free state. Civilizing zero oxidation straight to you, is it Plus already given that it's plus one observation state, then l three plus already given That is plus three absolution. State is once again in zero because it is in fresh take. Then identify and I don't reach under observation which under the direction observation number off. Aluminum tenders from 0 to 3 processes. Observation. Alumina. Uh, a down sorry oxidation. State of civil genders from plus 1 to 0 that is decreasing the observation number. So it is a reduction. It is reduction. They invade to separate half equations. One is for observations. That is okay. L three plus. Yes. Okay. On a production, you see, plus a kiss changes to and she's, you know, solid. Then balance the charges by original electron. Before that balance, the items other than erosion adoption than balancing off hydrogen option is not applicable. Since items are already balance, hydrogen options are absent. So step number four comes balance The charges Variation of electron An oxidation process, not three electrons are lost. So you have to add three legged on study riches. Similarly introduction process. You know, one electron is gain. So here, add When he left on, it was the ledges. No, no. And stay for you. You have to balance the number of Flecktones outside Korea's plus we liked on. So multiply this kidney question. Right, Three. Okay. In order to make the number of electrons 12. Yes, blood Anyone's kids is this hero? Yes. Then in step number six, that is, there are other two half figuration. So l zero as gives a l three plus yes, plus three late drunk. Then this is tries and C plus que es plus three legged trans. Yes, Rice is his hero as okay then they're They're the two coffee creations. What we get in, you know, s plus Trace etc plus. Thank you. Yes, give us and three Plus, I guess plus Trace is his hero s. Like in this? Yes. You know this aluminum? It was reacting side 1 ft outside and so on. Then silver towards reaction side three for upside three on. That's why.


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