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Mod-01 Lec-06 Lecture-06-Principles of Carbon Reduction — Transcript

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  1. 0:00[Music]
  2. 0:19now
  3. 0:22friends during my last lecture I started
  4. 0:25discussing free energy diagram for
  5. 0:28oxides which are also known know as Elam
  6. 0:31diagrams let me quickly recapitulate
  7. 0:35some of the basic features of eling gam
  8. 0:39diagrams these diagrams plot standard
  9. 0:42free energies of formation of various
  10. 0:48oxides from the metal and
  11. 0:50oxygen as a function of
  12. 0:54temperature and the values are always
  13. 0:58with reference to one
  14. 1:00molecule of
  15. 1:02oxygen so all the formation reactions
  16. 1:05are so
  17. 1:07written that it is always one molecule
  18. 1:11of oxygen in the
  19. 1:13reaction and there is a very interesting
  20. 1:16reason why we do that we do that because
  21. 1:19then we can easily deduct values of
  22. 1:22formation of one oxide from values of
  23. 1:26formation of another oxide we can
  24. 1:28calculate very easily
  25. 1:30the free energy change in the reaction
  26. 1:33when one metal reduces a
  27. 1:37lesser less stable oxide to produce a
  28. 1:41more stable oxide I'll give an example
  29. 1:43of that but first of all let us see the
  30. 1:48relevance of this these diagrams for
  31. 1:51carbon reduction of oxides which as you
  32. 1:55know is the basic reaction in pyrometer
  33. 2:01now carbon forms two
  34. 2:04oxides carbon dioxide and carbon
  35. 2:09monoxide the line
  36. 2:13for carbon reacting with oxygen to form
  37. 2:17CO2 is a horizontal
  38. 2:19line because there is no entropy change
  39. 2:22in this reaction the same number of
  40. 2:25moles of
  41. 2:27gas are involved in the left hand side
  42. 2:29as well as the right hand side one mole
  43. 2:31of oxygen giving you one mole of
  44. 2:34CO2 and as I mentioned earlier these
  45. 2:37lines represent the equation Delta G is
  46. 2:40equal to Delta H minus t Delta H so the
  47. 2:44slope is comes from Delta s not which is
  48. 2:47the entropy
  49. 2:48change in the case of Co reaction
  50. 2:52however two 2
  51. 2:56C plus O2 giving you 2
  52. 3:01Co we have the situation that one mole
  53. 3:05of
  54. 3:05oxygen reacts with carbon to produce 2
  55. 3:09moles of Co so the volume is increasing
  56. 3:13volume of gas the entropy is increasing
  57. 3:15and therefore this line has a negative
  58. 3:20slope this implies that with increasing
  59. 3:23temperature carbon monoxide becomes
  60. 3:27increasingly
  61. 3:28stable carbon dioxide stability does not
  62. 3:33change with increasing
  63. 3:35temperature on the other hand all oxides
  64. 3:39which are represented by the parallel
  65. 3:42lines show that as the temperature
  66. 3:46increases all oxides become less stable
  67. 3:51more prone to reduction and
  68. 3:54decomposition now these lines intersect
  69. 3:58carbon Cuts these lines
  70. 4:00as well as for formation of Co cuts the
  71. 4:03CO2 Cuts these lines as well as carbon
  72. 4:06going to carbon dioxide also cut these
  73. 4:08lines consider an
  74. 4:12intersection of this line and that line
  75. 4:15This oxide is becoming increasingly
  76. 4:18unstable with
  77. 4:20temperature and Co is becoming
  78. 4:23increasingly stable with temperature
  79. 4:26Beyond this intersection Co is
  80. 4:30comparatively more stable than the
  81. 4:33oxide there therefore carbon can reduce
  82. 4:37this oxide to form Co and liberate that
  83. 4:41metal now since the co line has a
  84. 4:45negative slope in theory it will cut all
  85. 4:49lines of course some intersections will
  86. 4:52be at a very high temperature some would
  87. 4:54be at low temperatures so those oxides
  88. 4:58which are not very stable will be
  89. 5:00reduced
  90. 5:01easily oxides that are far more stable
  91. 5:05will be reduced at high temperatures in
  92. 5:07theory it's quite possible that the
  93. 5:09temperatures required for reduction at
  94. 5:13for these Metals at such high
  95. 5:15temperatures what will be more
  96. 5:18stable some carbide will become more
  97. 5:21stable and not oxide because the metal
  98. 5:23would also react with carbon in the
  99. 5:25system then we have a different kind of
  100. 5:28problem but in theory
  101. 5:32carbon oxygen to form carbon monoxide
  102. 5:35this
  103. 5:37reaction can be the basis of reduction
  104. 5:41of any metal oxide at sufficiently high
  105. 5:44temperatures how do we calculate the uh
  106. 5:48thermodynamic quantities free energies
  107. 5:50of formation such reactions for such
  108. 5:52reactions is very simple actually
  109. 5:56consider the basic reactions here
  110. 6:002 C+ O2 2 Co call it Delta G1 C+ O2 CO2
  111. 6:06call it Delta
  112. 6:08G2 and formation reactions for oxide the
  113. 6:11simple oxide Mo we take
  114. 6:13Delta G
  115. 6:163 if you write
  116. 6:18it in the reverse manner this becomes
  117. 6:21minus Delta
  118. 6:23G now you have to add this
  119. 6:27reaction with this reaction
  120. 6:31to get the values for these like 2 m o +
  121. 6:352 C to give you 2 m + 2 Co will be
  122. 6:38obtained by Delta G1 minus Delta G3 and
  123. 6:43for 2 m mo+ c giving
  124. 6:47you 2
  125. 6:50m+
  126. 6:52CO2 will be given by Delta G2 minus
  127. 6:56Delta G 3 so you can calculate the free
  128. 6:59energy change for the reduction of uh
  129. 7:02these reduction reactions by
  130. 7:05carbon to form Co and
  131. 7:09CO2 these calculations are important in
  132. 7:12metery and there will be many examples
  133. 7:15of that similarly we can calculate the
  134. 7:18free energy
  135. 7:19change when a metal M Prime reduces a
  136. 7:24less
  137. 7:25stable metal oxide to produce release
  138. 7:29that metal and produce a more stable
  139. 7:31metal oxide Again by taking a
  140. 7:35difference of two free energy change for
  141. 7:38two
  142. 7:40reactions now another thing that I had
  143. 7:42mentioned is that in
  144. 7:45these plots the slope represent Delta s
  145. 7:49not the change in slope is not because
  146. 7:52of change in Delta is not but because of
  147. 7:55some melting of either metal or the uh
  148. 7:58metal oxide
  149. 8:04now let's take this
  150. 8:07example of reduction of
  151. 8:11al23 by
  152. 8:13carbon so we have to combine these two
  153. 8:19reactions 2 C + O2 2
  154. 8:23Co
  155. 8:25and 4x3 aluminum plus O2 2x3
  156. 8:30l23 you have to deduct the free energy
  157. 8:33values for this
  158. 8:35reaction from the free energy change for
  159. 8:38the reaction and then we get the desired
  160. 8:42reaction 2x3 l23 + 2 C 4 by + 2 Co and
  161. 8:48we can calculate the free energy change
  162. 8:50for that
  163. 8:51reaction you can see here that the
  164. 8:54carbon going Co that line is represent
  165. 8:59approxim by this line
  166. 9:02carbon oxygen reaction from CO2 is about
  167. 9:06this line This intersection takes place
  168. 9:08at around
  169. 9:10710 and for ION oxide the line is here
  170. 9:14so we can say that AO can be reduced by
  171. 9:18both
  172. 9:19carbon carbon to form either CO2 or Co
  173. 9:24at around here but the line for l23
  174. 9:29can be met only by the line for
  175. 9:34Co this line that represents
  176. 9:39carbon oxygen reaction to form CO2 does
  177. 9:43not cut this l23 line we can say that if
  178. 9:48we can have temperatures of around
  179. 9:511800° even a stable oxide like l23 will
  180. 9:55be reduced by carbon to form Co because
  181. 9:59Beyond this point Co becomes more stable
  182. 10:02as compared to
  183. 10:05al23 however as I
  184. 10:07mentioned although this is okay in
  185. 10:10theory we cannot ignore another reaction
  186. 10:13that will take place that will
  187. 10:16form aluminium carbide which will not be
  188. 10:20reduced by Co so this reaction actually
  189. 10:24it it cannot be exploited in the
  190. 10:28industry but for lesser less stable
  191. 10:31oxides where these lines are placed
  192. 10:34higher above we'll find many
  193. 10:38reactions many reactions are
  194. 10:41possible where the reduction is by
  195. 10:45carbon there's another thing that
  196. 10:48happens that Suppose there is a metal
  197. 10:52oxide which is reduced by
  198. 10:57carbon to form
  199. 11:01metal and carbon
  200. 11:03monoxide suppose the temperature is very
  201. 11:07high we can help the reaction in two
  202. 11:10ways we can apply
  203. 11:13vacuum if you can apply vacuum and
  204. 11:15release Co from the system then this
  205. 11:19reaction will be driven to the right and
  206. 11:21it can take place at lower temperatures
  207. 11:25the other way would be if you can lower
  208. 11:27the activity of M
  209. 11:30by dissolving in
  210. 11:39something for example suppose we produce
  211. 11:44not the metal but a Ferro
  212. 11:48alloy a metal dissolved in a pool of
  213. 11:51iron then the activity of metal will go
  214. 11:55down and the reaction will be driven to
  215. 11:57the right we'll be able to C carry out
  216. 11:59the reaction at a lower temperatures
  217. 12:02will
  218. 12:03also eliminate if not totally partially
  219. 12:08the tendency to form a carbide because
  220. 12:11again formation of a carbide will depend
  221. 12:14on activity of the metal so in the case
  222. 12:18of those oxides which are very stable
  223. 12:20and which will need very high
  224. 12:22temperatures for reduction by
  225. 12:24carbon we can help the reduction
  226. 12:27reaction by using by by producing Ferro
  227. 12:30Alloys this is the basis of production
  228. 12:33of Ferro chromium pherom manganese
  229. 12:37ferrovanadium
  230. 12:38Etc which are possible because the metal
  231. 12:43being produced is being dissolved in
  232. 12:45iron and we can drive the reaction to
  233. 12:48the
  234. 12:54right unfortunately we do not produce
  235. 12:57anything called Ferro aluminum
  236. 13:00otherwise if
  237. 13:01we could dissolve aluminum in Iron then
  238. 13:05this reaction would have occurred at a
  239. 13:08much lower temperatures because
  240. 13:10aluminium
  241. 13:12activity will go
  242. 13:17down okay let us now
  243. 13:23proceed
  244. 13:25the
  245. 13:28thermodynamics has been
  246. 13:30extensively applied in the case of
  247. 13:33roasting reactions also to understand
  248. 13:36the reactions now during
  249. 13:39roasting all kinds of reactions are
  250. 13:42possible I am writing some reactions
  251. 13:45here as you can
  252. 13:50see let's let's assume the sulfide is
  253. 13:52written as MS2 like
  254. 13:56F2 it can react with other sulfides like
  255. 14:01FES release sulfur this sulfur oxygen
  256. 14:05reaction is possible the metal sulfide
  257. 14:08can react with oxygen to produce a metal
  258. 14:11oxide and so SO2 there's reaction
  259. 14:14between s SO2 and there should be half
  260. 14:17O2 oxide and S3 can form uh
  261. 14:22M4 then there also this sort of products
  262. 14:27are possible in other words
  263. 14:29when you have a in a system you have
  264. 14:32metal sulfur and
  265. 14:34oxygen you can produce oxide you can
  266. 14:37produce different sulfides you can
  267. 14:39produce sulfates you can produce
  268. 14:43compounds which can be written as a
  269. 14:46combination of oxide and
  270. 14:49sulfate what will exist at a particular
  271. 14:52temperature would depend on the partial
  272. 14:54pressures of sulfur and
  273. 14:58oxygen
  274. 14:59or if you fix the pressures of sulfur
  275. 15:03and oxygen then what will exist what
  276. 15:06phases will be present will depend on
  277. 15:09the
  278. 15:10temperature this information is vital
  279. 15:13and necessary because if you want to
  280. 15:16control roasting reactions we would like
  281. 15:18to aim at certain products we must know
  282. 15:22what should be the value of partial
  283. 15:23pressure of oxygen partial pressure of
  284. 15:27um sulfur and what should be the
  285. 15:30temperature so let's see how we do
  286. 15:42that there
  287. 15:44are Elam diagrams for sulfites also
  288. 15:48where all the reactions are
  289. 15:51shown for formation of the
  290. 15:54sulfites for reactions between the metal
  291. 15:58and sulfur Always written as
  292. 16:02S2 sulfur Vapor so all the reactions as
  293. 16:06in the case of oxid it was with O2 it's
  294. 16:08written in terms of H2 and whatever we
  295. 16:11did with sulfides oxides we can do the
  296. 16:14same thing here
  297. 16:16but we do not consider these diagrams
  298. 16:19for reduction by carbon or not even so
  299. 16:22much for metallothermic reaction but
  300. 16:25there are other uses of these diagrams
  301. 16:27and I'll I'll I'll try to show you one
  302. 16:30or two
  303. 16:35uses people have been able to draw using
  304. 16:39thermodynamic
  305. 16:40data diagrams called predominance area
  306. 16:46diagrams now predominance area diagram
  307. 16:49show
  308. 16:50us
  309. 16:53that at a particular
  310. 16:56temperature for different values of
  311. 17:02P2 and PSO2 what are the phrases that
  312. 17:06are present this will be for a
  313. 17:09particular
  314. 17:11temperature which means that we can have
  315. 17:15this phase for a
  316. 17:18variety of
  317. 17:20combinations of partial pressure of
  318. 17:22oxygen and partial pressure of SO2 there
  319. 17:25are limits but if you have the partial
  320. 17:29pressure of oxygen at this and if you
  321. 17:32exceed the value of
  322. 17:36P SO2 Beyond this then you'll end up
  323. 17:39with is n
  324. 17:42io4 so how do we draw such diagrams I'll
  325. 17:45give you a an example of a simple
  326. 17:49example that suppose you want to study
  327. 17:52the uh
  328. 17:56NIS this diagram of
  329. 17:59roasting of NIS with there are many many
  330. 18:02reactions possible let us consider one
  331. 18:05particular
  332. 18:06reaction that is nickel
  333. 18:09sulfide giving you nio and
  334. 18:14SO2 now we know that the basic reaction
  335. 18:19for this would be Delta G minus rtln K
  336. 18:22Prime where K Prime is the equilibrium
  337. 18:24constant which is written like
  338. 18:27this
  339. 18:30now from this if we take log we can
  340. 18:33write log PSO2 3x2 log P sub2 plus log K
  341. 18:41Prime we are considering an equilibrium
  342. 18:45between n and niio and that is the line
  343. 18:50BC n and
  344. 18:57ni now similar
  345. 18:59for reaction ni3 S2 7x 22 3 N2 s O2 we
  346. 19:05will obtain another
  347. 19:08equation
  348. 19:10now how do you analyze these look at
  349. 19:13this
  350. 19:15uh look at these two equations 2 n + O2
  351. 19:192
  352. 19:20nio from Elam diagrams we can get the
  353. 19:23free energy change value for
  354. 19:26this 2 n i + S2 2N n we can get the free
  355. 19:31energy change for this from the Elum
  356. 19:34diagram from sulfides now you write it
  357. 19:37in the reverse this reaction so that you
  358. 19:40can add these two equations to get a
  359. 19:44equation that
  360. 19:46represents oxidation of n to
  361. 19:49nio so we can get the Delta G value for
  362. 19:53this Reaction 2 N plus O2 + 2 nio
  363. 19:58considering the free energies of
  364. 20:00formation of the oxide and
  365. 20:02sulfur from
  366. 20:04this the Delta G value for this has some
  367. 20:09value this will have another value these
  368. 20:13values are also available so if you
  369. 20:16substract this value from that value we
  370. 20:19will get the Delta G not for this
  371. 20:21Reaction 2 n i plus 3 by2 2 N plus 2 S2
  372. 20:26and finally if you have it we'll get the
  373. 20:30Delta G value for this now if you have
  374. 20:33the Delta G value for this then we can
  375. 20:38do
  376. 20:39the we can get
  377. 20:42the value of K because Delta
  378. 20:49G is equal to minus rtln K
  379. 20:54Prime and once we have that value of K
  380. 20:58Prime if you substitute there then you
  381. 21:01get an equation that relates PSO2 with
  382. 21:05log P2 for a particular temperature for
  383. 21:09different values of T we will get
  384. 21:12different relationships and in using
  385. 21:15that we can draw the boundaries between
  386. 21:17NIS and nio similarly you have to
  387. 21:20consider the various equilibria and we
  388. 21:23can draw these lines now obviously if
  389. 21:25you consider the equilibrium between
  390. 21:27nickel and Nel side it will depend only
  391. 21:32on P2 it has nothing to do
  392. 21:35with SO2 at all that's why this is a
  393. 21:39vertical line similarly NIS and N4 would
  394. 21:43also the boundary also would be a
  395. 21:45vertical
  396. 21:48line we have also this sort of uh phas
  397. 21:53stability diagrams or predominance area
  398. 21:56diagrams for other oxides sulfates and
  399. 21:59sulfites this is a very very important
  400. 22:02diagram because we need to know that
  401. 22:05when we take lead sulfide and we roast
  402. 22:09it to get PBO where should the furnace
  403. 22:14operate normally this is the range where
  404. 22:18the usual rooster gas composition is
  405. 22:21usually
  406. 22:22here now you know this sort of
  407. 22:26calculations gives us the limiting Valu
  408. 22:28that this is this is the equilibrium
  409. 22:29value obviously if suppose you get a
  410. 22:32equilibrium temperature of T the actual
  411. 22:35operation in the industry would be high
  412. 22:37higher temperatures for various reasons
  413. 22:40firstly to accelerate the rates or
  414. 22:42sometimes to melt different phases but
  415. 22:45we still want to know the limiting
  416. 22:47values that will tell us exactly where
  417. 22:52the operation should be carried
  418. 22:55out now let's go back to some
  419. 22:59things I mentioned earlier I had talked
  420. 23:01about roasting roasting is you take a
  421. 23:05sulfide and you convert it into an oxide
  422. 23:08or a sulfate or whatever it is there are
  423. 23:11so many
  424. 23:13reactions this is a roer which is very
  425. 23:17commonly used to very commonly used in
  426. 23:19the industry
  427. 23:20called he rooster yet there are many
  428. 23:24many hearts and the there's a central
  429. 23:27shaft on on which these
  430. 23:29hearts are circular hearts and the whole
  431. 23:33thing
  432. 23:35rotates the the the hearts rotate and
  433. 23:41the feed from the top actually goes from
  434. 23:45one he to
  435. 23:47another in this fashion and see these
  436. 23:50are the
  437. 23:51teeth which sort of go through the
  438. 23:54charge so the charge flows from one to
  439. 23:57the other one to the other other one is
  440. 24:00stationary this part is stationary these
  441. 24:02are the attached to the centrer shaft
  442. 24:05which are rotating and the these are the
  443. 24:06teeth the teeth kind of uh make the
  444. 24:10charge flow from one to the other so the
  445. 24:13by the time the
  446. 24:15sulfide has come from here to the bottom
  447. 24:19you get a calci you got the
  448. 24:22oxide now a lot of experiments on this
  449. 24:26showed that actual Ro in
  450. 24:29reactions took place when the particles
  451. 24:32are falling from one Earth to the other
  452. 24:35immediate by people had taken samples
  453. 24:38not so much as when they were on on the
  454. 24:40earth and they were being stirred or
  455. 24:43they were they going from one place to
  456. 24:45another so that gave an idea of this
  457. 24:49flash rooster which is what is used in
  458. 24:53the industry now there the idea is that
  459. 24:56finally divided sulfide concentrate
  460. 24:58air is allowed to drop through a
  461. 25:01combustion chamber maintain at a certain
  462. 25:04temperature and this is discharging
  463. 25:06device you get the roast straight
  464. 25:09away what will be the nature of the
  465. 25:11product will depend on of course the
  466. 25:14partial pressure of oxygen and of
  467. 25:16temperature etc etc but this is a very
  468. 25:19rapid
  469. 25:20process that the multiple he rooster
  470. 25:24will take very long time because the
  471. 25:26central shaft is rotating and the charge
  472. 25:29is coming very slowly from top to the
  473. 25:31bottom but here it is practically almost
  474. 25:35in instantaneous of course there's a
  475. 25:37height of the chamber they simply drop
  476. 25:40through a hot chamber and immediately
  477. 25:44roasted and they taken
  478. 25:46out now this give rise
  479. 25:49to another idea to which outc
  480. 25:54come that for that I have to come to the
  481. 25:57concept of Smith melting now I had
  482. 25:59mentioned in roasting there's no melting
  483. 26:02you're charging you're heating a solid
  484. 26:05charge sulfide and it becomes a solid
  485. 26:07oxide but in the system if you bring in
  486. 26:11a reducing agent like carbon and some
  487. 26:13fluxing agents like calcium oxide and um
  488. 26:18quartz you create a slag phase that
  489. 26:22operation is called melting where you
  490. 26:24create like in Blast Furnace you create
  491. 26:27Slack
  492. 26:29and you create metal and there is
  493. 26:31separation between one and the
  494. 26:33other we have smelting in case of
  495. 26:36sulfide do also but
  496. 26:40sulfides do not give metal straight away
  497. 26:44what they do is a phase called
  498. 26:48mat and we have an operation called
  499. 26:52smelting where the sulfides are first
  500. 26:56partly roasted and and then the whole
  501. 26:59charge reduced there is a slag phase and
  502. 27:02we do have a separation of slag from the
  503. 27:06metallic values but the metallic values
  504. 27:09stay basically as a mixture of sulfites
  505. 27:12in the case of copper ion sulfide and
  506. 27:14copper sulfide we call that matte so
  507. 27:17there is matte slag separation so
  508. 27:20smelting can be of two kinds metal slag
  509. 27:23separation or matte slag
  510. 27:26separation this discuss in detail in
  511. 27:29when we come to extraction of
  512. 27:32copper now this idea of flash smelting
  513. 27:37has come flash roasting has come into
  514. 27:40flash smelting also there the idea is
  515. 27:44the sulfide is particles are dropped
  516. 27:47into a chamber hot chamber controlled
  517. 27:51oxygen partial pressure along with the
  518. 27:54fluxing
  519. 27:56material and there is auxiliary Fuel and
  520. 27:58oxygen to maintain temperature so while
  521. 28:02in flight and then later on it not only
  522. 28:06produces the caline but caline also
  523. 28:08reacts with reducing agents and you end
  524. 28:11up with a slag and mat so this is also a
  525. 28:15very rapid process flash M flash
  526. 28:18roasting is where there's no reducing
  527. 28:20agent you simply caling it very quickly
  528. 28:24and Flash smelting is where in a Flash
  529. 28:28you are caling then you are also fluxing
  530. 28:31out on the gang and you're producing a
  531. 28:33slag and a mat two separate
  532. 28:40phes now I have been talking about this
  533. 28:44word slag quite frequently so I would
  534. 28:46like to say a few words about what is
  535. 28:49slag and how is slag made but before
  536. 28:52that let me give you one or two small
  537. 28:55examples of how thermodynamic calcul
  538. 28:58ations are applied in the case of
  539. 29:00reduction reactions now here is a small
  540. 29:03problem find the vacuum required to
  541. 29:06reduce
  542. 29:07nb205 by carbon at 1200° K now if you
  543. 29:12look at the lingam
  544. 29:14diagrams this
  545. 29:16reaction reduction of
  546. 29:19nb205 by
  547. 29:21carbon will need very high
  548. 29:25temperatures because if you write in
  549. 29:27this reaction
  550. 29:28nb205 Toc
  551. 29:31this normally if you look at the lingam
  552. 29:34diagrams what we are we are plotting
  553. 29:38standard free
  554. 29:40energies it is
  555. 29:42for a given values of partial pressure
  556. 29:45of Co it will need high temperatures but
  557. 29:48this reaction obviously can
  558. 29:51be sent forward if you find ways to
  559. 29:55reduce this carbon monoxide by applying
  560. 29:58vacuum so the problem is
  561. 30:01this can we reduce NB 203 to5 by carbon
  562. 30:07at a relatively low temperature of 1200°
  563. 30:11K which is 900°
  564. 30:13C normally it will not happen but
  565. 30:16suppose we apply vacuum what kind of
  566. 30:18vacuum would you need it's very easy we
  567. 30:22have the free energy change values for
  568. 30:24this
  569. 30:25reaction standard free energy change
  570. 30:28change we have the standard free energy
  571. 30:30change for formation of
  572. 30:33nb205 by difference we get the standard
  573. 30:36free energy change for the reaction that
  574. 30:39we are studying which is reduction of
  575. 30:42nb205 by carbon to form metal and
  576. 30:46Co at 1200° scale we'll get the value of
  577. 30:51delta G not as 68.85 Kil calories which
  578. 30:56is minus RTL and k k is the equilibrium
  579. 30:59constant the equilibrium constant we can
  580. 31:03obtain by putting the right
  581. 31:06values
  582. 31:0968.85 RT
  583. 31:11value and taking 2.33 log K if WR it
  584. 31:17comes to 4575 in
  585. 31:201200 K is represented by this
  586. 31:24expression and so we end up with an ex
  587. 31:28expression from which we can calculate
  588. 31:31that the equilibrium partial pressure of
  589. 31:33carbon monoxide would be 3 into 10us 3
  590. 31:38atmosphere for this
  591. 31:40reaction now obviously which is equal to
  592. 31:432.28 uh mm H this is the equilibrium
  593. 31:48partial pressure of Co for this
  594. 31:50reduction reaction so if we can maintain
  595. 31:52a vacuum better than 2.28 mm Mercury
  596. 31:57then we can make this reaction happen at
  597. 32:01temperatures as low as
  598. 32:07900° we use thermodynamic data for
  599. 32:12analysis of thermit reactions which
  600. 32:15refer to reduction of an oxide by
  601. 32:17another
  602. 32:18metal like right in the beginning I had
  603. 32:21said there is a process called thermit
  604. 32:23process where f23 is reduced by
  605. 32:26aluminium exothermically to produce
  606. 32:29liquid ion all it needs is you take f23
  607. 32:33powder and aluminium powder and
  608. 32:35ignite immediately the reaction starts
  609. 32:38the temperature is so high that
  610. 32:40everything becomes molten even l23
  611. 32:42becomes molten and the molten iron will
  612. 32:45go into the cracks in rails if you want
  613. 32:49to uh repair those
  614. 32:51rails now in this cases as I have shown
  615. 32:54here after initiation temperature rises
  616. 32:56melting Rises
  617. 32:58enormously to melt everything l23 can be
  618. 33:01easily slagged off means if you put some
  619. 33:03flux it will it will go out very easily
  620. 33:07and the
  621. 33:09rest are not volatile so the reaction is
  622. 33:12easy but sometimes even such reactions
  623. 33:15are okay in theory there are a lot of
  624. 33:17problems in practice for example suppose
  625. 33:19you want to reduce
  626. 33:21tio2 solid by
  627. 33:24calcium this reduction needs
  628. 33:28high temperatures where calcium becomes
  629. 33:30a gas so the reaction has to be written
  630. 33:33like this it has to be in in a closed
  631. 33:36chamber TM dioxide being reduced by
  632. 33:40calcium Vapors to produce Co which is
  633. 33:42solid which can be slagged up and
  634. 33:44titanium which is solid now titanium
  635. 33:48melts at 16
  636. 33:4970° calcium boils at 14 92° cenr calcium
  637. 33:54melts only at
  638. 33:56260 so it is a very complicated reaction
  639. 34:00because we are not able to get liquid
  640. 34:02phases very easily so thermodynamics
  641. 34:07gives us guidance about what should be
  642. 34:10the temperature uh etc etc but then in
  643. 34:14practice we need to do a lot more
  644. 34:17things this we would can discuss only
  645. 34:21when we come to uh extraction of
  646. 34:23individual Metals now before we before I
  647. 34:27end this
  648. 34:29lecture I want to say something about
  649. 34:32structure of
  650. 34:39slags generally in an
  651. 34:42ore we have metallic
  652. 34:48values means minerals and we have gang
  653. 34:52gang means things we do not want like
  654. 34:55silica alumino silicates other things
  655. 34:59now when we do
  656. 35:01smelting by Say by reducing agent and we
  657. 35:04add a flux the flux is
  658. 35:08limestone quartz Etc the whole idea is
  659. 35:12to produce a
  660. 35:16liquid silicate
  661. 35:21phase which takes out many impurities
  662. 35:24which separates out from the metal and
  663. 35:26so that we have a clean separation
  664. 35:29between slag and metal how do
  665. 35:32we create a fluid
  666. 35:36slag to that we have to go into a bit of
  667. 35:39discussion of silicate
  668. 35:43structures pure
  669. 35:45silica sio2 although it is written like
  670. 35:50this it is not made up of molecules of
  671. 35:54ao2 silicon actually is
  672. 35:58bonded
  673. 35:59to four oxygen
  674. 36:02atoms this is
  675. 36:05the basic unit and many such units
  676. 36:09attach themselves to one
  677. 36:12another like
  678. 36:23this so in
  679. 36:26si2 there
  680. 36:28are these tetrahedral things attached to
  681. 36:32each other so that the entire mass is
  682. 36:34actually one molecule in theory and that
  683. 36:37is
  684. 36:38why molten silica is very viscous
  685. 36:43because it it is the flow unit is very
  686. 36:45large of course if one raises the
  687. 36:49temperature too high then many of these
  688. 36:51bonds will break thermally so we make
  689. 36:54smaller and smaller flow units
  690. 36:58but there is a very clever way we can
  691. 37:01make silica less
  692. 37:04viscous and this
  693. 37:06is if let us
  694. 37:11represent the basic silica structure by
  695. 37:15two dimension in two Dimension these are
  696. 37:18oxygen
  697. 37:20atoms if we add to this silica which is
  698. 37:23an acid oxide a basic oxide like calcium
  699. 37:26oxide which gives
  700. 37:32calcium this
  701. 37:34oxygen goes and breaks a silicon oxygen
  702. 37:39Bond so it splits we from a big flow
  703. 37:44unit we create two smaller flow
  704. 37:47units and then it becomes less viscous
  705. 37:52so we can represent the
  706. 37:54reaction in a in a thing like this
  707. 38:05this will happen with metal oxide you
  708. 38:06have
  709. 38:14added we have broken it
  710. 38:18into and the metalon is hanging
  711. 38:22around now in
  712. 38:25silica the more more calcium oxide you
  713. 38:29add the more fluid it becomes because
  714. 38:32the more bonds are broken the flow units
  715. 38:36become smaller and smaller and
  716. 38:38smaller but there's a limit to that this
  717. 38:42once you have broken it down to the
  718. 38:45smallest unit which is
  719. 38:51Si you cannot break it any
  720. 38:54further so we have a long chain or a
  721. 38:58complicated thing you keep on breaking
  722. 39:00and finally this is the smallest unit
  723. 39:03and this happen when
  724. 39:072/3 calcium
  725. 39:10oxide and there is
  726. 39:131/3
  727. 39:14S2 it's very easy to understand why this
  728. 39:17is so because from stomri region if you
  729. 39:22have added sufficient amount of oxygen
  730. 39:25sio2 has to
  731. 39:28go down to the smallest unit now the lot
  732. 39:31of work has been done on structure of
  733. 39:33silicates and it it's a very vast
  734. 39:35subject I don't want to go into that but
  735. 39:38you should understand that there is a
  736. 39:41concept of
  737. 39:45acidity and basicity in
  738. 39:50slags acid slacks are where
  739. 39:55silica is on the highest side basic
  740. 39:58slids are where calcium oxide is on the
  741. 40:01high side why this is a base this is
  742. 40:04called a base because it
  743. 40:07donates oxygen it donates
  744. 40:13oxygen it is called an acid
  745. 40:16oxide because it
  746. 40:20accepts oxygen for breaking into smaller
  747. 40:24and smaller unit don't think only
  748. 40:26calcium oxide is the basic
  749. 40:30oxide feo
  750. 40:33CAO MGO they are all basic
  751. 40:38oxides al23 we call it is an OTC oxide
  752. 40:42it sometimes it acts as a
  753. 40:45base that it donates oxygen ion
  754. 40:48sometimes it acts as an acid it adds
  755. 40:51oxygen depending on the
  756. 40:54composition it will be enough for you to
  757. 40:57know that if the slag is
  758. 41:00viscous it's flowing it a large because
  759. 41:04there are polymeric silicon oxygen units
  760. 41:07in that it can be made fluid by adding
  761. 41:11basic oxides like calcium oxide this is
  762. 41:13the most
  763. 41:14common magnesium oxide also will make it
  764. 41:18fluid but not all basic oxides are
  765. 41:22equally effective in reducing the uh the
  766. 41:26the viscosity of a I2 in other words the
  767. 41:30basicity of different
  768. 41:33oxides are different so we actually have
  769. 41:36a basicity scale of different oxides
  770. 41:41calcium oxide is high PG MGO is not so
  771. 41:46strong a base weaker bases are
  772. 41:49a then there are even other oxides which
  773. 41:52are even weaker there are many
  774. 41:54definitions of
  775. 41:56basicity the
  776. 41:58commonest definition of basicity
  777. 42:01is CAO by
  778. 42:06S2 and very often you'll see in pyromet
  779. 42:09as operation they will say this slag is
  780. 42:12maintained with a basicity of so and
  781. 42:16so there there are modifications
  782. 42:18required of this if there are other
  783. 42:19oxides coo plus
  784. 42:23mg by S2 is another definition
  785. 42:27commonly used in the industry some
  786. 42:30people say since MJ is not as effective
  787. 42:32as coo it should be written as two two3
  788. 42:36some people say under certain conditions
  789. 42:39the basicity index is best written as Al
  790. 42:42203 plus si2 etc etc so in all
  791. 42:46pyrometric logical
  792. 42:49operations the operator wants to know
  793. 42:52what is the basicity of the slag or is
  794. 42:54often advised about the basicity of slag
  795. 42:57because proper basicity defines proper
  796. 43:02viscosity of slag so the viscosity of
  797. 43:06slag which is a
  798. 43:11crucial parameter in pomological
  799. 43:14operations depends on
  800. 43:18temperature because the higher the
  801. 43:20temperature lower will be the viscosity
  802. 43:23no matter what slag is it because at
  803. 43:26higher temperature
  804. 43:27bonds tend to break and the other will
  805. 43:33vity so
  806. 43:36temperature should be
  807. 43:38high basicity should be high to lower
  808. 43:44viscosity or increase
  809. 43:46fluidity there are also some fluidizing
  810. 43:48agents like calcium fluide which when
  811. 43:52added increases fluidity of slag now
  812. 43:56slag basicity control is very important
  813. 44:00in the industry and there is a common
  814. 44:03saying that any many pyral
  815. 44:07operations the aim is to look at the
  816. 44:10slag if the slag is right the metal
  817. 44:13would be right this was particularly so
  818. 44:16for Blast Furnace
  819. 44:17operation in Blast
  820. 44:20Furnace you have a slag layer covering
  821. 44:24the metal
  822. 44:26layer and the slag layer is has many
  823. 44:29functions first of all it is covering
  824. 44:31the metal layer that is whatever gaseous
  825. 44:35atmosphere is there on top of the slag
  826. 44:37is away from the
  827. 44:39metal between slag and metal all kinds
  828. 44:42of slag metal reactions are taking place
  829. 44:45depending on the uh chemistry of the
  830. 44:47slag so the slag chemistry and slack
  831. 44:52properties are of vital
  832. 44:54importance a simple example I have to to
  833. 44:57go for that to Iron and
  834. 44:59Steel perhaps you know that one of the
  835. 45:03problems
  836. 45:05of slags in blast furnace was because of
  837. 45:10alumina high
  838. 45:13alumina that came from Iron ORS Indian
  839. 45:17ORS are very good but aluminia comes
  840. 45:19from more as well as some
  841. 45:21from Coke and Indian slags used to be
  842. 45:26very highly VIs discuss because of Al
  843. 45:28203
  844. 45:29content many efforts have been made to
  845. 45:32remove Al 203 for my but it's very
  846. 45:35difficult so it will end up with slag
  847. 45:38with lot of alumina high
  848. 45:42viscosity many efforts
  849. 45:44were there to find out how to bring down
  850. 45:48this l23 content you cannot simply go on
  851. 45:51adding a lot of calcium oxide increase
  852. 45:54the basicity that will increase the um
  853. 45:57volume of slag and increasing the
  854. 46:00basicity will also have effect on slag
  855. 46:03metal reactions finally the adverse
  856. 46:06effect of
  857. 46:07l23 was met by adding
  858. 46:12mgu and many blastness operations were
  859. 46:17found to be Optimum with addition of 9%
  860. 46:22NGO that took care of high alumina in
  861. 46:25the slag which was going to increase is
  862. 46:27the basicity the viscosity viscosity was
  863. 46:30brought down by m now why I'm saying
  864. 46:33these things is that you often come
  865. 46:37across terms like basic
  866. 46:42slag neutral
  867. 46:46slag acid
  868. 46:50slag generally by basic slag it will
  869. 46:55mean
  870. 47:01CAO by
  871. 47:03sio2 more than
  872. 47:072 Mo in this case coo by sio2 neutal
  873. 47:13slag will be two acid slag will Mo
  874. 47:18coo by S2 less than two I'm writing coo
  875. 47:23in in case there is MGO that has to come
  876. 47:25here again so you can say m Mo by
  877. 47:31A2 basic oxides and acid oxide they
  878. 47:35ratio governs the basicity neutrality or
  879. 47:39acidity of
  880. 47:46SL I think with that it's time
  881. 47:50to wind up this
  882. 47:54lecture I have mainly discussed
  883. 47:56discussed here the use of eling gam
  884. 48:00diagrams to understand reduction of
  885. 48:03oxides by
  886. 48:04carbon and reduction of oxides by Metals
  887. 48:08which
  888. 48:10form more stable
  889. 48:13oxides I've have talked about
  890. 48:15calcination roasting
  891. 48:18smelting and when we talked about
  892. 48:21smelting I mentioned that in
  893. 48:24smelting you have to have a slap phase
  894. 48:28in contact with either a metal phase or
  895. 48:31a matte phase a matte phase is not a
  896. 48:34metal phas it's a mixture of
  897. 48:38sulfites but when you have a
  898. 48:40slag the first Criterion for this flag
  899. 48:44must be that it should be
  900. 48:47fluid that it should be
  901. 48:50easily taken out it should be easily
  902. 48:53Tapped Out it should separate out very
  903. 48:56easily
  904. 48:57from the metal phase so we have liquid
  905. 49:01liquid
  906. 49:03separation
  907. 49:05sometimes it is also important to
  908. 49:08control the chemistry of the slag just
  909. 49:11making it fluid is not enough it should
  910. 49:14have such
  911. 49:15a chemical
  912. 49:18composition that some reactions that are
  913. 49:21favorable to produce a purer metal are
  914. 49:25possible
  915. 49:27like maybe the composition will be such
  916. 49:32that it will this lag phase will absorb
  917. 49:34sulfur or phosphorus and other things
  918. 49:37that you do not want in the metal
  919. 49:39phas so not only fluidity is important
  920. 49:44but chemistry is also
  921. 49:48important but slag phase is a vital
  922. 49:50phase and slack
  923. 49:54chemistry physical properties of the
  924. 49:56slack
  925. 49:57they form a very important part of
  926. 50:00pomological
  927. 50:03operations I think I will end the
  928. 50:06lecture on pyromet reactions right now
  929. 50:10in the next lecture I will move into
  930. 50:14hydrology and try to discuss some of the
  931. 50:16basic principles of hydrology thank
  932. 50:25you
  933. 50:32[Music]

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