Part II, Measures Other Than Conversion I. Apr/ Spring 1

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Theodore Benedict Stafford
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1 Pt II, Msus Oth hn onvsion I p/7 11 Sping 1

2 Pt II, Msus Oth hn onvsion II p/7 11 Sping

3 . pplictions/exmpls of th RE lgoithm I Gs Phs Elmnty Rction dditionl Infomtion Only fd P = 8. tm = 5 K =. mol/dm 3 k =.5 dm 3 /mol s v o =.5 dm 3 /s Solv fo X =.9 fo is limiting p/7 11 Sping 3

4 . pplictions/exmpls of th RE lgoithm II Rcto Mol lnc Rt Lw Stoichiomty tch t X dx k Gs: = SR X k Gs: =, P =P PR X dx k Gs: =, P =P p/7 11 Sping 4

5 . pplictions/exmpls of th RE lgoithm III Rcto Stoichiomty tch P mol? (1 X (1 X SR PR P mol ½ ε = 1.(1- ½ = -.5 P mol ½ ε = 1.(1- ½ = -.5 v v (1 X (1 εx (1 X (1 εx p/7 11 Sping 5

6 . pplictions/exmpls of th RE lgoithm I Rcto Stoichiomty 3 tch ( 1 X X SR PR v v X (1 εx 1 ( X (1 εx p/7 11 Sping 6

7 . pplictions/exmpls of th RE lgoithm Rcto ombin Intgtion tch t 1 k X 1 (1 X dx t 1 k X (1 X SR PR X (1.5X k (1 X k X (1.5X (1 X dx k ε(1 ε ln(1 X (1 ε X ε X 1 X p/7 11 Sping 7

8 . pplictions/exmpls of th RE lgoithm I Rcto Evlut o X =.9 tch SR k = (.5(. =.1 s -1 k = (.5(. =.mol/dm 3 s = v = (.(.5 =.5 mol/s t = 9 s = 68.6 dm 3 τ = /v = 7.3 s PR = 9.7 dm 3 τ = /v = 36.3 s p/7 11 Sping 8

9 7. Mol lncs on 4 sic Rctos I o Liquid phs tch SR PR PR d d b nd v d d ( nd v nd b v v( ( b / d d b d ' d v b ' nd v dw dw c d p/7 11 Sping 9

10 7. Mol lncs on 4 sic Rctos II p/7 11 Sping 1 o Gs phs 1 P P v v P P v v, R P P P v

11 7. Mol lncs on 4 sic Rctos III o Gs phs 1. Mol blncs tch d d d d b SR PR p/7 11 Sping 11 c d d d d d d d d d

12 7. Mol lncs on 4 sic Rctos I p/7 11 Sping 1 o Gs phs 3. Rt lw 3. Stoichiomty - Rltiv t - hn - oncnttion β α k d c b b c d y y y y, P P y y dw dy

13 7. Mol lncs on 4 sic Rctos p/7 11 Sping 13 o Gs phs 4 - otl mol flow t 4. ombin - Spcify pmt vlus - Spcify nting numbs I β α β α k d d β α β α k b d d β α β α k c d d β α β α k d d d d c b k,,, β, α,,,,,,,

14 8. Micoctos I o sciption - High sufc -to-volum tio in thi mico stuctu gions 1μm wih,,μm lngth ( cm high sufc -to-volum tio c. 1, m /m 3 duc o limint ht & mss tnsf sistncs to study intinsic kintics of ctions isothmlly poduction of toxic o xplosiv intmdits shot sidnc tim now sidnc tim distibution p/7 11 Sping 14

15 8. Micoctos II o Exmpl R -HOH 1 O R -HO HO - 3 micoction systm in plll poduc t/y - Lb-on--chip g p 4, Ex 4-7 p/7 11 Sping 15

16 9. Mmbn Rctos I o sciption - Rlly just plug-flow cto contins n dditionl cylind of som poous mtil within it, kind of lik th tub within th shll of shllnd-tub ht xchng this poous inn cylind is th mmbn tht givs th mmbn cto its nm - h mmbn is bi tht only llows ctin componnts to pss though it slctivity of th mmbn is contolld by its po dimt, which cn b on th od of ngstoms, fo micopoous lys, o on th od of micons fo mcopoous lys p/7 11 Sping 16

17 9. Mmbn Rctos II o Wht is it? - ombin ction with sption to incs convsion nd/o slctivity p/7 11 Sping 17

18 9. Mmbn Rctos III o ypicl ctos 1 - IMR (Int Mmbn Rcto with tlyst Pllts on th d Sid p/7 11 Sping 18

19 9. Mmbn Rctos I o ypicl ctos - MR (tlytic Mmbn Rcto p/7 11 Sping 19

20 9. Mmbn Rctos o Modling 1 - IMR p/7 11 Sping

21 9. Mmbn Rctos I o Modling - hng th lgoithm littl, W (= ρ b mol blnc fo mol blnc fo mol blnc fo d d d d p/7 11 Sping 1 d d In Out Out by by flow by flow iffusion R Gn. ccu. R R

22 9. Mmbn Rctos II o Modling 3 - Rt of mol flux out though th mmbn W k ' ( S - Rt of tnspot out though th mmbn R W olum ' ( S - Lt k = k nd S, k πl π L 4 4 R k p 11, Ex 4-8 p/7 11 Sping

23 9. Mmbn Rctos III o Enhnc slctivity - d spcis to th cto though th sids of mmbn d d R p/7 11 Sping 3

24 1. Unstdy-Stt Option of Stid Rctos I o Sttup of SR 1 - Mol blnc qution d - o btch cto, convsion mns littl d τ τ - 1 st od xn d τk τ - With initil conditions = t t = 1 τk τ 1 1 xp (1 τk p/7 11 Sping 4 t τ

25 1. Unstdy-Stt Option of Stid Rctos II o Sttup of SR - Stdy stt nlysis ssum tim to ch 99% of st-st conc., S S 1 =.99 S τk τ τk fo slow xn with smll k (1» τk fo pid xn with lg k (1 «τk t S t S 4.6τ t S 4.6 / most 1 st -od systm, st-st chivd in 3 ~ 4 spc tim k p/7 11 Sping 5

26 1. Unstdy-Stt Option of Stid Rctos III o Smibtch cto 1 - Motivtion to obtin high slctivity mintin t high conc. fd s low s possibl p/7 11 Sping 6

27 1. Unstdy-Stt Option of Stid Rctos I o Smibtch cto - Mol blnc qution 1 Rt in Rt out d( d Rt of Gntion ( t d Rt of ccum d p/7 11 Sping 7

28 1. Unstdy-Stt Option of Stid Rctos o Smibtch cto 3 - Mol blnc qution d( d d - Sinc th cto is bing filld, vis Rt in Rt out ρ v Rt of Gntion Rt of ccum d(ρ p/7 11 Sping 8

29 1. Unstdy-Stt Option of Stid Rctos I o Smibtch cto 4 - onstnt dnsity d d t - With initil condition = t t = - lnc on cn b wittn s - o, w hv gntion tm, blnc on cn b v vt d v d v ( p/7 11 Sping 9

30 1. Unstdy-Stt Option of Stid Rctos II o Smibtch cto sign qutions in tms of convsion 1 fo spcis # of mols of in th vt t tim t X fo spcis # of mols of in th vt t tim t # of mols of in th vt initilly # of mols of in th vt initilly # of mols of ctd up to tim t t p/7 i 11 Sping X 3 # of mols of ddd to th vt # of mols of ctd up to tim t

31 1. Unstdy-Stt Option of Stid Rctos III o Smibtch cto 6 - sign qutions in tms of convsion fo constnt mol fd t & no initilly t X mol blnc on spcis d fo vsibl nd od xn + k dx dx k (1 X ( i t X ( X / K vt vt p/7 11 Sping 31 + K clling vt (1 X i t X X vt vt vt X

32 1. Unstdy-Stt Option of Stid Rctos IX p/7 11 Sping 3 o Smibtch cto 7 - Equilibium convsion 1 t tim t, quilibium convsion fo + + K X t 1 ( thn, ( (1 ( (1 ( ( X X X K K t X t X X X t X X X K

33 1. Unstdy-Stt Option of Stid Rctos X o Smibtch cto Equilibium convsion t smibtch cto X K 1 t K 1 ( K t 1 4( K 1 K t p/7 11 Sping 33

34 1. Unstdy-Stt Option of Stid Rctos XI o Rctiv distilltion - pplicbl to vsibl, liquid phs ctions th quilibium point lis f to th lft nd littl poduct is fomd if on o mo of th poducts movd mo of th poduct will b fomd bcus of L htli's Pincipl p/7 11 Sping 34

C-Curves. An alternative to the use of hyperbolic decline curves S E R A F I M. Prepared by: Serafim Ltd. P. +44 (0)

C-Curves. An alternative to the use of hyperbolic decline curves S E R A F I M. Prepared by: Serafim Ltd. P. +44 (0) An ltntiv to th us of hypolic dclin cuvs Ppd y: Sfim Ltd S E R A F I M info@sfimltd.com P. +44 (02890 4206 www.sfimltd.com Contnts Contnts... i Intoduction... Initil ssumptions... Solving fo cumultiv...