Copper (II) Uptake by Adsorption Using Palmyra Palm Nut
|
|
- Noel Floyd
- 5 years ago
- Views:
Transcription
1 Availabl onlin a Plagia Rsarch Library Advancs in Applid Scinc Rsarch, 0, (6):66-75 ISSN: CODEN (USA): AASRFC Coppr (II) Upak by Adsorpion Using Palmyra Palm Nu Josph T. Nwabann* and Philomna K. Igbokw Dparmn of Chmical Enginring, Nnamdi Azikiw Univrsiy, P.M.B. 505, Awka, Nigria _ ABSTRACT Th rmoval of coppr () from aquous soluion using palmyra palm nu (PPN) as ponial raw marial for h prparaion of acivad carbon was invsigad. Chmical acivaion using phosphoric acid (H 3 PO 4 ) was mployd for h prparaion of acivad carbon. Th ffc of various facors namly ph, adsorbn dosag, and adsorbn paricl siz was sudid o idnify h adsorpion capaciy of palmyra palm nu. Th prcnag of Cu + adsorbd was found o b dpndn on adsorbn dosag, ph and paricl siz. Adsorpion daa wr modld using Langmuir, Frundlich and Dubinin-Radushkvich quaions. Th quilibrium daa was bs dscribd by Frundlich modl. Th kinic daa wr also applid o h psudo firsordr, psudo scond-ordr and Bhaacharya-Vnkobachor modls. Th kinic daa followd all h hr kinic modls bu psudo scond-ordr modl bs dscribd kinics of h adsorpion procss. I is sn from h work ha palmyra palm nu, a low-cos adsorbn, can b usd for h rmoval of Cu + from aquous soluion. Ky words: Kinics, adsorpion, upak, coppr, palmyra palm nu. _ INTRODUCTION Th progrssiv incras of indusrializaion in Nigria has rsuld in coninuous incras of polluion of boh surfac and ground wars. Wih h rapid dvlopmn of chmical, polymr, procssing and prolum procssing indusris, hr is a rapid incras in h amoun and h variy of chmicals ha ar hrown ino h wars. Effor has bn dvod owards minimizing hs hazardous polluans so as o avoid hir dangrous ffcs on animals, plans and humans. Svral biological and chmical mhods such as filraion, coagulaion, oxidaion, and ionxchang hav bn usd for h ramn of was war, bu h coninuing incras in h variy and h amoun of hazardous chmicals prsn in our laks, rivrs and somims ground war rsrvs mak hs convnional mhods infficin and somims inffciv []. Consqunly, h dvlopmn of nw and mor ffciv chnologis bcoms ssnial. Acivad carbon adsorpion has bn givn anion in rcn im by many sciniss. Bu Plagia Rsarch Library 66
2 Josph T. Nwabann al Adv. Appl. Sci. Rs., 0, (6):66-75 commrcially availabl acivad carbons ar sill xpnsiv [,3,4]. As a rsul of his, many rsarchrs hav sudid chapr alrnaivs, which ar rlaivly inxpnsiv, and qually ndowd wih rasonabl adsorpiv capaciy. Among hs sudis ar h us of ric husk [5], almond shll [6] and palm krnl shll [7]. Havy mal ions ar classifid as prioriy polluans [8]. Ths havy mals ar no biodgradabl and hir prsnc in wars lads o bioaccumulaion in living organisms causing halh problms in animals, plans, and human bings [9]. Coppr is mal ha has a wid rang of applicaions du o is good propris. I is usd in lcronics, for producion of wirs, shs, ubs, and also o form alloys. Sinc coppr is a widly usd marial, hr ar many acual or ponial sourcs of coppr polluion. Coppr may b found as a conaminan in food, spcially shllfish, livr, mushrooms, nus, and chocola. Coppr is ssnial o lif and halh bu, lik all havy mals, is ponially oxic as wll. For xampl, coninud inhalaion of copprconaining spray is linkd wih an incras in lung cancr among xposd workrs. For drinking war, h maximum prmissibl limi of coppr is.5mg/l [0]. Th maximum concnraion allowd for discharg ino inland war is lss han mg/l []. This work was undrakn o sudy h rmoval of coppr (II) from aquous soluion by adsorpion using palmyra palm nu as a low cos raw marial for h prparaion of acivad carbon. MATERIALS AND METHODS Prparaion of acivad carbon Palmyra palm nus wr obaind from h prmiss of Nnamdi Azikiw Univrsiy, Awka, Nigria. Th palm nus wr washd wih dionizd war, drid in h sun, ground ino fin paricls and sivd o a paricl siz of 300µm. 00g of sampl was imprgnad wih concnrad orhophosphoric acid a h raio of : (w %). Th imprgnad sampl was drid in a Mmmr ovn a 0 0 C for 4hrs. Th drid sampl was carbonizd in a Muffl furnac a C for hours. Afr cooling o h ambin mpraur, h sampl was washd svral ims wih d-ionizd war unil ph 6-7, filrd wih Whaman No. filr papr and drid in h ovn a 0 0 C for 8hours. Th sampl was crushd and passd hrough diffrn siv sizs and hn sord in a igh bol rady for us. Characrizaion of acivad carbon Drminaion of ph of acivad carbon. Th ph of h carbon was drmind using sandard s of ASTM D []. Drminaion of moisur conn. Moisur conn of acivad carbon and raw marials was drmind using ASTM D [3]. Drminaion of bulk dnsiy of acivad carbon. Th bulk dnsiy of h acivad carbon was drmind according o h amping procdur by Ahmdna al [4]. Drminaion of volail conn..0g of sampl was wighd and placd in a parially closd crucibl of known wigh. I was had in a muffl furnac a C for 0mins. Plagia Rsarch Library 67
3 Josph T. Nwabann al Adv. Appl. Sci. Rs., 0, (6):66-75 Drminaion of prcnag fixd carbon. Th prcnag fixd carbon is givn by: 00 (Moisur conn + ash conn + volail mar) %. Drminaion of iodin numbr of acivad carbon. Th iodin numbr was drmind basd on ASTM D [5] by using h sodium hiosulpha volumric mhod. Drminaion of surfac ara: Th spcific surfac ara of h acivad carbon was simad using Sar s mhod [6, 7]. Adsorba prparaion and adsorpion sudy Th ragn usd was coppr sulpha (CuS0 4 ) and d-ionizd war. Th ragns wr of high grad. Th sampl (CuS0 4 ) was drid in an ovn for hrs a 05 0 C o rmov moisur..5g of CuS0 4 was dissolvd in 000ml of d-ionizd war o g h sock soluion of 000g/l. A prdrmind amoun of acivad carbon was addd o 00ml of h 00mg/l of adsorba in a conical flask and placd on a magnic sirrr. Th sirring was don a diffrn mpraur for diffrn ims. Afr adsorpion is compl, h soluion was filrd using Whaman no. filr papr. Th rsidual Cu + concnraion of h fflun was drmind spcrophoomically using aomic adsorpion spcrophoomr a 34.8nm wavlngh. Th adsorpion capaciy, q (mg/g) and prcnag adsorbd wr calculad from quaion () and quaion () rspcivly. q = [( C C ) V / m] o % Adsorbd = [( C C ) / C ] x 00 o Whr, C o and C ar h mal concnraions (mg/l) a iniial and any im, rspcivly, V h volum of h soluion (L), and m h mass of adsorbn usd (g).th ffcs of paricl siz, adsorbn dosag, ph wr sudid. RESULTS AND DISCUSSION Characrisics of acivad carbon drivd from palmyra palm nu: Th physico-chmical characrisics of acivad carbon ar shown in Tabl. Tabl : Physico-chmical characrisics of acivad carbon drivd from palmyra palm nu. Propris Valus ph 6.8 Bulk dnsiy, g/cm Iodin numbr, mg/g Moisur conn, % 4.0 Volail mar, % 8.4 Ash conn, % 3.40 Fixd carbon, % Surfac Ara, m /g Effc of adsorpion dosag on h adsorpion procss Adsorpion dosag drmins h capaciy of an adsorbn for a givn iniial concnraion of h adsorba. Th rsul showd ha as h adsorbn dosag incrasd, h prcnag of o Plagia Rsarch Library 68
4 Josph T. Nwabann al Adv. Appl. Sci. Rs., 0, (6):66-75 adsorpion also incrasd bu h amoun adsorbd pr uni mass of h adsorbn dcrasd considrably (Figur ). Th dcras in uni adsorpion wih incrasing dos of adsorbn is basically du o adsorpion sis rmaining unsaurad during h adsorpion racion [8]. Figur rvals a dfini incras in h adsorpion capaciy of h adsorbn wih dosag. This is aribud o h largr numbr of availabl adsorpion sis favouring h nhancd upak of h mal ions [9]. Fig. : Effc of adsorbn dosag on h adsorpion of Cu + on PPN Effc of paricl siz on h adsorpion procss Th rmoval of Cu + a diffrn paricl sizs showd ha h rmoval ra incrasd br wih a dcras in paricl siz (Figur ). This sam rnd was rpord by Dmirbas al [6].Th rlaivly highr adsorpion wih smallr adsorba paricl may b aribud o h fac ha smallr paricls yild larg surfac ara. Thr is a ndncy ha a smallr paricl producs shorr im o quilibrium. Fig. : Effc of paricl siz on h adsorpion of Cu + on PPN Effc of ph on h adsorpion procss ph is on of h mos imporan nvironmnal facors influncing no only si dissociaion, bu also h soluion chmisry of havy mal: hydrolysis, complxaion by organic and/or inorganic ligands, rdox racions, and prcipiaion ar srongly influncd by ph and on h ohr hand, i Plagia Rsarch Library 69
5 Josph T. Nwabann al Adv. Appl. Sci. Rs., 0, (6):66-75 srongly influncs h spciaion and adsorpion availabiliy of havy mals [0]. Figur 3 prsns h ffc of ph on h rmoval of Cu +. Th adsorpion of h Cu + incrasd wih incrasing ph. Th maximum Cu + adsorpion for all h adsorbns was obaind a ph 7. Cu + adsorpion dcrasd as ph ros byond h opimum ph. Fig. 3: Effc of ph on h adsorpion of Cu + on PPN Adsorpion Isohrm Langmuir isohrm modl Th Langmuir adsorpion modl is givn by: b C q = Q + b C 3 Th Langmuir quaion can b dscribd by h linarizd form [0, ]. C = + C q Qob Q 4 o Whr C is h quilibrium concnraion of h adsorba, q h amoun of adsorba pr uni mass of adsorbn (mg/g), and Q 0 and b ar Langmuir consans rlad o adsorpion capaciy and ra of adsorpion, rspcivly. Whn C /q is plod agains C, sraigh lin wih slop /Q 0 indicas ha adsorpion follows h Langmuir isohrm. Th Langmuir consans, Q 0 and b wr valuad from h inrcp and h slop of h linar plo of xprimnal daa of /q vrsus /c and prsnd in Tabl. Th ssnial characrisics of h Langmuir quaion can b xprssd in rms of a dimnsionlss sparaion facor, R L, dfind as []. R L = + bc O whr C o is h iniial ion concnraion. Th R L valu implis h adsorpion o b unfavourabl (R L > ), Linar (R L =), favourabl (O<R L <), or irrvrsibl (R L =0). R L valus for Cu + adsorpion wr lss han and grar han zro indicaing favourabl adsorpion undr 5 Plagia Rsarch Library 70
6 Josph T. Nwabann al Adv. Appl. Sci. Rs., 0, (6):66-75 condiions usd in his sudy (Tabl ). Th corrlaion cofficin showd ha adsorpion of Cu + on PPN did no followd Langmuir. Frundlich Isohrm Th Frundlich adsorpion isohrm [3] is / n q = K C 6 F A linar form of his xprssion is: log q = log K + / logc 7 F n Whr K F and n ar Frundlich consans, n giving an indicaion of how favourabl h adsorpion procss is and K F is h adsorpion capaciy of h adsorbn. K F and n ar drmind from h linar plo of log q vrsus log C. From h linar plos of log q vrsus log C, valus of Frundlich consans K F and n wr calculad from h inrcp and slop, rspcivly, and ar prsnd in Tabl. Th magniud of h xponn, n givs an indicaion of h favourabiliy and capaciy of h adsorbn/adsorba sysm. Karhikyan al [9] has rpord ha n valus bwn and 0 rprsn favourabl adsorpion condiions. In his work, h xponn rangd from.605 o.675 showing bnficial adsorpion for h sysm. Th corrlaion cofficins, R ranging from o indicad h Cu + adsorpion followd Frundlich isohrm modl. Similar rsuls wr obaind by Aksu and Tzr [4]. Dubinin-Radushrich isohrm modl Th Dubinin Radushkvich quaion has h following form: q = q βε m 8 A linar form of Dubnin Radushkvich quaion isohrm [] is: Inq = Inqm βε 9 q is h Dubinin Radushkvich monolayr capaciy ( ) β Whr m mmol / g, a consan rlad o sorpion nrgy, and ε is h Polanyi ponial which is rlad o h quilibrium concnraion as follows: ε = RT In + 0 C Whr, R is h gas consan ( 8.3J / mol K ) and T is h absolu mpraur. Th consan β givs h man fr nrgy, Ε, of sorpion pr molcul of h sorba whn i is ransfrrd o h surfac of h solid from infiniy in h soluion and can b compud using rlaionship [5]. E = β Plagia Rsarch Library 7
7 Josph T. Nwabann al Adv. Appl. Sci. Rs., 0, (6):66-75 Th Dubinin-Radushkrich consans wr valuad and givn in Tabl. Th corrlaion cofficins wr drmind as shown in Tabls. R indicad ha h adsorpion of Pb + did no follow h Dubinin-Radushkrich isohrm. If h man fr nrgy, E is <8KJ/mol, h adsorpion is physisorpion and if h nrgy of acivaion is 8-6KJ/mol, h adsorpion is chmisorpion in naur [6]. Rsuls of E obaind indicad ha adsorpion of Pb + on all h NPN is physisorpion. Tabl : Calculad isohrm paramrs for h adsorpion of Cu + on PPN Isohrm modl Tmpraur, K Langmuir Q (mg/g) b (L/mg) R L R Frundlich N K f (L/g) R Dubinin-Radushkvich q D (mg/g) β (mol /J ) 6x0-8 x0-7 3x0-7 E (KJ/mol) Adsorpion Kinics Psudo firs-ordr kinic modl Th Psudo firs-ordr kinic modl was proposd by Lagrgrn [7]. Th quaion is gnrally xprssd as dq = K I ( q q ) d Whr, q and q ar h adsorpion capaciy a quilibrium and a im, rspcivly (mgg - ), K is h ra consan of psudo firs -ordr adsorpion (L min - ). Afr ingraion and applying boundary condiions, = 0 o = and q = 0 o q = q, h ingrad form of quaion.6 bcoms: K log ( q q ) = log ( q ) Th valus of log (q q ) ar linarly corrlad wih. Th slop and inrcp of plos of log (q -q ) vrsus wr usd o drmin h psudo-firs ordr ra consans, K and q a diffrn mpraurs. Th rsuls of h q and K wr valuad and lisd in Tabl 3. Th corrlaion cofficins rangd from o indicaing ha Pb + adsorpion fid wll o psudo firsordr kinic quaion. Plagia Rsarch Library 7
8 Josph T. Nwabann al Adv. Appl. Sci. Rs., 0, (6):66-75 Psudo scond- ordr modl Th adsorpion kinics may also b dscribd by a psudo scond-ordr quaion [8, 9, 30]. dq d = K 4 ( q q ) Ingraing quaion.9 and applying h boundary condiion = 0 o = and q = 0 o q = q, givs q q = + K 0 q 5 Equaion (.0) can b rarrangd o obain a linar form: = + 6 q K q q Whr, K is h ra consan, of psudo scond-ordr adsorpion (gmg - min - ). Th slop and inrcp of plo of /q vrsus wr usd o calcula h psudo scond-ordr ra consan, a diffrn mpraurs. Tabl 3 liss h rsuls of h ra consan and q by psudo scondordr modls. Th corrlaion cofficin, R for h psudo scond-ordr adsorpion modl has high valu (> 0.984). Is calculad quilibrium adsorpion capaciy, q is consisn wih xprimnal daa. Ths facs suggs ha h psudo scond-ordr adsorpion mchanism is prdominan. Similar phnomna hav also bn obsrvd in h adsorpion of dirc dy on palm ash []. Bhaacharya Vnkobachor kinic modl Bhaacharya Vnkobachor modl [3] is xprssd as Ln U [ ] = U ( ) K B. 7 ( ) ( Co C ) ( Co C ) = / 8 Th ffciv diffusion cofficin D, is obaind from h quaion: KB. r D = 9 π Whr, r is paricl radius. From h plo of In [-U ()] vs, h ffciv diffusion cofficin D and ra consan, K B wr obaind and prsnd in Tabl 3. Th ffciv diffusion cofficins drmind ar in h rang of 4.55x0-0 o 3.36x0-0 m /s. Th kinic daa also followd Bhaacharya Vnkobachor modl. Plagia Rsarch Library 73
9 Josph T. Nwabann al Adv. Appl. Sci. Rs., 0, (6):66-75 Tabl 3: Calculad kinic paramrs for h adsorpion of Cu + on PPN Kinic modl Tmpraur, K Psudo firs-ordr K (min - ) q (mg/g) R Psudo scond-ordr K (g/mg min) q (mg/g) R Bhaacharya-Vnkobachor K B D (m /s) 3.36x x x CONCLUSION Th rmoval of coppr (II) from aquous soluion using acivad carbon prpard from palmyra palm nu has bn invsigad in his work. Th adsorpion procss showd ha palmyra palm nu was ffciv in h upak of coppr (II) from aquous soluion. Th amoun of Cu + adsorbd was found o vary wih ph, paricl siz and adsorbn dosag. Adsorpion daa wr fid o Langmuir, Frundlich and Dubinin-Radushkvich quaions. Th adsorpion daa conformd o Frundlich modls. Th adsorpion daa also fid Bhaacharya-Vnkobachor, psudo firs-ordr and psudo scond-ordr modls. Howvr, psudo scond-ordr bs dscribd h adsorpion procss. REFERENCES [] Bansal RC, Goyal M, Acivad Carbon Adsorpion, CRC Prss, USA, 005, -5. [] Chakrabory S, D S, DasGupa S, Basu JK, Chmosphr, 005, 58, [3] Ambdkar G, Muniyan M, Adv. Appl. Sci. Rs, 0, (4), 83 [4] Sivakumar P, Palanisamy N, Adv. Appl. Sci. Rs, 00, (), 58 [5] Malik PK, Dys Pigmns, 003, 56(3), [6] Zawani Z, Luqman CA, Choong TSY, Europan Journal of Scinific Rsarch, 009, 37(), [7] Dmirbas E, Kobya M, Snurk E, Ozkan T, War SA, 004, 30(4), [8] Volsky B, Holan ZR, Biochnology Progrss, 995, (3), [9] Ong S, Sng C, Lim P, EJEAFch. 007, 6 (), [0] World Halh Organizaion (WHO), Guidlins for drinking war, Gnva, 97, [] Fdral Environmnal Polluion Agncy (FEPA), Naural guidlins and sandards for indusrial ffluns, gasous missions and hazardous was managmn in Nigria, Lagos, Nigria, 99, [] Amrican Sociy for Tsing and Marials, Annual Book of ASTM Sandard, Volum 5.0, Rfracoris, Carbon and Graphic Producs; acivad Carbon, ASTM, Philadlphia, PA. 996 Plagia Rsarch Library 74
10 Josph T. Nwabann al Adv. Appl. Sci. Rs., 0, (6):66-75 [3] Amrican Sociy of Tsing and Marials, Sandard s mhods for moisur in acivad carbon. Philadlphia, PA: ASTM Commi on Sandards, 99. [4] Ahmdna M, Johns MM, Clark SJ, Marshall WE, Rao RM, Journal of h Scinc of Food and Agriculur, 997, 75, 7-4. [5] Amrican Sociy for Tsing and Marials, Sandard s mhod for drminaion of iodin numbr of acivad carbon. Philadlphia, PA: ASTM Commi on Sandards. 986 [6] Al-Qodah Z, Shawabkah R, Braz. J. Chm. Eng, 009, 6(), 6. [7] Alzaydian AS, Am. J. Applid Sci, 009, 6(6), [8] Bulu Y, Aydin H, Dsalinaion, 005, 94, [9] Karhikyan G, Analagan K, Andal NM, J. Chm. Sci., 003, 6(), 9-7. [0] Skar M, Sakhi V, Rngaraj S, Journal of Colloid and Inrfac Scinc, 004, 79(), [] Sivakumar P, Palanisamy PN, Inrnaional Journal of Chm. Tc. Rsarch, 009, (3), [] Ahmad AA, Hamd BH, Aziz N, Journal of Hazardous Marials, 006, 094, -0. [3] Ozacar M, Adsorpion, 003, 9, 5-3. [4] Aksu Z, Tzr S, Procss Biochmisry, 000, 36, [5] Lin SH, Juang RS, J. Hazard. Mar, 00, 9, [6] Sarin V, Singh TS, Pan KK, Biorsours Tchnol, 006, 97: [7] Maniais K, Nurmala M, Biomass Enrgy Ind. Environ, 99, 74, [8] Chiou MS, Li HY, J. Hazard. Mar, 00, 93(), [9] Nwabann JT, Igbokw PK, Journal of Enginring and Applid Scinc, 008, 3(), [30] Ho YS, Chiang CC, Adsorpion, 00, 7, [3] Goswami S, Ghosh UC, War SA, 005, 3(4), Plagia Rsarch Library 75
Pelagia Research Library
Availabl onlin a www.plagiarsarchlibrary.com Plagia Rsarch Library Dr Chmica Sinica, 04, 5(): 8-3 ISSN: 0976-8505 CODEN (USA) CSHIA5 Sorpion dynamics of acid and basic dys ono acivad carbon drivd from
More informationCOD removal from industrial wastewater using activated carbon prepared from animal horns
African Journal of Biochnology Vol. 7 (2), pp. 37-3, 5 Novmbr, 2008 Availabl onlin a hp://www.acadmicjournals.org/ajb ISSN 684 535 2008 Acadmic Journals Full Lngh Rsarch Papr COD rmoval from indusrial
More informationRemoval of Atrazine from Aqueous Solutions Using HNO 3 Treated Oil Palm Shell-Based Adsorbent
Rmoval of Arazin from Aquous Soluions Using HNO 3 Trad Oil Palm Shll-Basd Adsorbn I.A.W. Tan, L.L.P. Lim, and K.T. Lim Absrac Acivad carbon is a prominn marial for adsorpion of arazin, howvr is usag is
More informationKeywords: Adsorption modeling, Crystal violet, Isotherms, Kinetics, Natural adsorbent. 1. INTRODUCTION 2. MATERIALS AND METHODS
Inrnaional Journal of Enhancd Rsarch in Scinc Tchnology & Enginring, ISSN: 239-7463 Vol. 4 Issu 6, Jun-25, pp: (55-66), Impac Facor:.252, Availabl onlin a: www.rpublicaions.com Bach Adsorpion Sysm of Hazardous
More informationCd(II) ADSORPTION FROM AQUEOUS SOLUTION BY ACTIVATED CARBON FROM SUGAR BEET PULP IMPREGNATED WITH PHOSPHORIC ACID
Volum No. 9 REPRINT pp. 5-58 Cd(II) ADSORPTION FROM AQUEOUS SOLUTION BY ACTIVATED CARBON FROM SUGAR BEET PULP IMPREGNATED WITH PHOSPHORIC ACID Ahm Özr - Fikr Tümn Angrsr. 855 Frising - Grmany Phon: ++9
More informationDepartment of Chemistry, Thiru Vi Ka Govt. Arts College, Thiruvarur , India. 3
Scholars Journal of Enginring and Tchnology (SJET) Sch. J. Eng. Tch., 24; 2(2B):258-263 Scholars Acadmic and Scinific Publishr (An Inrnaional Publishr for Acadmic and Scinific Rsourcs) www.saspublishr.com
More informationChemically Modified Cornulaca monacantha Biomass for Bioadsorption of Hg (II) from Contaminated Water: Adsorption Mechanism
Journal of Environmnal Procion, 3, 4, 8-89 hp://dx.doi.org/.436/jp.3.4333 Publishd Onlin March 3 (hp://www.scirp.org/journal/jp) Chmically Modifid Cornulaca monacanha Biomass for Bioadsorpion of Hg (II)
More informationUPTAKE OF METHYLENE BLUE DYE FROM AQUEOUS SOLUTIONS ONTO CHEMICAL ACTIVATED CARDOON (CYNARA CARDUNCULUS)
Procdings of h 14 h Inrnaional Confrnc on Environmnal Scinc and Tchnology Rhods, Grc, 3-5 Spmbr 2015 UPTAKE OF METHYLENE BLUE DYE FROM AQUEOUS SOLUTIONS ONTO CHEMICAL ACTIVATED CARDOON (CYNARA CARDUNCULUS)
More informationJournal of Chemical and Pharmaceutical Research, 2014, 6(6): Research Article
Availabl onlin www.jocpr.com Journal of hmical and Pharmacuical Rsarch, 214, 6(6):154-159 Rsarch Aricl ISSN : 975-7384 ODEN(USA) : JPR5 Th adsorpion of nickl ions in auous soluion by chiosan gl bads Muing
More informationEquilibrium Kinetics and Isotherm Studies of Cu (II) Adsorption from Waste Water onto Alkali Activated Oil Palm Ash
Amrican Journal of Applid Scincs 8 (3): 230-237, 20 ISSN 546-9239 200 Scinc Publicaions Euilibrium Kinics and Isohrm Sudis of Cu (II) Adsorpion from Was War ono Alkali Acivad Oil Palm Ash Zaira Zaman Chowdhury,
More informationLecture 2: Current in RC circuit D.K.Pandey
Lcur 2: urrn in circui harging of apacior hrough Rsisr L us considr a capacior of capacianc is conncd o a D sourc of.m.f. E hrough a rsisr of rsisanc R and a ky K in sris. Whn h ky K is swichd on, h charging
More informationThe influences on the Phosphate Removal from Aqueous Solution by using red mud
Inrnaional Journal of Innovaiv Sudis in Scincs and Enginring Tchnology ISSN 2455-4863 (Onlin) www.ijiss.org Volum: 3 Issu: 6 Jun 2017 Th influncs on h Phospha Rmoval from Aquous Soluion by using rd mud
More informationThe Comparison of Red Mud Modification by Acid and Heat for Phosphate Removal from Aqueous Solution
Inrnaional Journal of Innovaiv Sudis in Scincs and Enginring Tchnology ISSN 2455-4863 (Onlin) www.ijiss.org Volum: 2 Issu: 12 Dcmbr 2016 Th Comparison of Rd Mud Modificaion by Acid and Ha for Phospha Rmoval
More informationJMES, 2017 Volume 8, Issue 3, Page ICMES2016, 1-3 Dec. 2016, Oujda
Journal of Marials and Environmnal Scincs ISSN: 08-508 Copyrigh 07, Univrsiy of Mohammd Prmir Oujda Morocco JMES, 07 Volum 8, Issu 3, Pag 784-800 hp://www.jmarnvironsci.com/ ICMES06, -3 Dc. 06, Oujda Dcolourizaion
More informationBiosorption of Azure Dye with Sunflower Seed Hull: Estimation of Equilibrium, Thermodynamic and Kinetic Parameters
Inrnaional Journal of Enginring Rsarch and Dvlopmn -ISSN: 2278-67X, p-issn: 2278-8X, www.ijrd.com Volum, Issu 6 (Jun 24), PP.26-4 Biosorpion of Azur Dy wih Sunflowr Sd Hull: Esimaion of Equilibrium, Thrmodynamic
More informationUNIT #5 EXPONENTIAL AND LOGARITHMIC FUNCTIONS
Answr Ky Nam: Da: UNIT # EXPONENTIAL AND LOGARITHMIC FUNCTIONS Par I Qusions. Th prssion is quivaln o () () 6 6 6. Th ponnial funcion y 6 could rwrin as y () y y 6 () y y (). Th prssion a is quivaln o
More informationBiosorption of acid dyes using spent brewery grains: Characterization and modeling
Inrnaional Journal of Applid Scinc and Enginring 2009. 7, 2: 115-125 Biosorpion of acid dys using spn brwry grains: Characrizaion and modling Dr.V.Jaikumar a, *, K.Sahish Kumar b, D.Gnana Prakash b a Dparmn
More informationReceived 28 May, 2018; Accepted 6 June, 2018.
Vol. (8), pp. xxx-xxx, Augus 8 DOI:.5897/AJEST8.xxxx Aricl Numbr: xxxxx ISSN: 996-786 Copyrigh 8 Auhor(s) rain h copyrigh of his aricl hp://www.acadmicjournals.org/ajest African Journal of Environmnal
More informationComparative analysis of the efficiencies of two low cost adsorbents in the removal of Cr(VI) and Ni(II) from aqueous solution
African Journal of Environmnal Scinc and Tchnology Vol. 3 (11), pp. 360-369, Novmbr 2009 Availabl onlin a hp://www.acadmicjournals.org/ajs ISSN 1991-637X 2009 Acadmic Journals Full Lngh Rsarch Papr Comparaiv
More informationSpring 2006 Process Dynamics, Operations, and Control Lesson 2: Mathematics Review
Spring 6 Procss Dynamics, Opraions, and Conrol.45 Lsson : Mahmaics Rviw. conx and dircion Imagin a sysm ha varis in im; w migh plo is oupu vs. im. A plo migh imply an quaion, and h quaion is usually an
More informationAn Indian Journal FULL PAPER. Trade Science Inc. A stage-structured model of a single-species with density-dependent and birth pulses ABSTRACT
[Typ x] [Typ x] [Typ x] ISSN : 974-7435 Volum 1 Issu 24 BioTchnology 214 An Indian Journal FULL PAPE BTAIJ, 1(24), 214 [15197-1521] A sag-srucurd modl of a singl-spcis wih dnsiy-dpndn and birh pulss LI
More informationZinc Chloride-activated Waste Carbon Powder for Decolourization of Methylene Blue
Jurnal Tknologi Full papr Zinc Chlorid-acivad Was Carbon Powdr for Dcolourizaion of Mhyln Blu Muhammad Abbas Ahmad Zaini a*, Ting Chiw Ngiik a, Mohd. Johari Kamaruddin a, Sii Hamidah Mohd. Sapar a, Mohd.
More informationInvestigation on Biosorption of Reactive Blue 140 by Dead Biomass of Aspergillus niger HM11: Kinetics and Isotherm Studies
Global Journal of Biochnology & Biochmisry 4 (): 169-178, 9 ISSN 78-466X IDOSI Publicaions, 9 Invsigaion on Biosorpion of Raciv Blu 14 by Dad Biomass of Asprgillus nigr HM11: Kinics and Isohrm Sudis 1
More informationOn the Derivatives of Bessel and Modified Bessel Functions with Respect to the Order and the Argument
Inrnaional Rsarch Journal of Applid Basic Scincs 03 Aailabl onlin a wwwirjabscom ISSN 5-838X / Vol 4 (): 47-433 Scinc Eplorr Publicaions On h Driais of Bssl Modifid Bssl Funcions wih Rspc o h Ordr h Argumn
More information2.1. Differential Equations and Solutions #3, 4, 17, 20, 24, 35
MATH 5 PS # Summr 00.. Diffrnial Equaions and Soluions PS.# Show ha ()C #, 4, 7, 0, 4, 5 ( / ) is a gnral soluion of h diffrnial quaion. Us a compur or calculaor o skch h soluions for h givn valus of h
More informationBoyce/DiPrima 9 th ed, Ch 2.1: Linear Equations; Method of Integrating Factors
Boc/DiPrima 9 h d, Ch.: Linar Equaions; Mhod of Ingraing Facors Elmnar Diffrnial Equaions and Boundar Valu Problms, 9 h diion, b William E. Boc and Richard C. DiPrima, 009 b John Wil & Sons, Inc. A linar
More informationN.A. Adesola Babarinde 1* ; Jonathan O. Babalola 2 ; John Adegoke 1 ; Esther O. George 1 ; Henrietta O. Okeke 1 ; and Ayoola T.
Kinic, Euilibrium, and Thrmodynamic Sudis of h Biosorpion of Cd(II),, and from Auous Soluions using Coconu (Cocos nucifra) Laf. N.A. Adsola Babarind * ; Jonahan O. Babalola 2 ; John Adgok ; Eshr O. Gorg
More informationREMOVAL OF BASIC BLUE 3 AND REACTIVE ORANGE 16 BY ADSORPTION ONTO QUARTENIZED SUGAR CANE BAGASSE
Th Malaysian Journal of Analyical Scincs, Vol 13 No 2 (29): 185-193 REMOVAL OF BASIC BLUE 3 AND REACTIVE ORANGE 16 BY ADSORPTION ONTO QUARTENIZED SUGAR CANE BAGASSE (Pnyingkiran Basik Biru 3 Dan Rakif
More informationChemistry and Materials Research ISSN (Print) ISSN (Online) Vol.7 No.5, 2015
Chmisry and Marials Rsarch ISSN 4-34 (Prin) ISSN 5-956 (Onlin) Vol.7 No.5, 5 www.iis.org Rmoval o Phnol rom Pain Waswar by Adsorpion ono Phosphoric Acid Acivad Carbon Producd rom Coconu Shll: Isohrmal
More informationEquilibrium sorption of divalent metal ions onto groundnut (Arachis hypogaea) shell: kinetics, isotherm and thermodynamics
ISSN: 2410-9649 Babarind Chmisry and Onyiaocha Inrnaional / Chmisry 2(1) (2016) Inrnaional 37-46 2(1) (2016) 37-46 iscinic.org. Equilibrium sorpion of divaln mal ions ono groundnu (Arachis hypogaa) shll:
More informationModelling the Effect of Dosage on the Biosorption of Ni 2+ Ions onto Luffa Cylindrica
Journal of Marials Scincs and Applicaions 2018; 4(1): 1-9 hp://www.aasci.org/journal/jmsa ISSN: 2381-0998 (Prin); ISSN: 2381-1005 (Onlin) Modlling h Effc of Dosag on h Biosorpion of Ni 2+ Ions ono Luffa
More informationBioreduction of Thallium and Cadmium Toxicity from Industrial Wastewater using Microalgae
A publicaion of CHEMICAL ENGINEERING TRANSACTIONS VOL. 57, 7 Gus Ediors: Sauro Pirucci, Jiří Jaromír Klmš, Laura Piazza, Srafim Bakalis Copyrigh 7, AIDIC Srvizi S.r.l. ISBN 978-88-9568-48-8; ISSN 83-96
More informationDecline Curves. Exponential decline (constant fractional decline) Harmonic decline, and Hyperbolic decline.
Dlin Curvs Dlin Curvs ha lo flow ra vs. im ar h mos ommon ools for forasing roduion and monioring wll rforman in h fild. Ths urvs uikly show by grahi mans whih wlls or filds ar roduing as xd or undr roduing.
More information7.4 QUANTUM MECHANICAL TREATMENT OF FLUCTUATIONS *
Andri Tokmakoff, MIT Dparmn of Chmisry, 5/19/5 7-11 7.4 QUANTUM MECANICAL TREATMENT OF FLUCTUATIONS * Inroducion and Prviw Now h origin of frquncy flucuaions is inracions of our molcul (or mor approprialy
More informationThe removal of chloramphenicol from water through adsorption on activated carbon
E3S Wb of Confrncs 9, 0008 (07) EEMS 07 DOI: 0.05/3sconf/0790008 Th rmoval of chloramphnicol from war hrough adsorpion on acivad carbon Joanna Lach,*, Agniszka Ocipa-Kubicka Czsochowa Univrsiy of Tchnology,
More informationUse of Surface Modified Silica gel factory Waste for Removal of 2,4-D Pesticide from Agricultural Wastewater: A case study
In. J. Environ. Rs., 6(4):995-006, Auumn 202 ISSN: 735-6865 Us of Surfac Modifid Silica gl facory Was for Rmoval of 2,4-D Psicid from Agriculural Waswar: A cas sudy Konr, S., Pal, A. 2 and Adak, A. 3*
More informationCharging of capacitor through inductor and resistor
cur 4&: R circui harging of capacior hrough inducor and rsisor us considr a capacior of capacianc is conncd o a D sourc of.m.f. E hrough a rsisr of rsisanc R, an inducor of inducanc and a y K in sris.
More informationOn the Speed of Heat Wave. Mihály Makai
On h Spd of Ha Wa Mihály Maai maai@ra.bm.hu Conns Formulaion of h problm: infini spd? Local hrmal qulibrium (LTE hypohsis Balanc quaion Phnomnological balanc Spd of ha wa Applicaion in plasma ranspor 1.
More informationLecture 1: Numerical Integration The Trapezoidal and Simpson s Rule
Lcur : Numrical ngraion Th Trapzoidal and Simpson s Rul A problm Th probabiliy of a normally disribud (man µ and sandard dviaion σ ) vn occurring bwn h valus a and b is B A P( a x b) d () π whr a µ b -
More informationElementary Differential Equations and Boundary Value Problems
Elmnar Diffrnial Equaions and Boundar Valu Problms Boc. & DiPrima 9 h Ediion Chapr : Firs Ordr Diffrnial Equaions 00600 คณ ตศาสตร ว ศวกรรม สาขาว ชาว ศวกรรมคอมพ วเตอร ป การศ กษา /55 ผศ.ดร.อร ญญา ผศ.ดร.สมศ
More informationLecture 1: Growth and decay of current in RL circuit. Growth of current in LR Circuit. D.K.Pandey
cur : Growh and dcay of currn in circui Growh of currn in Circui us considr an inducor of slf inducanc is conncd o a DC sourc of.m.f. E hrough a rsisr of rsisanc and a ky K in sris. Whn h ky K is swichd
More informationH is equal to the surface current J S
Chapr 6 Rflcion and Transmission of Wavs 6.1 Boundary Condiions A h boundary of wo diffrn mdium, lcromagnic fild hav o saisfy physical condiion, which is drmind by Maxwll s quaion. This is h boundary condiion
More informationA MATHEMATICAL MODEL FOR NATURAL COOLING OF A CUP OF TEA
MTHEMTICL MODEL FOR NTURL COOLING OF CUP OF TE 1 Mrs.D.Kalpana, 2 Mr.S.Dhvarajan 1 Snior Lcurr, Dparmn of Chmisry, PSB Polychnic Collg, Chnnai, India. 2 ssisan Profssor, Dparmn of Mahmaics, Dr.M.G.R Educaional
More informationComparison the New Kinetics Equation of Noncompetitive Sorption Cd(II) and Zn(II) onto Green Sorbent Horse Dung Humic Acid (HD-HA)
Availabl onlin a BCREC Wbsi: hps://bcrc.undip.ac.id Bullin of Chmical Racion Enginring & Caalysis, 13 (3) 2018, 475-488 Rsarch Aricl Comparison h Nw Kinics Equaion of Noncompiiv Sorpion Cd(II) and Zn(II)
More informationUNSTEADY FLOW OF A FLUID PARTICLE SUSPENSION BETWEEN TWO PARALLEL PLATES SUDDENLY SET IN MOTION WITH SAME SPEED
006-0 Asian Rsarch Publishing work (ARP). All righs rsrvd. USTEADY FLOW OF A FLUID PARTICLE SUSPESIO BETWEE TWO PARALLEL PLATES SUDDELY SET I MOTIO WITH SAME SPEED M. suniha, B. Shankr and G. Shanha 3
More informationA THREE COMPARTMENT MATHEMATICAL MODEL OF LIVER
A THREE COPARTENT ATHEATICAL ODEL OF LIVER V. An N. Ch. Paabhi Ramacharyulu Faculy of ahmaics, R D collgs, Hanamonda, Warangal, India Dparmn of ahmaics, Naional Insiu of Tchnology, Warangal, India E-ail:
More informationAMMONIUM ADSORPTION ON NATURAL ZEOLITE (CLINOPTILOLITE): ADSORPTION ISOTHERMS AND KINETICS MODELING
ISSN 1848-0071 UDC 549.67+544.723=111 Rcivd: 2012-06-15 Accpd: 2012-07-12 Original scinific papr AMMONIUM ADSORPTION ON NATURAL ZEOLITE (CLINOPTILOLITE): ADSORPTION ISOTHERMS AND KINETICS MODELING DAJANA
More informationBiosorption of Cr (III) from Aqueous Solutions Using Bacterium Biomass Streptomyces rimosus
In. J. nviron. Rs., 3():9-38, Spring 009 ISSN: 735-6865 Biosorpion of Cr (III) from Aquous Soluions Using Bacrium Biomass Srpomycs rimosus Sahmoun, M.N. *, Louhab, K. and Boukhiar, A. Laboraoir Maériaux,
More informationAccepted 31 January, 2012
Inrnaional Journal of Physical Scincs Vol. 7(9), pp. 376-385, 23 Fbruary, 202 Availabl onlin a hp://www.acadmicjournals.org/ijps DOI: 0.5897/IJPS.597 ISSN 992-950 202 Acadmic Journals Full Lngh Rsarch
More informationBatch Biosorption of Metanil Yellow from Aqueous Solution on Egg Membrane: Kinetics and Mechanism
Inrnaional Journal of Chmical, Marial and Environmnal Rsarch 018, 5 (): 155-164 Rsarch aricl INTERNATIONAL JOURNAL OF CHEMICAL, MATERIAL AND ENVIRONMENTAL RESEARCH An Inrnaional Opn Fr Accss, Pr Rviwd
More information4.1 The Uniform Distribution Def n: A c.r.v. X has a continuous uniform distribution on [a, b] when its pdf is = 1 a x b
4. Th Uniform Disribuion Df n: A c.r.v. has a coninuous uniform disribuion on [a, b] whn is pdf is f x a x b b a Also, b + a b a µ E and V Ex4. Suppos, h lvl of unblivabiliy a any poin in a Transformrs
More informationLagrangian for RLC circuits using analogy with the classical mechanics concepts
Lagrangian for RLC circuis using analogy wih h classical mchanics concps Albrus Hariwangsa Panuluh and Asan Damanik Dparmn of Physics Educaion, Sanaa Dharma Univrsiy Kampus III USD Paingan, Maguwoharjo,
More informationEXERCISE - 01 CHECK YOUR GRASP
DIFFERENTIAL EQUATION EXERCISE - CHECK YOUR GRASP 7. m hn D() m m, D () m m. hn givn D () m m D D D + m m m m m m + m m m m + ( m ) (m ) (m ) (m + ) m,, Hnc numbr of valus of mn will b. n ( ) + c sinc
More informationApplied Statistics and Probability for Engineers, 6 th edition October 17, 2016
Applid Saisics and robabiliy for Enginrs, 6 h diion Ocobr 7, 6 CHATER Scion - -. a d. 679.. b. d. 88 c d d d. 987 d. 98 f d.. Thn, = ln. =. g d.. Thn, = ln.9 =.. -7. a., by symmry. b.. d...6. 7.. c...
More information+Modelling the Sorption of Zn 2+ Ions onto Luffa cylindrica
Amrican Journal of Scinc and Tchnology 218; 5(1): 1-13 hp://www.aasci.org/journal/ajs ISSN: 2375-3846 +Modlling h Sorpion of Zn 2+ Ions ono Luffa cylindrica Oboh Innocn O. 1, Aluyor Emmanul O. 2 1 Dparmn
More informationAR(1) Process. The first-order autoregressive process, AR(1) is. where e t is WN(0, σ 2 )
AR() Procss Th firs-ordr auorgrssiv procss, AR() is whr is WN(0, σ ) Condiional Man and Varianc of AR() Condiional man: Condiional varianc: ) ( ) ( Ω Ω E E ) var( ) ) ( var( ) var( σ Ω Ω Ω Ω E Auocovarianc
More informationTransfer function and the Laplace transformation
Lab No PH-35 Porland Sa Univriy A. La Roa Tranfr funcion and h Laplac ranformaion. INTRODUTION. THE LAPLAE TRANSFORMATION L 3. TRANSFER FUNTIONS 4. ELETRIAL SYSTEMS Analyi of h hr baic paiv lmn R, and
More informationWave Equation (2 Week)
Rfrnc Wav quaion ( Wk 6.5 Tim-armonic filds 7. Ovrviw 7. Plan Wavs in Losslss Mdia 7.3 Plan Wavs in Loss Mdia 7.5 Flow of lcromagnic Powr and h Poning Vcor 7.6 Normal Incidnc of Plan Wavs a Plan Boundaris
More informationThe Optimal Timing of Transition to New Environmental Technology in Economic Growth
h Opimal iming of ransiion o Nw Environmnal chnology in Economic Growh h IAEE Europan Confrnc 7- Spmbr, 29 Vinna, Ausria Akira AEDA and akiko NAGAYA yoo Univrsiy Background: Growh and h Environmn Naural
More informationAdsorción de fenobarbital en carbones activados comerciales. Equilibrio cinético e isotermo de adsorción
Rvisa CENIC Cincias Químicas, Vol. 45, pp. 17-183, 014. Adsorción d fnobarbial n carbons acivados comrcials. Euilibrio cinéico isormo d adsorción Carlos Albro Ry-Mafull, Julio Csar-Llopiz, Albro Iglsias-Crvo,
More informationModelling of three dimensional liquid steel flow in continuous casting process
AMME 2003 12h Modlling of hr dimnsional liquid sl flow in coninuous casing procss M. Jani, H. Dyja, G. Banasz, S. Brsi Insiu of Modlling and Auomaion of Plasic Woring Procsss, Faculy of Marial procssing
More informationCHAPTER CHAPTER14. Expectations: The Basic Tools. Prepared by: Fernando Quijano and Yvonn Quijano
Expcaions: Th Basic Prpard by: Frnando Quijano and Yvonn Quijano CHAPTER CHAPTER14 2006 Prnic Hall Businss Publishing Macroconomics, 4/ Olivir Blanchard 14-1 Today s Lcur Chapr 14:Expcaions: Th Basic Th
More informationLogistic equation of Human population growth (generalization to the case of reactive environment).
Logisic quaion of Human populaion growh gnralizaion o h cas of raciv nvironmn. Srg V. Ershkov Insiu for Tim aur Exploraions M.V. Lomonosov's Moscow Sa Univrsi Lninski gor - Moscow 999 ussia -mail: srgj-rshkov@andx.ru
More informationEE 434 Lecture 22. Bipolar Device Models
EE 434 Lcur 22 Bipolar Dvic Modls Quiz 14 Th collcor currn of a BJT was masurd o b 20mA and h bas currn masurd o b 0.1mA. Wha is h fficincy of injcion of lcrons coming from h mir o h collcor? 1 And h numbr
More informationEstimation of Metal Recovery Using Exponential Distribution
Inrnaional rd Journal o Sinii sarh in Enginring (IJSE).irjsr.om Volum 1 Issu 1 ǁ D. 216 ǁ PP. 7-11 Esimaion o Mal ovry Using Exponnial Disribuion Hüsyin Ankara Dparmn o Mining Enginring, Eskishir Osmangazi
More informationMicroscopic Flow Characteristics Time Headway - Distribution
CE57: Traffic Flow Thory Spring 20 Wk 2 Modling Hadway Disribuion Microscopic Flow Characrisics Tim Hadway - Disribuion Tim Hadway Dfiniion Tim Hadway vrsus Gap Ahmd Abdl-Rahim Civil Enginring Dparmn,
More information4.3 Design of Sections for Flexure (Part II)
Prsrssd Concr Srucurs Dr. Amlan K Sngupa and Prof. Dvdas Mnon 4. Dsign of Scions for Flxur (Par II) This scion covrs h following opics Final Dsign for Typ Mmrs Th sps for Typ 1 mmrs ar xplaind in Scion
More informationEconomics 302 (Sec. 001) Intermediate Macroeconomic Theory and Policy (Spring 2011) 3/28/2012. UW Madison
Economics 302 (Sc. 001) Inrmdia Macroconomic Thory and Policy (Spring 2011) 3/28/2012 Insrucor: Prof. Mnzi Chinn Insrucor: Prof. Mnzi Chinn UW Madison 16 1 Consumpion Th Vry Forsighd dconsumr A vry forsighd
More informationImpulsive Differential Equations. by using the Euler Method
Applid Mahmaical Scincs Vol. 4 1 no. 65 19 - Impulsiv Diffrnial Equaions by using h Eulr Mhod Nor Shamsidah B Amir Hamzah 1 Musafa bin Mama J. Kaviumar L Siaw Chong 4 and Noor ani B Ahmad 5 1 5 Dparmn
More informationCPSC 211 Data Structures & Implementations (c) Texas A&M University [ 259] B-Trees
CPSC 211 Daa Srucurs & Implmnaions (c) Txas A&M Univrsiy [ 259] B-Trs Th AVL r and rd-black r allowd som variaion in h lnghs of h diffrn roo-o-laf pahs. An alrnaiv ida is o mak sur ha all roo-o-laf pahs
More informationCSE 245: Computer Aided Circuit Simulation and Verification
CSE 45: Compur Aidd Circui Simulaion and Vrificaion Fall 4, Sp 8 Lcur : Dynamic Linar Sysm Oulin Tim Domain Analysis Sa Equaions RLC Nwork Analysis by Taylor Expansion Impuls Rspons in im domain Frquncy
More informationControl System Engineering (EE301T) Assignment: 2
Conrol Sysm Enginring (EE0T) Assignmn: PART-A (Tim Domain Analysis: Transin Rspons Analysis). Oain h rspons of a uniy fdack sysm whos opn-loop ransfr funcion is (s) s ( s 4) for a uni sp inpu and also
More information5. An object moving along an x-coordinate axis with its scale measured in meters has a velocity of 6t
AP CALCULUS FINAL UNIT WORKSHEETS ACCELERATION, VELOCTIY AND POSITION In problms -, drmin h posiion funcion, (), from h givn informaion.. v (), () = 5. v ()5, () = b g. a (), v() =, () = -. a (), v() =
More informationGeneral Article Application of differential equation in L-R and C-R circuit analysis by classical method. Abstract
Applicaion of Diffrnial... Gnral Aricl Applicaion of diffrnial uaion in - and C- circui analysis by classical mhod. ajndra Prasad gmi curr, Dparmn of Mahmaics, P.N. Campus, Pokhara Email: rajndraprasadrgmi@yahoo.com
More informationERROR ANALYSIS A.J. Pintar and D. Caspary Department of Chemical Engineering Michigan Technological University Houghton, MI September, 2012
ERROR AALYSIS AJ Pinar and D Caspary Dparmn of Chmical Enginring Michigan Tchnological Univrsiy Houghon, MI 4993 Spmbr, 0 OVERVIEW Exprimnaion involvs h masurmn of raw daa in h laboraory or fild I is assumd
More informationInstitute of Actuaries of India
Insiu of Acuaris of India ubjc CT3 Probabiliy and Mahmaical aisics Novmbr Examinaions INDICATIVE OLUTION Pag of IAI CT3 Novmbr ol. a sampl man = 35 sampl sandard dviaion = 36.6 b for = uppr bound = 35+*36.6
More informationDEPARTMENT OF ELECTRICAL &ELECTRONICS ENGINEERING SIGNALS AND SYSTEMS. Assoc. Prof. Dr. Burak Kelleci. Spring 2018
DEPARTMENT OF ELECTRICAL &ELECTRONICS ENGINEERING SIGNALS AND SYSTEMS Aoc. Prof. Dr. Burak Kllci Spring 08 OUTLINE Th Laplac Tranform Rgion of convrgnc for Laplac ranform Invr Laplac ranform Gomric valuaion
More informationBoyce/DiPrima 9 th ed, Ch 7.8: Repeated Eigenvalues
Boy/DiPrima 9 h d Ch 7.8: Rpad Eignvalus Elmnary Diffrnial Equaions and Boundary Valu Problms 9 h diion by William E. Boy and Rihard C. DiPrima 9 by John Wily & Sons In. W onsidr again a homognous sysm
More informationA Simple Procedure to Calculate the Control Limit of Z Chart
Inrnaional Journal of Saisics and Applicaions 214, 4(6): 276-282 DOI: 1.5923/j.saisics.21446.4 A Simpl Procdur o Calcula h Conrol Limi of Z Char R. C. Loni 1, N. A. S. Sampaio 2, J. W. J. Silva 2,3,*,
More informationA Condition for Stability in an SIR Age Structured Disease Model with Decreasing Survival Rate
A Condiion for abiliy in an I Ag rucurd Disas Modl wih Dcrasing urvival a A.K. upriana, Edy owono Dparmn of Mahmaics, Univrsias Padjadjaran, km Bandung-umng 45363, Indonsia fax: 6--7794696, mail: asupria@yahoo.com.au;
More information3(8 ) (8 x x ) 3x x (8 )
Scion - CHATER -. a d.. b. d.86 c d 8 d d.9997 f g 6. d. d. Thn, = ln. =. =.. d Thn, = ln.9 =.7 8 -. a d.6 6 6 6 6 8 8 8 b 9 d 6 6 6 8 c d.8 6 6 6 6 8 8 7 7 d 6 d.6 6 6 6 6 6 6 8 u u u u du.9 6 6 6 6 6
More informationA batch study of adsorption equilibrium and kinetic for methylene blue onto synthesized zeolite
Journal of marials and Environmnal Scincs ISSN : 8-58 Copyrigh 7, Univrsiy of Mohammd Prmir Oujda Morocco JMES, 7 Volum 8, Issu, Pag 539-55 hp://www.jmarnvironsci.com/ A bach sudy of adsorpion uilibrium
More informationPhosphonate-Functionalized Polystyrene Microspheres with Controlled Zeta Potential for Efficient Uranium Sorption
Elctronic Supplmntary Matrial (ESI) for RSC Advancs. This journal is Th Royal Socity of Chmistry 2016 Supporting Information Phosphonat-Functionalizd Polystyrn Microsphrs with Controlld Zta Potntial for
More informationwhereby we can express the phase by any one of the formulas cos ( 3 whereby we can express the phase by any one of the formulas
Third In-Class Exam Soluions Mah 6, Profssor David Lvrmor Tusday, 5 April 07 [0] Th vrical displacmn of an unforcd mass on a spring is givn by h 5 3 cos 3 sin a [] Is his sysm undampd, undr dampd, criically
More informationModeling and Experimental Investigation on the Internal Leakage in a CO2 Rotary Vane Expander
urdu Univrsiy urdu -ubs Inrnaional Comprssor Enginring Confrnc School of chanical Enginring 2008 odling and Exprimnal Invsigaion on h Inrnal Lakag in a CO2 Roary Van Expandr Bingchun Yang Xi an Jiaoong
More informationSmoking Tobacco Experiencing with Induced Death
Europan Journal of Biological Scincs 9 (1): 52-57, 2017 ISSN 2079-2085 IDOSI Publicaions, 2017 DOI: 10.5829/idosi.jbs.2017.52.57 Smoking Tobacco Exprincing wih Inducd Dah Gachw Abiy Salilw Dparmn of Mahmaics,
More informationLecture 4: Laplace Transforms
Lur 4: Lapla Transforms Lapla and rlad ransformaions an b usd o solv diffrnial quaion and o rdu priodi nois in signals and imags. Basially, hy onvr h drivaiv opraions ino mulipliaion, diffrnial quaions
More informationChemistry 988 Part 1
Chmisry 988 Par 1 Radiaion Dcion & Masurmn Dp. of Chmisry --- Michigan Sa Univ. aional Suprconducing Cycloron Lab DJMorrissy Spring/2oo9 Cours informaion can b found on h wbsi: hp://www.chmisry.msu.du/courss/cm988uclar/indx.hml
More informationCLASSROOM CONTACT PROGRAMME HINT SHEET 1001CM HS - 1/7. 1. Wavelengh of the ray. = hc. cot (A/2) = = Å since < 100 Å so it is X-ray
CLASSRM CNTACT PRGRAMME (Acadmic Sssion : 5-6) ENTUSIAST, LEADER & ACIEVER CURSE TARGET : PRE-MEDICAL 6 Ts Typ : MAJR Ts Parn : AIPMT TEST DATE : 8-4 - 6 TEST SYLLABUS : FULL SYLLABUS ANSWER KEY Qu 4 5
More informationI) Title: Rational Expectations and Adaptive Learning. II) Contents: Introduction to Adaptive Learning
I) Til: Raional Expcaions and Adapiv Larning II) Conns: Inroducion o Adapiv Larning III) Documnaion: - Basdvan, Olivir. (2003). Larning procss and raional xpcaions: an analysis using a small macroconomic
More informationROLE OF SAWDUST IN THE REMOVAL OF IRON FROM AQUEOUS SOLUTION
AJSTD Vol. 23 Issu 3 pp. 223-229 (2006) ROLE OF SAWDUST IN THE REMOVAL OF IRON FROM AQUEOUS SOLUTION H.B. Snin *, O. Subhi, R. Rosliza, N. Kancono, M.S. Azhar, S. Hasiah, and W.B. Wan Nik Faculty of Scinc
More informationThe transition:transversion rate ratio vs. the T-ratio.
PhyloMah Lcur 8 by Dan Vandrpool March, 00 opics of Discussion ransiion:ransvrsion ra raio Kappa vs. ransiion:ransvrsion raio raio alculaing h xpcd numbr of subsiuions using marix algbra Why h nral im
More informationA HAMILTON-JACOBI TREATMENT OF DISSIPATIVE SYSTEMS
Europan Scinific Journal Ocobr 13 diion vol9, No3 ISSN: 1857 7881 (Prin) - ISSN 1857-7431 A AMILTON-JACOBI TREATMENT OF DISSIPATIVE SYSTEMS Ola A Jarab'ah Tafila Tchnical Univrsiy, Tafila, Jordan Khald
More informationChapter 12 Introduction To The Laplace Transform
Chapr Inroducion To Th aplac Tranorm Diniion o h aplac Tranorm - Th Sp & Impul uncion aplac Tranorm o pciic uncion 5 Opraional Tranorm Applying h aplac Tranorm 7 Invr Tranorm o Raional uncion 8 Pol and
More information1. Inverse Matrix 4[(3 7) (02)] 1[(0 7) (3 2)] Recall that the inverse of A is equal to:
Rfrncs Brnank, B. and I. Mihov (1998). Masuring monary policy, Quarrly Journal of Economics CXIII, 315-34. Blanchard, O. R. Proi (00). An mpirical characrizaion of h dynamic ffcs of changs in govrnmn spnding
More information3.9 Carbon Contamination & Fractionation
3.9 arbon onaminaion & Fracionaion Bcaus h raio / in a sampl dcrass wih incrasing ag - du o h coninuous dcay of - a small addd impuriy of modrn naural carbon causs a disproporionaly larg shif in ag. (
More information10. If p and q are the lengths of the perpendiculars from the origin on the tangent and the normal to the curve
0. If p and q ar h lnghs of h prpndiculars from h origin on h angn and h normal o h curv + Mahmaics y = a, hn 4p + q = a a (C) a (D) 5a 6. Wha is h diffrnial quaion of h family of circls having hir cnrs
More informationComputational prediction of high ZT of n-type Mg 3 Sb 2 - based compounds with isotropic thermoelectric conduction performance
Elcronic Supplnary Marial (ES for Physical Chisry Chical Physics. This journal is h Ownr Sociis 08 Supporing nforaion Copuaional prdicion of high ZT of n-yp Mg 3 Sb - basd copounds wih isoropic hrolcric
More informationMidterm exam 2, April 7, 2009 (solutions)
Univrsiy of Pnnsylvania Dparmn of Mahmaics Mah 26 Honors Calculus II Spring Smsr 29 Prof Grassi, TA Ashr Aul Midrm xam 2, April 7, 29 (soluions) 1 Wri a basis for h spac of pairs (u, v) of smooh funcions
More informationLet s look again at the first order linear differential equation we are attempting to solve, in its standard form:
Th Ingraing Facor Mhod In h prvious xampls of simpl firs ordr ODEs, w found h soluions by algbraically spara h dpndn variabl- and h indpndn variabl- rms, and wri h wo sids of a givn quaion as drivaivs,
More information