EFFECT OF SOIL CONTAMINANT EXTRACTION METHOD IN DETERMINING TOXICITY USING THE MICROTOX ASSAY

Size: px
Start display at page:

Download "EFFECT OF SOIL CONTAMINANT EXTRACTION METHOD IN DETERMINING TOXICITY USING THE MICROTOX ASSAY"

Transcription

1 Environmentl Toxicology nd Chemistry, Vol. 19, No. 2, pp , SETAC Printed in the USA /00 $ EFFECT OF SOIL CONTAMINANT EXTRACTION METHOD IN DETERMINING TOXICITY USING THE MICROTOX ASSAY GAIL A. HARKEY* nd THOMAS M. YOUNG Institute of Gs Technology, 1700 South Mount Prospect Rod, Des Plines, Illinois 60018, USA Deprtment of Civil nd Environmentl Engineering, University of Cliforni, Dvis, Cliforni 9616, USA (Received 1 December 1998; Accepted 18 My 1999) Abstrct This project exmined the influence of different extrction methods on the mesured toxicity of contminted soils collected from mnufctured gs plnt (MGP) sites differing in soil composition nd contminnt concentrtion. Aged soils from number of MGP sites were extrcted using sline solution, supercriticl fluid extrction (SFE), nd Soxhlet extrction. Toxicity ws ssessed using two forms of Microtox tests: cute queous tests on sline nd SFE soil extrcts nd solid-phse tests (SPTs) on soil prticles. Microtox SPTs were performed on soils before nd fter SFE to determine resulting toxicity reduction. Three hypotheses were tested: (1) Toxicity of soil extrcts is relted to contminnt concentrtions of the extrcts, (2) mesured toxicity significntly decreses with less vigorous methods of extrction, nd () supercriticl fluid extrctbility correltes with mesured toxicity. The EC0s for SPTs performed before nd fter SFE were not different for some soils but were significntly greter fter extrction for other soils tested. The most significnt toxicity reductions were observed for soils exhibiting the highest toxicity in both preextrction SPTs nd cute queous tests. tests performed on SFE extrcts showed significntly lower EC0s thn those reported from sline-bsed extrction procedures. Toxicity of the soils mesured by Microtox SPTs ws strongly correlted with both SFE efficiency nd mesures of contminnt ging. Dt from this project provide evidence of sequestrtion nd reduced vilbility of polycyclic romtic hydrocrbons (PAHs) from soils extrcted vi physiologiclly bsed procedures compred to vigorous physicl extrction protocols. Keywords Extrction Microtox Soil EC0 Toxicity Polycyclic romtic hydrocrbons INTRODUCTION Numerous studies conducted on soils contminted with orgnic compounds hve shown tht s the contminnts persist in soil, they become incresingly resistnt to desorption nd biologicl uptke [1 ]. Sorption of orgnic contminnts to soils often entils n initilly rpid nd reversible process followed by period of slow sorption over weeks, months, or yers. This slow sorption leds to chemicl frction tht then resists desorption []. The result of this process in ged soils is substntil reduction in the rte of desorption, which correltes with net reduction in biovilbility of the contminnt [2,6,7]. Conventionl protocols use vigorous methods, such s Soxhlet or soniction extrctions, to remove the soluble orgnic contminnts from soil prticles. These methods my remove both biovilble contminnts nd contminnts normlly resistnt to desorption in biologicl or environmentl systems. Hydrocrbon-contminted soils collected from mnufctured gs plnt (MGP) sites re good mterils for studying contminnt desorption nd biovilbility. The MGPs commonly operted in the United Sttes from the mid-1800s to the lte 190s or erly 190s [8]. Contminnts ssocited with MGP sites re typiclly orgnic compounds, including polynucler romtic hydrocrbons (PAHs) tht hve been in contct with soil prticles for decdes. Risk ssessments nd determintion of clenup levels of contminnts t MGP sites re generlly bsed on chemicl concentrtions mesured by exhustive extrction (e.g., Soxhlet extrction) of soil smples collected from the site. However, chemicl dt lone pper * To whom correspondence my be ddressed (gnnhrkey@ol.com). to provide little direct indiction of the potentil risks nd effects of site contminnts. Consequently, concentrtions of totl contminnts determined by these extrctions cn overestimte the mount of contminnt vilble to biot in the environment [2,6]. Evidence of decresed contminnt biovilbility with soil ging hs creted the need for simple nd cost-effective screening ssys to estimte biovilbility of soil contminnts. Tests tht determine the toxicity of historiclly contminted soils re bsed on the vilbility of the contminnts to be tken up by indictor species, such s bcteri, invertebrtes, nd vertebrtes. If the contminnt is vilble, uptke will occur to point where it my produce n effect. However, if portion of the contminnt is sequestered, very little of this frction will likely be vilble for uptke by the orgnisms. Toxicity tests designed to rpidly screen environmentl medi typiclly involve extrction into n queous solution prior to orgnism exposure. The extrction protocol employed nd the type of solvent used will likely determine the extent of contminnt extrction nd subsequent biovilbility to the indictor species. In this study, the reltionship between mesured cute toxicity of ged contminnts ssocited with MGP site soils nd the concentrtion nd extrctbility of the chemicls ws exmined. The study objective ws to use the Microtox test with both solid-phse nd queous extrction protocols to determine toxicity vritions resulting from vigorous nd mild extrction methods. Three hypotheses were tested: (1) toxicity of soil extrcts is relted to contminnt concentrtions of the extrcts, (2) mesured toxicity significntly decreses with less vigorous methods of extrction, nd () supercriticl fluid extrctbility correltes with mesured toxicity. Such corre- 276

2 Soil extrction methods nd Microtox toxicity Environ. Toxicol. Chem. 19, Tble 1. Chrcteristics of mnufctured gs plnt soils used in the study SBO 28 SoCl % Snd % Silt % Cly Soil type Lomy snd Sndy lom Snd Sndy lom Lomy snd % Totl orgnic crbon ph ltion between the cute toxicity of soil extrct using prticulr extrction method nd soil contminnt concentrtion would be vluble in determining cceptble endpoints for site remedition or mesures for risk ssessment of contminnts in ged soils. MATERIALS AND METHODS Soil collection Five rchived soils collected from vrious MGP sites nd stored in the drk in glss continers t to 10 C were used. The soils were originlly collected for contminnt tretbility studies in 1996 nd 1997 nd were chrcterized for ph, prticle size distribution, totl orgnic crbon, nd PAH concentrtions within 2 months of collection. The properties of the soils re presented in Tble 1. Soil ph ws mesured in 1: 1 (w/w) soil wter suspension, the prticle-size distribution ws by hydrometer method [9], nd orgnic crbon ws determined by combustion t 1,000 C. Soil ws collected from the bottom of gs holder in erly Soil SBO28 ws tken from soil boring in 1997 where MGP residuls hd been lndfilled into former creek chnnel. The nd SoCl were lmpblck-bsed soils collected from pproximtely the sme re in 1996 nd 1997, respectively. The soil ws collected in Additionl informtion regrding these soils nd ssocited tretbility studies re included in project reports [10,11]. Soil extrction Supercriticl crbon dioxide (crbon dioxide bove its criticl temperture nd pressure of 1.1 C nd 72.8 tm, respectively) ws used to extrct PAHs from ech soil smple. This pproch ws selected becuse it fetures high mss trnsfer rtes nd tunble solvent strength, chrcteristics tht offer promise for developing rpid chemiclly bsed biovilbility ssys. Supercriticl fluid extrctions followed the procedures of the U.S. Environmentl Protection Agency Method 61 with two importnt exceptions. First, dimethyl sulfoxide (DMSO) ws used s trp rinse solvent for comptibility with subsequent Microtox testing [12]. The second modifiction ws tht soil prticles were not ground prior to extrction. This modifiction ws intended to prevent extrction of contminnts from loctions deeper within the soil mtrix, where they re less likely to be biovilble. Method 61 is designed to recover two frctions of extrcts. The more voltile PAHs re extrcted nd recovered in the first frction (frction A), wheres the lesser voltile PAHs re removed in the second frction (frction B). A finl trp rinse (frction C) ws dded to the method to ensure tht the DMSO recovered ll the nlyte from the trp. Two to four grms (dry weight) soil smples were extrcted using Suprex Flexprep supercriticl fluid extrctor with n Accutrp smple collector nd MP-1 modifier pump (Isco, Lincoln, NE, USA). A finl volume of pprox. 0.8 ml smple in DMSO ws recovered for ech frction. Actul smple volumes for clculting PAH concentrtions nd EC0 equivlents were determined from solvent weights in the individul smple vils. Ech extrction ws conducted in duplicte. In ddition to SFE, ech soil ws Soxhlet extrcted for 16 h nd nlyzed vi gs chromtogrphy mss spectrometry (GC-MS) using U.S. Environmentl Protection Agency SW-86 Method SW0 nd Method SW 8270C [12]. Supercriticl fluid extrct nlysis All SFE extrcts were nlyzed without ny dditionl smple preprtion, except for the ddition of internl stndrds (2- fluorobiphenyl nd d 1 p-terphenyl) prior to GC-MS selected ion monitoring (MS-SIM). Extrcts were nlyzed for 1 individul PAH compounds nd one compound group: nphthlene, cenphthylene, cenphthene, fluorene, phennthrene, nthrcene, fluornthene, pyrene, benzo[]nthrcene, chrysene/ triphenylene, benzo[b]fluornthene, benzo[k]fluornthene, benzo[]pyrene, indeno[1,2,-cd]pyrene, dibenz[,h]nthrcene, nd benzo[g,h,i]perylene. Quntifiction of individul PAHs ws performed using Hewlett-Pckrd 890 II gs chromtogrph/971 mss selective detector (Hewlett-Pckrd, Avondle, PA, USA). The GC nlysis employed 0-m 0.2- mm-i.d. Restek XTI- column (Restek, Bellefonte, PA, USA) with n oven temperture profile of 0 C for min, 0 to 00 C t 10 C/min min, nd isotherml t 00 C for 20 min. Recovery of surrogte stndrds verged 97.78% 7.0 stndrd devitions (SD). Extrcts from frctions A, B, nd C were nlyzed individully. Totl SFE-derived PAH concentrtions were clculted s the sum of these frctions for ech soil smple tested. Microtox testing Both Microtox solid-phse tests (SPTs) nd Microtox cute toxicity bsic tests (cute) were used in this study nd followed the mnufcturer s protocols [1,1]. Microtox is commercil toxicity biossy bsed on the reduction in bioluminescence of the mrine bcterium Vibrio fischerii following exposure to toxicnts [1]. In the cute bsic test, soil contminnts re extrcted into n queous medium prior to testing. Alterntively, the SPT ws developed s stndrd procedure to test complex solid smples tht llows soil prticles to come into direct contct with bcteri for fixed period of time. To test the hypothesis tht mesured toxicity decreses with less vigorous extrction methods, Microtox SPTs were run in triplicte on soils before nd fter SFE. The SPTs were performed by combining soil smples with Microtox solid-phse diluent in 1: (w/v) rtio nd mixing for 10 min. For ech soil smple, 11 seril 1:1 dilutions, in duplicte, were prepred nd the bcteri exposed to these dilutions for 20 min. Microorgnisms were then seprted from the soil suspensions with filter column for nlysis using the Microtox nlyzer (PBR Lbortories, Edmonton, AB, Cnd). To test the hypothesis tht toxicity of soil extrcts is relted to their contminnt concentrtions, cute Microtox tests were performed in triplicte on soil extrcts. Soil extrcts were prepred following sline-bsed extrction procedures outlined in the Americn Society for Testing nd Mterils Designtion D [16]. Briefly, 2gdrysoil were combined with 20 ml Microtox diluent (2% NCl solution) in 0-ml Ok Ridge Teflon tubes (Nlgene, Rochester, NY, USA). The mixture ws mixed on n orbitl rottor t 200 rpm for 16 h. The

3 278 Environ. Toxicol. Chem. 19, 2000 G.A. Hrkey nd T.M. Young Tble 2. Comprison of polycylic romtic hydrocrbon (PAH) concentrtions in soils extrcted vi supercriticl fluid extrction (SFE) nd Soxhlet t the time of collection nd t the time of the present study Soxhlet method (t collection) SFE method Soxhlet method (present) b Two- or threering PAHS Four- to sixring PAHs c Two- or threering PAHS Four- to sixring PAHs b Two- or threering PAHS Four- to sixring PAHs SBO-28 SoCl 21, ,96 1,8 19, , , 1,2 2, , , , ,1 2,09 1, , ,892 Vlues for SFEs represent verges of two replicte smples. b re reported s the sum of 16 compounds extrcted vi Soxhlet nd nlyzed vi GC-MS. c re reported s the sum of 16 compounds extrcted vi SFE nd nlyzed vi GC-MS. smples were centrifuged t 2000 g for 20 min t C nd the superntnt decnted nd subjected to cute testing. Acute tests were lso performed on frctions A, B, nd C fter SFE. Smple preprtion for frctions A, B, nd C ws s follows: 10 l of the DMSO extrct ws dded to 10 ml of Microtox diluent to mke up 1.% (v/v) DMSO dilution. Seril 1:1 dilutions were prepred from this initil dilution. Reconstituted cells of V. fischerii were exposed in duplicte to eight different dilutions of DMSO extrct. A Microtox control blnk of 1.% pure DMSO to diluent ws prepred to offset ny effect from the DMSO nd to set the light mesurement of the Microtox nlyzer. The resulting decrese in bioluminescence ws mesured fter 1 min t constnt temperture of 1 C. A zinc sulfte reference toxicnt ws run s dily internl qulity control procedure whenever cute tests were performed. All results from the zinc sulfte toxicnt were within 2 SD. Dt nlysis All Microtox test dt were expressed in EC0s, defined s the effective concentrtion of test smple tht cuses 0% decrese in light output [17,18]; the lower the EC0, the greter the toxicity. To compre toxicity mong test methods, ll smple concentrtions were reported in units of milligrms dry-weight soil per milliliter of extrction diluent. This represents the mss of dry soil tht, if extrcted into 1 ml of queous solvent, would result in 0% reduction in bioluminescence. The EC0 vlues were log trnsformed nd compred with PAH concentrtions using Person product moment correltion coefficients (r) [19]. Comprisons between EC0 vlues generted with the sme soils nd extrction methods were determined vi Student s t tests using the Microsoft Excel Anlyticl ToolPk softwre pckge (Microsoft, Redmond, WA, USA). RESULTS Soxhlet extrction nd subsequent GC MS SIM nlyses of the five soils used in this study reveled totl PAH concentrtions rnging from 209 to,76 mg/kg, with four- to six-ring compounds mking up the lrgest frction of PAHs in ll smples except (Tble 2). The PAH concentrtions declined significntly for smples SBO-28 nd during storge t to 10 C in the drk, especilly for two- or threering PAHs, suggesting tht either biologicl degrdtion or voltile losses occurred from these smples. Extrction efficiencies with SFE rnged from 27.7 to.% of the present Soxhlet-derived vlues. Efficiencies were generlly below 0% throughout the rnge of the 16 PAHs nlyzed. Although the method of SFE extrction ws intended to isolte the lowermoleculr-weight compounds in frction A nd the higherweight compounds in frction B, this ws not the cse. In ll soils, most of the two- or three-ring nd four- to six-ring PAHs were found in frction B. Dt from Microtox cute tests run on SFE frctions showed tht toxicity of the soil extrcts ws not directly relted to contminnt concentrtions of the extrcts (Tble ). Although toxicity ws generlly gretest in the frction tht contined the gretest concentrtion of contminnts (frction B), liner regression between log EC0s obtined from the three SFE frctions nd their totl PAH concentrtions resulted in wek reltionship (r 2 0.1; n 1). Microtox cute tests on queous extrcts from the soils (tests following the Americn Society for Testing nd Mterils [ASTM] method of Tble. Comprison of cute Microtox EC0 vlues prior to nd fter supercriticl fluid extrction (SFE) with totl polycyclic romtic hydrocrbon (PAH) concentrtions in frctions A, B, nd C queous extrct EC0 b SFE frction A EC0 frction A c SFE frction B EC0 frction B SFE frction C EC0 frction C SBO-28 SoCl.7 (0.01) 18. (.61) 0.9 (0.79) 2.9 (1.1) 20.2 (18.68) 6.81 (0.02).2 (2.91) (0.02) 1. (1.9) 10.2 (2.11) 1.79 (0.27) 0.6 (0.) 2, (1.98) 2. (0.0) 7.2 (9.6) 2.1 (0.1) EC0 vlues re men 1 SD of duplicte or triplicte smples. b Microtox protocol followed ASTM designtion D EC0s re in mg/ml extrctnt. c re reported s the sum of 16 compounds extrcted vi SFE nd nlyzed vi GC-MS, n 2. d EC0 ws greter thn the highest dilution tested.

4 Soil extrction methods nd Microtox toxicity Environ. Toxicol. Chem. 19, Tble. Comprison of EC0 vlues obtined with Microtox solidphse tests (SPT) before nd fter supercriticl fluid extrction (SFE) SBO-28 SoCl Microtox EC0 SPT before SFE (mg/ml extrctnt) 0.06 (0.0) 0.7 (0.10) 1.9 (.2) 22.2 (0.7) (.9) EC0 vlues re men 1 SD of triplicte smples. Microtox EC0 SPT fter SFE (mg/ml extrctnt) 2. (0.72) 9.0 (1.90) 1.96 (19.12) 2.97 (.87).7 (8.20) extrction) showed substntil reduction in toxicity compred to SFE frctions A nd B (t test, p 0.0; Tble ). For three of the soils (, SoCl, nd ), cute EC0s obtined vi the ASTM extrction method were greter thn the highest dilution tested. The EC0 vlues compred between pre- nd post-sfe for Microtox SPTs were not sttisticlly different for three of the smples tested:, SoCl, nd (t test, p 0.0; Tble ). This indictes tht soil toxicity did not chnge significntly fter vigorous extrction with SFE, even with postextrction PAH concentrtions up to 712 mg/kg (Tbles 2 nd ). The other two soils showed sttisticlly significnt decrese in Microtox SPT toxicity fter SFE (p 0.02 nd 0.0 for nd SBO28, respectively). Solid-phse test EC0s showed 0- nd 19-fold reductions in toxicity for SBO- 28 nd, respectively. These smples lso demonstrted the highest cute EC0s with the ASTM extrction method, indicting tht some PAHs were vilble for desorption with mild extrction procedures. To determine ny reltionships between EC0 vlues from the Microtox tests run on soils or soil extrcts nd concentrtions of individul PAH compounds, correltion nlyses were completed. These nlyses compred the logrithm of the EC0 vlues in milligrms dry soil per milliliter extrctnt with PAH compound concentrtions obtined from SFEs of the combined nd individul frctions A, B, nd C. Results from the Microtox cute method using sline extrcts (ASTM method) could not be similrly nlyzed becuse of low toxicity of the smples. When log EC0s were compred with totl PAH concentrtions, correltion coefficients (r) greter thn 0.7 (p 0.01) were seen with ll toxicity test methods except Microtox cute tests on frction C. Greter r vlues were obtined for some compounds when individul PAH compounds were compred with EC0s (Tble ). Correltion ( 70%) between log EC0s nd three-ring PAHs ws seen for ll tests except for frction C. Frction B log EC0s showed the best correltion with individul PAH concentrtions for the three- to five-ring compounds, with r significnt t the 9% or greter level for 11 of the PAHs exmined. However, correltion between log EC0 vlues nd concentrtions of the higher-moleculr-weight compounds ws generlly not sttisticlly significnt (p 0.0) with the exception of benzo[]pyrene (Tble ). DISCUSSION In this study, we showed tht the toxicity of soil smples, mesured either by Microtox cute tests on queous extrcts or by direct solid-phse testing, ws not well correlted with totl contminnt concentrtions in the soils. The correltion coefficient between totl PAH concentrtion mesured by Soxhlet extrction nd the log EC0 from the initil SPTs ws 0.6 (p 0.2). Only two queous extrcts, SBO-28 nd, exhibited significnt toxicity, nd these smples hd the highest nd the second-lowest totl PAH concentrtions, respectively. Previous studies of contminted soils nd sediments hve lso shown no consistent correltion between totl chemicl concentrtions nd Microtox toxicity [20 22] or with toxicity determined with fish nd invertebrte ssys[2,2]. Vigorous physicl nd chemicl methods of contminnt extrction pper to hve the bility to remove contminnts from loctions or binding sites tht would not normlly be ccessed Tble. Correltion coefficients (r) between mesured individul polycyclic romtic hydrocrbon (PAH) compound concentrtions nd log EC0 toxicity prmeters of the mnufctured gs plnt site soils studied PAH compound No. rings in compound Microtox SPT EC0, pre-sfe b Microtox SPT EC0, post-sfe Microtox Acute EC0, SFE frction A c Microtox Acute EC0, SFE frction B Microtox Acute EC0, SFE frction C Nphthlene Acenphthylene Acenphthene Fluorene Phennthrene Anthrcene Fluornthene Pyrene Benzo[]nthrcene Chrysene Triphenylene Benzo[b]fluornthene Benzo[k]fluornthene Benzo[]pyrene Indeno[1,2,-cd]pyrene Dibenz[,h]nthrcene Benzo[g,h,i]perylene d 0.8 d d d d d d d d d d 0.88 d d d 0.81 d d d d d d d 0.88 d 0.80 d d d d d 0.78 d 0.69 d d d d 0.76 d d d 0.77 d 0.7 d 0.78 d 0.81 d 0.80 d d 0.7 d d 0.9 d Vlues re clculted from three replicte smples in ech ctegory. b EC0 vlues prior to supercriticl fluid extrction. c EC0 vlues fter supercriticl fluid extrction. d Sttisticlly significnt t the 9% or greter level [].

5 280 Environ. Toxicol. Chem. 19, 2000 G.A. Hrkey nd T.M. Young under nturl conditions. Extrction procedures nd chemicl nlyses tht rely on more nturl methods (i.e., physiologiclly bsed sline, fluids mimicking gstrointestinl fluids) hve been suggested s more ccurte mens of estimting risk to humn helth nd the environment []. Comprisons between chemicl nlyses nd soil toxicity biossys cn be complex. Soils from typicl MGP sites cn be contminted with hundreds of individul compounds in ddition to PAHs. Further, contminnts my exist in concentrtions below instrument detection limits but my still elicit toxicity. Interctions mong chemicl compounds my ffect toxicity tests in synergetic or ntgonistic wys. For exmple, metbolic biodegrdtion of lipophilic contminnts generlly produces reduction of toxicity. However, oxidtion rections mong chemicls my cuse inhibition or induction of enzymes tht my further lter toxic effects of contminnt mixtures [2]. Of the detectble contminnts for which nlyses re routinely conducted, PAHs were the clss of compounds found to be most significnt in the MGP site soils used in this study. Toxicity seen in these soils ws ssumed to be due to the PAHs contined in them but might be relted to other constituents. Despite the uncertinty of contminnt species or concentrtions contined in the soils used in this study, the wek correltion between totl contminnt concentrtions nd toxicity suggests underlying differences in biovilbility. Soil ging, prticle size distribution, ph, nd mount nd type of orgnic crbon re fctors known to be responsible for differentil biovilbility mong soils nd sediments []. No trends between toxicity nd ny of these fctors were redily pprent for the soils exmined in this study. The persistence of reltively voltile, soluble, nd biodegrdble PAH frctions in soils contminted with col tr over periods of decdes hs been ttributed to combintion of oxygen limittions nd chemicl sequestrtion within soil ggregtes [26]. Regrdless of the initil col tr composition, the ging process is expected to led to n enrichment of hevier PAHs (four- to six-ring) reltive to lighter two- or three-ring compounds [27]. This effect cn be qulittively exmined by compring the Soxhlet extrction results t the time the smples were collected ( ) to the results t the time of the toxicity ssys (1998). Smples nd SBO- 28 contined 7.9 nd 10.2 times s mny two- or three-ring PAHs s four- to six-ring PAHs t the time of collection, suggesting tht they my not hve been subjected to extensive environmentl trnsformtion (Tble 2). These smples exhibited 61 to 91% loss of two- or three-ring compounds during storge. This loss is presumbly due to voltiliztion nd, to lesser extent, to biodegrdtion stimulted by oxygention of the smples during collection. This supposition is consistent with tretbility studies on these smples tht indicted the presence of sufficient microbil popultions nd trce nutrients [10,11]. Similrly, Mdsen et l. [26] found tht removing oxygen limittions resulted in rpid degrdtion of nphthlene from soils contminted with col tr without ny nutrient or microbil mendments. Both the initil composition nd the storge losses in nd SBO-28 re in mrked contrst to those for the lmpblck-bsed,, nd SoCl smples. These smples initilly contined between.7 nd 7.7 times s mny four- to six-ring compounds s two- or three-ring compounds, nd these rtios were not significntly ltered during storge. To summrize these observtions in prmeter tht could be used in correltion nlysis, we chose to crete n vilbility rtio defined s PAH vilbility rtio X/Y originl soxhlet X/Ynew soxhlet where X (concentrtion of 2 nd ring PAHs) nd Y (concentrtion of to 6 ring PAHs). This rtio will increse for smples tht show the gretest loss in lighter PAH compounds during storge or environmentl modifiction. It is expressed s rtio of component concentrtions to ccount for ny vribility introduced by subsmple heterogeneity or interlbortory bises. For our MGP smples stored for between 1 nd 2 yers t to 10 C in the drk, this rtio rnges from 0.9 (for SoCl ) to 1 (for SBO-28). The vilbility rtio proves to be n excellent predictor of smple toxicity for these MGP soil smples. The correltion coefficient between the vilbility rtio nd the logrithm of the pre-sfe SPT ws 0.97 (p 0.01) nd with the post- SFE SPT ws 0.99 (p 0.01). Although only two queous extrcts gve mesurble toxicity, the vilbility rtio ws qulittively relted to those mesurements s well. The two smples with vilbility rtios bove 6 ( nd SBO-28) exhibited toxicity in the cute queous test, but the SoCl soil smples, ech with vilbility rtios below 1.2, were not toxic (EC0 100) t the lowest dilution. These results offer dditionl support for the hypothesis tht the vilbility of PAHs in contminted soils rther thn their totl concentrtion controls toxicity. Supercriticl fluid extrctions following modified U.S. EPA Method 61 protocol were not quntittive compred to Soxhlet extrctions for ny of the MGP smples studied. The primry reson for the filure to extrct ll PAHs probbly reltes to the lrger prticle sizes in our experiments compred to the crushed smples used in vlidting U.S. EPA method 61. Other resons my relte to differences in the composition, ge, nd mount of contminnts on the MGP soils tested. Method 61 ws vlidted on PAH-contminted certified reference mterils (two sediment smples nd one soil smple). These smples differed from those exmined here in two importnt respects. First, the reference mterils contined higher rtios of two-or three-ring PAHs to four- to six-ring PAHs thn ny of the other MGP smples except. The method vlidtion results lso revel tht efficiencies re lower for the higher-moleculr-weight PAH compounds. Second, none of the smples in the vlidtion testing ws col tr bsed. Previous studies hve shown tht fr higher quntities of supercriticl crbon dioxide (SC CO 2 ) re required to extrct col tr thn other forms of PAH contmintion. Only % of PAHs spiked onto se snd were recovered in -h extrction t condensed SFE flow rte of 60 ml/h [28]. Flow rtes of 00 to 800 ml/min for 0 to 90 min were required for quntittive removl of PAHs from MGP soil, nd the highestmoleculr-weight compounds were still not completely removed [29]. By comprison, Method 61 uses totl of 180 ml of SC CO 2 [12]. Differences in SFE efficiencies cross soils proved to be well correlted with smple toxicity nd the PAH vilbility rtio. The correltion coefficient between totl PAH removl efficiency nd the logrithm of the pre-sfe SPT ws 0.89 (p 0.0), nd the correltion coefficient with the vilbility rtio ws 0.97 (p 0.01). These results provide some preliminry indiction tht SFE on uncrushed smples my be useful (nd rpid) chemicl ssy for estimting the biovilble nd potentilly toxic frction of orgnic chemicls in soil. Chemicl ssys bsed on liquid solvents hve shown similr promise in previous reserch [2,6].

6 Soil extrction methods nd Microtox toxicity Environ. Toxicol. Chem. 19, Toxicity of soils extrcted ccording to ASTM procedures ws significntly less thn tht seen in the sme soils extrcted vi SFE. This confirms our hypothesis tht toxicity significntly decreses with less vigorous extrction methods. A detiled exmintion of the toxicity produced by vrious frctions of the extrctnt fter SFE showed tht toxicity ws relted to the mount of PAHs extrcted, lthough this ws not strong liner reltionship. Further testing on the combined frctions A, B, nd C from SFE would hve likely shown toxicity to be much greter thn tht extrcted following ASTM protocols. In ddition, the effect(s) tht SFE exhibited on the soil prticles is not known. The possibility exists tht receptor sites on soil prticles my hve been chnged during the extrction process. Such chnges my influence the movement of PAHs into the surrounding pore wter (the contminnt exposure route) in the SPT. The centrl question tht this study ws intended to ddress is how best to mesure the toxicity of soil smples using the Microtox method or similr biossy pproches. A previous study conducted with sediments reported EC0s from Microtox SPTs by percentge dry weight of the smple [0]. Smple concentrtions greter thn 2% were regrded s negtive response, concentrtions between 1 nd 2% were doubtful or suggestive of toxicity, nd those below 1% were likely to be toxic. More recently, SPT EC0 vlues hve been reported in milligrms equivlent soil or sediment weight per milliliter of extrct [1,2]. Johnson nd Long used n EC0 of.2 mg equivlent sediment extrct per millimeter s reference point for determining sediment toxicity. Smple EC0s significntly less thn this vlue were considered toxic. To normlize EC0 vlues for both cute tests nd SPTs in this study, we reported toxicity in units of milligrms equivlent soil weight per milliliter of extrct. If clculted by percentge dry weight of the smple, SPT EC0 results re ll 1% for both pre- nd post- SFE smples in,, nd SoCl soils. Using the criteri for toxicity suggested by Dy et l. [0], toxicity cn be considered significnt in soils SBO-28 nd, where EC0s for SPTs rnged from 0.0 to 1.0% dry smple weight. Using the criteri of Johnson nd Long [2], toxicity cn lso be considered significnt in SBO-28 nd soils, except for the post-sfe SPT for, for which the men EC0 ws reported s 9.0 (Tble ). The two types of Microtox tests used in this study employ different methods of orgnism exposure. Acute tests were performed on queous extrcts of soils, wheres SPTs llowed for the bcteri to come into direct contct with soil prticles during the test, incresing the probbility for the mesurement of responses to prticle-bound nd mrginlly soluble toxicnts. The method my lso increse the mss trnsfer rtes to the solution phse, s the bcteri my ct s PAH sink, thereby suppressing queous-phse PAH concentrtions nd stimulting desorption. Comprison of SPTs nd cute tests performed prior to SFE showed substntilly greter toxicity produced in the SPT (Tbles nd ). This indictes tht lrge portion of the PAHs present in the MGP site soils ws not prtitioned into the sline-bsed medi used in the cute test during the contct period. However, if combined with ctul soil prticles s performed in the SPT, PAH vilbility to bcteri incresed, resulting in incresed toxicity. To determine the pproprite type of Microtox test to employ in given sitution, one must know the potentil routes of exposure from which estimtes of risk will be importnt. This will differ for ech contminted site under considertion nd will thus depend on site-specific fctors. For exmple, if leching to groundwter were of prticulr concern, then the Microtox cute test could be used to estimte the potentil toxicity of lechble contminnts to the queous phse. However, if soil ingestion or derml contct to contminted soil were n issue, then the Microtox SPT would be logicl choice for estimting toxicity vi the direct contct pthwy. Acknowledgement This work ws supported by n internl reserch nd development grnt from the Institute of Gs Technology. We thnk Gorkem Sirin for conducting the SFE nlyses reported in this study. REFERENCES 1. Scribner SL, Benzing TR, Boyd SA Desorption nd biovilbility of ged simzine residues in soil from continuous corn field. J Environ Qul 21: Htzinger PB, Alexnder M Effect of ging of chemicls in soil on their biodegrdbility nd extrctbility. Environ Sci Technol 29:7.. Pigntello JJ, Xing B Mechnisms of slow sorption of orgnic chemicls to nturl prticles. Environ Sci Technol 0: Linz DG, Nkles DV Environmentlly Acceptble Endpoints in Soil. Americn Acdemy of Environmentl Engineers, Annpolis, MD.. Pigntello JJ Sorption dynmics of orgnic compounds in soils nd sediment. In Swhney BL, Brown K, eds, Rections nd Movement of Orgnic Chemicls in Soils. Soil Science Society of Americ, Mdison, WI, pp Kelsey JW, Kottler BD, Alexnder M Selective chemicl extrctnts to predict biovilbility of soil-ged orgnic chemicls. Environ Sci Technol 1: Chung N, Alexnder M Differences in sequestrtion nd biovilbility of orgnic compounds ged in dissimilr soils. Environ Sci Technol 2: Hyes TD, Linz DG, Nkles DV, Leuschner AP Mngement of Mnufctured Gs Plnt Sites, Vol 1. Amherst Scientific Publishers, Amherst, MA, USA. 9. Sheldrick BH, Wng C Prticle size distribution. In Crter MR, ed, Soil Smpling nd Methods of Anlysis. Lewis, Ann Arbor, MI, USA, pp Institute of Gs Technology Evlution of IGT s MGP- REM process for the remedition of soils from the Vndli Rod site. Phse I nd II Report. Institute of Gs Technology, Des Plines, IL, USA. 11. Institute of Gs Technology Bench-scle evlution nd optimiztion of in situ bioremedition of Southern Cliforni Gs Compny soils. Phse II Study Report. Institute of Gs Technology, Des Plines, IL, USA. 12. U.S. Environmentl Protection Agency Supercriticl fluid extrction of polynucler romtic hydrocrbons. Method 61, Revision 0. Ls Vegs, NV. 1. Azur Environmentl Microtox cute toxicity solid-phse test. Crlsbd, CA, USA. 1. Azur Environmentl Microtox cute toxicity bsic test procedures. Crlsbd, CA, USA. 1. Bulich AA Bioluminescence ssys. In Bitton G, Dutk BJ, eds, Toxicity Testing Using Microorgnisms, Vol 1. CRC, Boc Rton, FL, USA, pp Americn Society for Testing nd Mterils Stndrd test method for ssessing the microbil detoxifiction of chemiclly contminted wter nd soil using toxicity test with luminescent mrine bcterium. D In Annul Book of ASTM Stndrds, Wter nd Environmentl Technology, Vol Phildelphi, PA, pp Qureshi AA, Richrd NC, John HP Evlution nd refinement of the Microtox test for use in toxicity screening. In Dickson L, Dutk BJ, eds, Toxicity Screening Procedures Using Bcteril Systems. Mrcel Dekker, New York, NY, USA, pp Kwn KK, Dutk BJ Evlution of Toxi-Chromotest direct sediment toxicity testing procedure nd Microtox solid-phse testing procedure. Bull Environ Contm Toxicol 9: Zr JH Biosttisticl Anlysis, 2nd ed. Prentice Hll, Englewood Cliffs, NJ, USA. 20. True CJ, Heywrd AA Reltionships between Microtox

7 282 Environ. Toxicol. Chem. 19, 2000 G.A. Hrkey nd T.M. Young test results, extrction methods, nd physicl nd chemicl compositions of mrine sediment smples. Toxicity Assessment : Donnelly KC, Brown KW, Anderson CS, Thoms JC Bcteril mutgenicity nd cute toxicity of solvent nd queous extrcts of soil smples from n bndoned chemicl mnufcturing site. Environ Toxicol Chem 10: Jcobs MW, Cotes JA, Delfino JJ, Bitton G, Dvis WM, Grci KL Comprison of sediment extrct Microtox toxicity with semi-voltile orgnic priority pollutnt concentrtions. Arch Environ Contm Toxicol 2: Athey LA, Thoms JM, Miler WE, Word JQ Evlution of biossys for designing sediment clenup strtegies t wood tretment site. Environ Toxicol Chem 8: Hoke RA, Giesy JP, Ankley GT, Newsted JL, Adms JR Toxicity of sediments from Western Lke Erie nd the Mumee River t Toledo, Ohio, 1987: Implictions for current dredged mteril disposl prctices. J Gret Lkes Res 16: Wlker CH, Hopkin SP, Sibly RM, Pekll DB Principles of Ecotoxicology. Tylor & Frncis, Bristol, PA, USA. 26. Mdsen EL, Mnn CL, Bilott SE Oxygen limittions nd ging s explntions for the field persistence of nphthlene in col tr-contminted surfce sediments. Environ Toxicol Chem 1: Johnston N, Sdler R, Shw GR, Connell DW Environmentl modifiction of PAH composition in col tr contining smples. Chemosphere 27: Yu X, Wng X, Brth R, Rosen JD Supercriticl Fluid Extrction of Col Tr Contminted Soil. Environ Sci Technol 2: Wright BW, Wright CW, Fruchter JS Supercriticl Fluid Extrction of Col Tr Contminted Soil Smples. Energy Fuels : Dy KE, Dutk BJ, Kwn KK, Btist N, Reynoldson TB, Metclfe-Smith JL Correltions between solid phse microbil screening ssys, whole sediment toxicity tests with mcroinvertebrtes nd in-situ benthic community structure. J Gret Lkes Res 21: Johnson BT Microtox toxicity test system: New developments nd pplictions. In Wells PG, Lee K, Blise C, eds, Microscle Testing in Aqutic Toxicology: Advnces, Techniques, nd Prctice. CRC, Boc Rton, FL, USA, pp Johnson BT, Long ER Rpid toxicity ssessment of sediments from esturine ecosystems: A new tndem in vitro testing pproch. Environ Toxicol Chem 17: Burford MD, Hwthorne SB, Miller DJ Extrction rtes of spiked versus ntive PAHs from heterogeneous environmentl smples using supercriticl fluid extrction nd soniction in methylene chloride. Anl Chem 6:

Tests for the Ratio of Two Poisson Rates

Tests for the Ratio of Two Poisson Rates Chpter 437 Tests for the Rtio of Two Poisson Rtes Introduction The Poisson probbility lw gives the probbility distribution of the number of events occurring in specified intervl of time or spce. The Poisson

More information

The Thermodynamics of Aqueous Electrolyte Solutions

The Thermodynamics of Aqueous Electrolyte Solutions 18 The Thermodynmics of Aqueous Electrolyte Solutions As discussed in Chpter 10, when slt is dissolved in wter or in other pproprite solvent, the molecules dissocite into ions. In queous solutions, strong

More information

Acceptance Sampling by Attributes

Acceptance Sampling by Attributes Introduction Acceptnce Smpling by Attributes Acceptnce smpling is concerned with inspection nd decision mking regrding products. Three spects of smpling re importnt: o Involves rndom smpling of n entire

More information

LECTURE 14. Dr. Teresa D. Golden University of North Texas Department of Chemistry

LECTURE 14. Dr. Teresa D. Golden University of North Texas Department of Chemistry LECTURE 14 Dr. Teres D. Golden University of North Texs Deprtment of Chemistry Quntittive Methods A. Quntittive Phse Anlysis Qulittive D phses by comprison with stndrd ptterns. Estimte of proportions of

More information

HYDROCARBON COMPOSITION AND TOXICITY OF SEDIMENTS FOLLOWING THE EXXON VALDEZ OIL SPILL IN PRINCE WILLIAM SOUND, ALASKA, USA

HYDROCARBON COMPOSITION AND TOXICITY OF SEDIMENTS FOLLOWING THE EXXON VALDEZ OIL SPILL IN PRINCE WILLIAM SOUND, ALASKA, USA Environmentl Toxicology nd Chemistry, Vol. 1, No. 7, pp. 18 10, 00 00 SETAC Printed in the USA 070-768/0 $9.00.00 HYDROCARBON COMPOSITION AND TOXICITY OF SEDIMENTS FOLLOWING THE EXXON VALDEZ OIL SPILL

More information

THERMAL EXPANSION COEFFICIENT OF WATER FOR VOLUMETRIC CALIBRATION

THERMAL EXPANSION COEFFICIENT OF WATER FOR VOLUMETRIC CALIBRATION XX IMEKO World Congress Metrology for Green Growth September 9,, Busn, Republic of Kore THERMAL EXPANSION COEFFICIENT OF WATER FOR OLUMETRIC CALIBRATION Nieves Medin Hed of Mss Division, CEM, Spin, mnmedin@mityc.es

More information

ADVANCEMENT OF THE CLOSELY COUPLED PROBES POTENTIAL DROP TECHNIQUE FOR NDE OF SURFACE CRACKS

ADVANCEMENT OF THE CLOSELY COUPLED PROBES POTENTIAL DROP TECHNIQUE FOR NDE OF SURFACE CRACKS ADVANCEMENT OF THE CLOSELY COUPLED PROBES POTENTIAL DROP TECHNIQUE FOR NDE OF SURFACE CRACKS F. Tkeo 1 nd M. Sk 1 Hchinohe Ntionl College of Technology, Hchinohe, Jpn; Tohoku University, Sendi, Jpn Abstrct:

More information

Vadose Zone Hydrology

Vadose Zone Hydrology Objectives Vdose Zone Hydrology 1. Review bsic concepts nd terminology of soil physics. 2. Understnd the role of wter-tble dynmics in GW-SW interction. Drcy s lw is useful in region A. Some knowledge of

More information

APPROXIMATE INTEGRATION

APPROXIMATE INTEGRATION APPROXIMATE INTEGRATION. Introduction We hve seen tht there re functions whose nti-derivtives cnnot be expressed in closed form. For these resons ny definite integrl involving these integrnds cnnot be

More information

MATHS NOTES. SUBJECT: Maths LEVEL: Higher TEACHER: Aidan Roantree. The Institute of Education Topics Covered: Powers and Logs

MATHS NOTES. SUBJECT: Maths LEVEL: Higher TEACHER: Aidan Roantree. The Institute of Education Topics Covered: Powers and Logs MATHS NOTES The Institute of Eduction 06 SUBJECT: Mths LEVEL: Higher TEACHER: Aidn Rontree Topics Covered: Powers nd Logs About Aidn: Aidn is our senior Mths techer t the Institute, where he hs been teching

More information

The Predom module. Predom calculates and plots isothermal 1-, 2- and 3-metal predominance area diagrams. Predom accesses only compound databases.

The Predom module. Predom calculates and plots isothermal 1-, 2- and 3-metal predominance area diagrams. Predom accesses only compound databases. Section 1 Section 2 The module clcultes nd plots isotherml 1-, 2- nd 3-metl predominnce re digrms. ccesses only compound dtbses. Tble of Contents Tble of Contents Opening the module Section 3 Stoichiometric

More information

Math 1B, lecture 4: Error bounds for numerical methods

Math 1B, lecture 4: Error bounds for numerical methods Mth B, lecture 4: Error bounds for numericl methods Nthn Pflueger 4 September 0 Introduction The five numericl methods descried in the previous lecture ll operte by the sme principle: they pproximte the

More information

The steps of the hypothesis test

The steps of the hypothesis test ttisticl Methods I (EXT 7005) Pge 78 Mosquito species Time of dy A B C Mid morning 0.0088 5.4900 5.5000 Mid Afternoon.3400 0.0300 0.8700 Dusk 0.600 5.400 3.000 The Chi squre test sttistic is the sum of

More information

Non-Linear & Logistic Regression

Non-Linear & Logistic Regression Non-Liner & Logistic Regression If the sttistics re boring, then you've got the wrong numbers. Edwrd R. Tufte (Sttistics Professor, Yle University) Regression Anlyses When do we use these? PART 1: find

More information

Student Activity 3: Single Factor ANOVA

Student Activity 3: Single Factor ANOVA MATH 40 Student Activity 3: Single Fctor ANOVA Some Bsic Concepts In designed experiment, two or more tretments, or combintions of tretments, is pplied to experimentl units The number of tretments, whether

More information

CHAPTER 08: MONOPROTIC ACID-BASE EQUILIBRIA

CHAPTER 08: MONOPROTIC ACID-BASE EQUILIBRIA Hrris: Quntittive Chemicl Anlysis, Eight Edition CHAPTER 08: MONOPROTIC ACIDBASE EQUILIBRIA CHAPTER 08: Opener A CHAPTER 08: Opener B CHAPTER 08: Opener C CHAPTER 08: Opener D CHAPTER 08: Opener E Chpter

More information

CBE 291b - Computation And Optimization For Engineers

CBE 291b - Computation And Optimization For Engineers The University of Western Ontrio Fculty of Engineering Science Deprtment of Chemicl nd Biochemicl Engineering CBE 9b - Computtion And Optimiztion For Engineers Mtlb Project Introduction Prof. A. Jutn Jn

More information

Evaluation of Approximate Methods for Calculating the Limit of Detection and Limit of Quantification

Evaluation of Approximate Methods for Calculating the Limit of Detection and Limit of Quantification Environ. Sci. Technol. 1999, 33, 2291-2295 Evlution of Approximte Methods for Clculting the Limit of Detection nd Limit of Quntifiction MICHAEL E. ZORN, ROBERT D. GIBBONS, AND WILLIAM C. SONZOGNI*, Wter

More information

The International Association for the Properties of Water and Steam. Release on the Ionization Constant of H 2 O

The International Association for the Properties of Water and Steam. Release on the Ionization Constant of H 2 O IAPWS R-7 The Interntionl Assocition for the Properties of Wter nd Stem Lucerne, Sitzerlnd August 7 Relese on the Ioniztion Constnt of H O 7 The Interntionl Assocition for the Properties of Wter nd Stem

More information

Fundamentals of Analytical Chemistry

Fundamentals of Analytical Chemistry Homework Fundmentls of nlyticl hemistry hpter 9 0, 1, 5, 7, 9 cids, Bses, nd hpter 9(b) Definitions cid Releses H ions in wter (rrhenius) Proton donor (Bronsted( Lowry) Electron-pir cceptor (Lewis) hrcteristic

More information

SUMMER KNOWHOW STUDY AND LEARNING CENTRE

SUMMER KNOWHOW STUDY AND LEARNING CENTRE SUMMER KNOWHOW STUDY AND LEARNING CENTRE Indices & Logrithms 2 Contents Indices.2 Frctionl Indices.4 Logrithms 6 Exponentil equtions. Simplifying Surds 13 Opertions on Surds..16 Scientific Nottion..18

More information

Chapter 9: Inferences based on Two samples: Confidence intervals and tests of hypotheses

Chapter 9: Inferences based on Two samples: Confidence intervals and tests of hypotheses Chpter 9: Inferences bsed on Two smples: Confidence intervls nd tests of hypotheses 9.1 The trget prmeter : difference between two popultion mens : difference between two popultion proportions : rtio of

More information

Predict Global Earth Temperature using Linier Regression

Predict Global Earth Temperature using Linier Regression Predict Globl Erth Temperture using Linier Regression Edwin Swndi Sijbt (23516012) Progrm Studi Mgister Informtik Sekolh Teknik Elektro dn Informtik ITB Jl. Gnesh 10 Bndung 40132, Indonesi 23516012@std.stei.itb.c.id

More information

Construction and Selection of Single Sampling Quick Switching Variables System for given Control Limits Involving Minimum Sum of Risks

Construction and Selection of Single Sampling Quick Switching Variables System for given Control Limits Involving Minimum Sum of Risks Construction nd Selection of Single Smpling Quick Switching Vribles System for given Control Limits Involving Minimum Sum of Risks Dr. D. SENHILKUMAR *1 R. GANESAN B. ESHA RAFFIE 1 Associte Professor,

More information

13: Diffusion in 2 Energy Groups

13: Diffusion in 2 Energy Groups 3: Diffusion in Energy Groups B. Rouben McMster University Course EP 4D3/6D3 Nucler Rector Anlysis (Rector Physics) 5 Sept.-Dec. 5 September Contents We study the diffusion eqution in two energy groups

More information

A Brief Review on Akkar, Sandikkaya and Bommer (ASB13) GMPE

A Brief Review on Akkar, Sandikkaya and Bommer (ASB13) GMPE Southwestern U.S. Ground Motion Chrcteriztion Senior Seismic Hzrd Anlysis Committee Level 3 Workshop #2 October 22-24, 2013 A Brief Review on Akkr, Sndikky nd Bommer (ASB13 GMPE Sinn Akkr Deprtment of

More information

UNIT 1 FUNCTIONS AND THEIR INVERSES Lesson 1.4: Logarithmic Functions as Inverses Instruction

UNIT 1 FUNCTIONS AND THEIR INVERSES Lesson 1.4: Logarithmic Functions as Inverses Instruction Lesson : Logrithmic Functions s Inverses Prerequisite Skills This lesson requires the use of the following skills: determining the dependent nd independent vribles in n exponentil function bsed on dt from

More information

Problem 22: Buffer solutions 1. The equilibrium, which governs the concentration of H + within the solution is HCOOH! HCOO + H + + Hence K

Problem 22: Buffer solutions 1. The equilibrium, which governs the concentration of H + within the solution is HCOOH! HCOO + H + + Hence K Problem : Buffer solutions. The equilibrium, hich governs the concentrtion of H ithin the solution is HCOOH! HCOO H [HCOO ] 4 Hence. [HCOOH] nd since [HCOOH] 0.00 M nd [HCOO ] 0.50 M -4 0.00 4..8 M 0.50

More information

Vadose Zone Hydrology

Vadose Zone Hydrology Objectives Vdose Zone Hydrology. Review bsic concepts nd terminology of soil physics. 2. Understnd the role of wter-tble dynmics in GW-SW interction. Wter storge in unsturted soil Minerl surfces hve uneven

More information

Black oils Correlations Comparative Study

Black oils Correlations Comparative Study Reservoir Technologies Blck oils Correltions Comprtive Study Dr. Muhmmd Al-Mrhoun, Mnging Director Sturdy, 26 April, 2014 Copyright 2008, NExT, All rights reserved Blck oils Correltions Introduction to

More information

Design and Analysis of Single-Factor Experiments: The Analysis of Variance

Design and Analysis of Single-Factor Experiments: The Analysis of Variance 13 CHAPTER OUTLINE Design nd Anlysis of Single-Fctor Experiments: The Anlysis of Vrince 13-1 DESIGNING ENGINEERING EXPERIMENTS 13-2 THE COMPLETELY RANDOMIZED SINGLE-FACTOR EXPERIMENT 13-2.1 An Exmple 13-2.2

More information

Module 2: Rate Law & Stoichiomtery (Chapter 3, Fogler)

Module 2: Rate Law & Stoichiomtery (Chapter 3, Fogler) CHE 309: Chemicl Rection Engineering Lecture-8 Module 2: Rte Lw & Stoichiomtery (Chpter 3, Fogler) Topics to be covered in tody s lecture Thermodynmics nd Kinetics Rection rtes for reversible rections

More information

MIXED MODELS (Sections ) I) In the unrestricted model, interactions are treated as in the random effects model:

MIXED MODELS (Sections ) I) In the unrestricted model, interactions are treated as in the random effects model: 1 2 MIXED MODELS (Sections 17.7 17.8) Exmple: Suppose tht in the fiber breking strength exmple, the four mchines used were the only ones of interest, but the interest ws over wide rnge of opertors, nd

More information

Strategy: Use the Gibbs phase rule (Equation 5.3). How many components are present?

Strategy: Use the Gibbs phase rule (Equation 5.3). How many components are present? University Chemistry Quiz 4 2014/12/11 1. (5%) Wht is the dimensionlity of the three-phse coexistence region in mixture of Al, Ni, nd Cu? Wht type of geometricl region dose this define? Strtegy: Use the

More information

Monte Carlo method in solving numerical integration and differential equation

Monte Carlo method in solving numerical integration and differential equation Monte Crlo method in solving numericl integrtion nd differentil eqution Ye Jin Chemistry Deprtment Duke University yj66@duke.edu Abstrct: Monte Crlo method is commonly used in rel physics problem. The

More information

SESSION 2 Exponential and Logarithmic Functions. Math 30-1 R 3. (Revisit, Review and Revive)

SESSION 2 Exponential and Logarithmic Functions. Math 30-1 R 3. (Revisit, Review and Revive) Mth 0-1 R (Revisit, Review nd Revive) SESSION Eponentil nd Logrithmic Functions 1 Eponentil nd Logrithmic Functions Key Concepts The Eponent Lws m n 1 n n m m n m n m mn m m m m mn m m m b n b b b Simplify

More information

Properties of Integrals, Indefinite Integrals. Goals: Definition of the Definite Integral Integral Calculations using Antiderivatives

Properties of Integrals, Indefinite Integrals. Goals: Definition of the Definite Integral Integral Calculations using Antiderivatives Block #6: Properties of Integrls, Indefinite Integrls Gols: Definition of the Definite Integrl Integrl Clcultions using Antiderivtives Properties of Integrls The Indefinite Integrl 1 Riemnn Sums - 1 Riemnn

More information

Experiment 9: DETERMINATION OF WEAK ACID IONIZATION CONSTANT & PROPERTIES OF A BUFFERED SOLUTION

Experiment 9: DETERMINATION OF WEAK ACID IONIZATION CONSTANT & PROPERTIES OF A BUFFERED SOLUTION Experiment 9: DETERMINATION OF WEAK ACID IONIZATION CONSTANT & PROPERTIES OF A BUFFERED SOLUTION Purpose: Prt I: The cid ioniztion constnt of wek cid is to be determined, nd the cid is identified ccordingly.

More information

CHEMICAL KINETICS

CHEMICAL KINETICS CHEMICAL KINETICS Long Answer Questions: 1. Explin the following terms with suitble exmples ) Averge rte of Rection b) Slow nd Fst Rections c) Order of Rection d) Moleculrity of Rection e) Activtion Energy

More information

A New Statistic Feature of the Short-Time Amplitude Spectrum Values for Human s Unvoiced Pronunciation

A New Statistic Feature of the Short-Time Amplitude Spectrum Values for Human s Unvoiced Pronunciation Xiodong Zhung A ew Sttistic Feture of the Short-Time Amplitude Spectrum Vlues for Humn s Unvoiced Pronuncition IAODOG ZHUAG 1 1. Qingdo University, Electronics & Informtion College, Qingdo, 6671 CHIA Abstrct:

More information

The goal of this study was to compare the performance of

The goal of this study was to compare the performance of 676 WHEELER ET AL.: JOURNAL OF AOAC INTERNATIONAL VOL. 85, NO. 3, 2002 FOOD COMPOSITION AND ADDITIVES Isoltion of Light Filth from Ground Oregno nd Ground Mrjorm: A Modifiction Using Isopropnol s Deftting

More information

Comparison Procedures

Comparison Procedures Comprison Procedures Single Fctor, Between-Subects Cse /8/ Comprison Procedures, One-Fctor ANOVA, Between Subects Two Comprison Strtegies post hoc (fter-the-fct) pproch You re interested in discovering

More information

G. MATEESCU 1 A. MATEESCU 1 C. SAMOILĂ 2 D. URSUŢIU 2

G. MATEESCU 1 A. MATEESCU 1 C. SAMOILĂ 2 D. URSUŢIU 2 PRELIMINARY EXPERIMENTS OF THE NEW FACILITY AND TECHNOLOGY FOR VACUUM DRYING AND THERMAL POLIMERIZATION OF THE TURBOGENERATORS STATOR BARS INSULATION (INTEPOL) G. MATEESCU 1 A. MATEESCU 1 C. SAMOILĂ 2

More information

Research Project Summary

Research Project Summary Environmentl Assessment nd Risk Anlysis Element Reserch Project Summry June 11,2002 A SCREENING MODEL FOR PREDICTING CONCENTRATIONS OF VOLATILE ORGANIC CHEMICALS IN SHOWER STALL AIR Pul F. Snders, Ph.D.

More information

Fig. 1. Open-Loop and Closed-Loop Systems with Plant Variations

Fig. 1. Open-Loop and Closed-Loop Systems with Plant Variations ME 3600 Control ystems Chrcteristics of Open-Loop nd Closed-Loop ystems Importnt Control ystem Chrcteristics o ensitivity of system response to prmetric vritions cn be reduced o rnsient nd stedy-stte responses

More information

Organic Acids - Carboxylic Acids

Organic Acids - Carboxylic Acids Orgnic Acids - rboxylic Acids Orgnic cids - crboxylic cid functionl group rboxylic cids re redily deprotonted by bses such s NO eg 3 O O - + O - + O 3 O O Acid Bse onjugte Bse onjugte Acid This rection

More information

8 Laplace s Method and Local Limit Theorems

8 Laplace s Method and Local Limit Theorems 8 Lplce s Method nd Locl Limit Theorems 8. Fourier Anlysis in Higher DImensions Most of the theorems of Fourier nlysis tht we hve proved hve nturl generliztions to higher dimensions, nd these cn be proved

More information

Entropy ISSN

Entropy ISSN Entropy 006, 8[], 50-6 50 Entropy ISSN 099-4300 www.mdpi.org/entropy/ ENTROPY GENERATION IN PRESSURE GRADIENT ASSISTED COUETTE FLOW WITH DIFFERENT THERMAL BOUNDARY CONDITIONS Abdul Aziz Deprtment of Mechnicl

More information

Thermal Diffusivity. Paul Hughes. Department of Physics and Astronomy The University of Manchester Manchester M13 9PL. Second Year Laboratory Report

Thermal Diffusivity. Paul Hughes. Department of Physics and Astronomy The University of Manchester Manchester M13 9PL. Second Year Laboratory Report Therml iffusivity Pul Hughes eprtment of Physics nd Astronomy The University of nchester nchester 3 9PL Second Yer Lbortory Report Nov 4 Abstrct We investigted the therml diffusivity of cylindricl block

More information

Measuring Electron Work Function in Metal

Measuring Electron Work Function in Metal n experiment of the Electron topic Mesuring Electron Work Function in Metl Instructor: 梁生 Office: 7-318 Emil: shling@bjtu.edu.cn Purposes 1. To understnd the concept of electron work function in metl nd

More information

Preliminary Design of Semi-Batch Reactor for Synthesis 1,3-Dichloro-2-Propanol Using Aspen Plus

Preliminary Design of Semi-Batch Reactor for Synthesis 1,3-Dichloro-2-Propanol Using Aspen Plus Preliminry Design of Semi-Btch Rector for Synthesis 1,3-Dichloro-2-Propnol Using Aspen Plus Robih Yunus Herliti, A.S. Intn & Z.Z.Abidin Deprtment of Chemicl nd Environmentl Engineering, Fculty of Engineering

More information

Week 10: Line Integrals

Week 10: Line Integrals Week 10: Line Integrls Introduction In this finl week we return to prmetrised curves nd consider integrtion long such curves. We lredy sw this in Week 2 when we integrted long curve to find its length.

More information

Intro to Nuclear and Particle Physics (5110)

Intro to Nuclear and Particle Physics (5110) Intro to Nucler nd Prticle Physics (5110) Feb, 009 The Nucler Mss Spectrum The Liquid Drop Model //009 1 E(MeV) n n(n-1)/ E/[ n(n-1)/] (MeV/pir) 1 C 16 O 0 Ne 4 Mg 7.7 14.44 19.17 8.48 4 5 6 6 10 15.4.41

More information

Psychrometric Applications

Psychrometric Applications Psychrometric Applictions The reminder of this presenttion centers on systems involving moist ir. A condensed wter phse my lso be present in such systems. The term moist irrefers to mixture of dry ir nd

More information

CHM Physical Chemistry I Chapter 1 - Supplementary Material

CHM Physical Chemistry I Chapter 1 - Supplementary Material CHM 3410 - Physicl Chemistry I Chpter 1 - Supplementry Mteril For review of some bsic concepts in mth, see Atkins "Mthemticl Bckground 1 (pp 59-6), nd "Mthemticl Bckground " (pp 109-111). 1. Derivtion

More information

Probability Distributions for Gradient Directions in Uncertain 3D Scalar Fields

Probability Distributions for Gradient Directions in Uncertain 3D Scalar Fields Technicl Report 7.8. Technische Universität München Probbility Distributions for Grdient Directions in Uncertin 3D Sclr Fields Tobis Pfffelmoser, Mihel Mihi, nd Rüdiger Westermnn Computer Grphics nd Visuliztion

More information

INVESTIGATION OF BURSA, ESKIKARAAGAC USING VERTICAL ELECTRICAL SOUNDING METHOD

INVESTIGATION OF BURSA, ESKIKARAAGAC USING VERTICAL ELECTRICAL SOUNDING METHOD INVESTIGATION OF BURSA, ESKIKARAAGAC USING VERTICAL ELECTRICAL SOUNDING METHOD Gökçen ERYILMAZ TÜRKKAN, Serdr KORKMAZ Uludg University, Civil Engineering Deprtment, Burs, Turkey geryilmz@uludg.edu.tr,

More information

Experiment 9: WEAK ACID IONIZATION CONSTANT & PROPERTIES OF A BUFFERED SOLUTION

Experiment 9: WEAK ACID IONIZATION CONSTANT & PROPERTIES OF A BUFFERED SOLUTION Experiment 9: WEAK ACID IONIZATION CONSTANT & PROPERTIES OF A BUFFERED SOLUTION Purpose: Prt I: The cid ioniztion constnt of wek cid is to be determined, nd the cid is identified ccordingly. Prt II: The

More information

3.1 Exponential Functions and Their Graphs

3.1 Exponential Functions and Their Graphs . Eponentil Functions nd Their Grphs Sllbus Objective: 9. The student will sketch the grph of eponentil, logistic, or logrithmic function. 9. The student will evlute eponentil or logrithmic epressions.

More information

Electron Correlation Methods

Electron Correlation Methods Electron Correltion Methods HF method: electron-electron interction is replced by n verge interction E HF c E 0 E HF E 0 exct ground stte energy E HF HF energy for given bsis set HF Ec 0 - represents mesure

More information

User's Guide of the Inter-Batch Physico-Chemical Variability Calculator

User's Guide of the Inter-Batch Physico-Chemical Variability Calculator User's Guide of the Inter-Btch Physico-Chemicl Vribility Clcultor Scope The Inter-Btch Physico-Chemicl Vribility (IBPCV) Clcultor enbles to test if the beteenbtch vribility of the physico-chemicl chrcteristics

More information

Exponentials & Logarithms Unit 8

Exponentials & Logarithms Unit 8 U n i t 8 AdvF Dte: Nme: Eponentils & Logrithms Unit 8 Tenttive TEST dte Big ide/lerning Gols This unit begins with the review of eponent lws, solving eponentil equtions (by mtching bses method nd tril

More information

8.2 ESTIMATING DETENTION VOLUMES

8.2 ESTIMATING DETENTION VOLUMES 8.. Plnning versus Design number of detention bsin plnning methods hve been proposed in the professionl literture. These provide estimtes of the reuired volume of detention storge. The outlet structure

More information

Understanding the relationship between floral fragrance, ethylene production and vase life of cut rose flowers

Understanding the relationship between floral fragrance, ethylene production and vase life of cut rose flowers Ethylene, Frgrnce nd Vse Life of Cut Rose Flowers 9/27/216 Progress Report Understnding the reltionship between florl frgrnce, ethylene production nd vse life of cut rose flowers An Mri Bord Dvid Clrk

More information

Genetic Programming. Outline. Evolutionary Strategies. Evolutionary strategies Genetic programming Summary

Genetic Programming. Outline. Evolutionary Strategies. Evolutionary strategies Genetic programming Summary Outline Genetic Progrmming Evolutionry strtegies Genetic progrmming Summry Bsed on the mteril provided y Professor Michel Negnevitsky Evolutionry Strtegies An pproch simulting nturl evolution ws proposed

More information

Research on the Quality Competence in Manufacturing Industry

Research on the Quality Competence in Manufacturing Industry Reserch on the Qulity Competence in Mnufcturing Industry Xioping M, Zhijun Hn Economics nd Mngement School Nnjing University of Science nd Technology Nnjing 210094, Chin Tel: 86-25-8431-5400 E-mil: hnzhij4531@sin.com

More information

Estimation of the particle concentration in hydraulic liquid by the in-line automatic particle counter based on the CMOS image sensor

Estimation of the particle concentration in hydraulic liquid by the in-line automatic particle counter based on the CMOS image sensor Glyndŵr University Reserch Online Conference Presenttion Estimtion of the prticle concentrtion in hydrulic liquid by the in-line utomtic prticle counter bsed on the CMOS imge sensor Kornilin, D.V., Kudryvtsev,

More information

CHAPTER 20: Second Law of Thermodynamics

CHAPTER 20: Second Law of Thermodynamics CHAER 0: Second Lw of hermodynmics Responses to Questions 3. kg of liquid iron will hve greter entropy, since it is less ordered thn solid iron nd its molecules hve more therml motion. In ddition, het

More information

Driving Cycle Construction of City Road for Hybrid Bus Based on Markov Process Deng Pan1, a, Fengchun Sun1,b*, Hongwen He1, c, Jiankun Peng1, d

Driving Cycle Construction of City Road for Hybrid Bus Based on Markov Process Deng Pan1, a, Fengchun Sun1,b*, Hongwen He1, c, Jiankun Peng1, d Interntionl Industril Informtics nd Computer Engineering Conference (IIICEC 15) Driving Cycle Construction of City Rod for Hybrid Bus Bsed on Mrkov Process Deng Pn1,, Fengchun Sun1,b*, Hongwen He1, c,

More information

NUMERICAL INTEGRATION. The inverse process to differentiation in calculus is integration. Mathematically, integration is represented by.

NUMERICAL INTEGRATION. The inverse process to differentiation in calculus is integration. Mathematically, integration is represented by. NUMERICAL INTEGRATION 1 Introduction The inverse process to differentition in clculus is integrtion. Mthemticlly, integrtion is represented by f(x) dx which stnds for the integrl of the function f(x) with

More information

Physics 202H - Introductory Quantum Physics I Homework #08 - Solutions Fall 2004 Due 5:01 PM, Monday 2004/11/15

Physics 202H - Introductory Quantum Physics I Homework #08 - Solutions Fall 2004 Due 5:01 PM, Monday 2004/11/15 Physics H - Introductory Quntum Physics I Homework #8 - Solutions Fll 4 Due 5:1 PM, Mondy 4/11/15 [55 points totl] Journl questions. Briefly shre your thoughts on the following questions: Of the mteril

More information

Probabilistic Investigation of Sensitivities of Advanced Test- Analysis Model Correlation Methods

Probabilistic Investigation of Sensitivities of Advanced Test- Analysis Model Correlation Methods Probbilistic Investigtion of Sensitivities of Advnced Test- Anlysis Model Correltion Methods Liz Bergmn, Mtthew S. Allen, nd Dniel C. Kmmer Dept. of Engineering Physics University of Wisconsin-Mdison Rndll

More information

First Law of Thermodynamics. Control Mass (Closed System) Conservation of Mass. Conservation of Energy

First Law of Thermodynamics. Control Mass (Closed System) Conservation of Mass. Conservation of Energy First w of hermodynmics Reding Problems 3-3-7 3-0, 3-5, 3-05 5-5- 5-8, 5-5, 5-9, 5-37, 5-0, 5-, 5-63, 5-7, 5-8, 5-09 6-6-5 6-, 6-5, 6-60, 6-80, 6-9, 6-, 6-68, 6-73 Control Mss (Closed System) In this section

More information

Effects of dry density on soil water characteristic curve of clay

Effects of dry density on soil water characteristic curve of clay 5th Interntionl Conference on Civil, Architecturl nd Hydrulic Engineering (ICCAHE 2016) Effects of dry density on soil wter chrcteristic curve of cly Hu Mengling, byo Hilin, cren Jinxi School of Architecture

More information

Goals: Determine how to calculate the area described by a function. Define the definite integral. Explore the relationship between the definite

Goals: Determine how to calculate the area described by a function. Define the definite integral. Explore the relationship between the definite Unit #8 : The Integrl Gols: Determine how to clculte the re described by function. Define the definite integrl. Eplore the reltionship between the definite integrl nd re. Eplore wys to estimte the definite

More information

Applications of Bernoulli s theorem. Lecture - 7

Applications of Bernoulli s theorem. Lecture - 7 Applictions of Bernoulli s theorem Lecture - 7 Prcticl Applictions of Bernoulli s Theorem The Bernoulli eqution cn be pplied to gret mny situtions not just the pipe flow we hve been considering up to now.

More information

Design Data 1M. Highway Live Loads on Concrete Pipe

Design Data 1M. Highway Live Loads on Concrete Pipe Design Dt 1M Highwy Live Lods on Concrete Pipe Foreword Thick, high-strength pvements designed for hevy truck trffic substntilly reduce the pressure trnsmitted through wheel to the subgrde nd consequently,

More information

Review of Calculus, cont d

Review of Calculus, cont d Jim Lmbers MAT 460 Fll Semester 2009-10 Lecture 3 Notes These notes correspond to Section 1.1 in the text. Review of Clculus, cont d Riemnn Sums nd the Definite Integrl There re mny cses in which some

More information

UNIVERSITY OF KWAZULU-NATAL EXAMINATIONS: JUNE 2007

UNIVERSITY OF KWAZULU-NATAL EXAMINATIONS: JUNE 2007 EXAMINATIONS: SUBJECT, COURSE AND CODE: HYDROLOGY 20 DURATION: HOURS TOTAL MARKS: 00 Internl Exminer : Ms ML Wrburton : Prof RE Schulze : Ms KT Chetty : Mr MJC Horn Externl Exminer : Prof PJT Roberts STUDENTS

More information

Rel Gses 1. Gses (N, CO ) which don t obey gs lws or gs eqution P=RT t ll pressure nd tempertures re clled rel gses.. Rel gses obey gs lws t extremely low pressure nd high temperture. Rel gses devited

More information

The use of a so called graphing calculator or programmable calculator is not permitted. Simple scientific calculators are allowed.

The use of a so called graphing calculator or programmable calculator is not permitted. Simple scientific calculators are allowed. ERASMUS UNIVERSITY ROTTERDAM Informtion concerning the Entrnce exmintion Mthemtics level 1 for Interntionl Bchelor in Communiction nd Medi Generl informtion Avilble time: 2 hours 30 minutes. The exmintion

More information

Non herbaceous biochars (BC) exert neutral to negative influences on arbuscular mycorrhizal fungal (AMF) abundance

Non herbaceous biochars (BC) exert neutral to negative influences on arbuscular mycorrhizal fungal (AMF) abundance Non herbceous biochrs (BC) exert neutrl to negtive influences on rbusculr mycorrhizl fungl (AMF) bundnce WARNOCK, D.D., 1 MAJOR, J., 2 LEHMANN, J., 2 McBRIDE, B., 1 RILLIG, M.C. 1,3 1 Division of Biologicl

More information

DETERMINATION OF MECHANICAL PROPERTIES OF NANOSTRUCTURES WITH COMPLEX CRYSTAL LATTICE USING MOMENT INTERACTION AT MICROSCALE

DETERMINATION OF MECHANICAL PROPERTIES OF NANOSTRUCTURES WITH COMPLEX CRYSTAL LATTICE USING MOMENT INTERACTION AT MICROSCALE Determintion RevAdvMterSci of mechnicl 0(009) -7 properties of nnostructures with complex crystl lttice using DETERMINATION OF MECHANICAL PROPERTIES OF NANOSTRUCTURES WITH COMPLEX CRYSTAL LATTICE USING

More information

Determination of the activation energy of silicone rubbers using different kinetic analysis methods

Determination of the activation energy of silicone rubbers using different kinetic analysis methods Determintion of the ctivtion energy of silicone rubbers using different kinetic nlysis methods OU Huibin SAHLI ohmed BAIEE Thierry nd GELIN Jen-Clude FETO-ST Institute / Applied echnics Deprtment, 2 rue

More information

COMPARISON OF DIFFERENT PROCEDURES TO PREDICT UNSATURATED SOIL SHEAR STRENGTH. S.K. Vanapalli and D.G. Fredlund 1

COMPARISON OF DIFFERENT PROCEDURES TO PREDICT UNSATURATED SOIL SHEAR STRENGTH. S.K. Vanapalli and D.G. Fredlund 1 COMPARISON OF DIFFERENT PROCEDURES TO PREDICT UNSATURATED SOIL SHEAR STRENGTH S.K. Vnplli nd D.G. Fredlund 1 Abstrct: Severl procedures hve been proposed in the recent yers to predict the sher strength

More information

5.7 Improper Integrals

5.7 Improper Integrals 458 pplictions of definite integrls 5.7 Improper Integrls In Section 5.4, we computed the work required to lift pylod of mss m from the surfce of moon of mss nd rdius R to height H bove the surfce of the

More information

P 3 (x) = f(0) + f (0)x + f (0) 2. x 2 + f (0) . In the problem set, you are asked to show, in general, the n th order term is a n = f (n) (0)

P 3 (x) = f(0) + f (0)x + f (0) 2. x 2 + f (0) . In the problem set, you are asked to show, in general, the n th order term is a n = f (n) (0) 1 Tylor polynomils In Section 3.5, we discussed how to pproximte function f(x) round point in terms of its first derivtive f (x) evluted t, tht is using the liner pproximtion f() + f ()(x ). We clled this

More information

SENSITIVITY OF A REACTIVE-TRACER BASED ESTIMATE OF THERMAL BREAKTHROUGH IN AN EGS TO PROPERTIES OF THE RESERVOIR AND TRACER

SENSITIVITY OF A REACTIVE-TRACER BASED ESTIMATE OF THERMAL BREAKTHROUGH IN AN EGS TO PROPERTIES OF THE RESERVOIR AND TRACER PROCEEDINGS, Thirty-Seventh Workshop on Geotherml Reservoir Engineering Stnford University, Stnford, Cliforni, Jnury 3 - Februry 1, 212 SGP-TR-194 SENSITIVITY OF A REACTIVE-TRACER BASED ESTIMATE OF THERMAL

More information

Energy Consideration

Energy Consideration Energy Considertion It hs been noted tht the most common brkes employ friction to trnsform the brked system's mechnicl energy, irreversibly into het which is then trnsferred to the surrounding environment

More information

3.2.2 Kinetics. Maxwell Boltzmann distribution. 128 minutes. 128 marks. Page 1 of 12

3.2.2 Kinetics. Maxwell Boltzmann distribution. 128 minutes. 128 marks. Page 1 of 12 3.. Kinetics Mxwell Boltzmnn distribution 8 minutes 8 mrks Pge of M. () M On the energy xis E mp t the mximum of the originl pek M The limits for the horizontl position of E mp re defined s bove the word

More information

New Expansion and Infinite Series

New Expansion and Infinite Series Interntionl Mthemticl Forum, Vol. 9, 204, no. 22, 06-073 HIKARI Ltd, www.m-hikri.com http://dx.doi.org/0.2988/imf.204.4502 New Expnsion nd Infinite Series Diyun Zhng College of Computer Nnjing University

More information

Lecture INF4350 October 12008

Lecture INF4350 October 12008 Biosttistics ti ti Lecture INF4350 October 12008 Anj Bråthen Kristoffersen Biomedicl Reserch Group Deprtment of informtics, UiO Gol Presenttion of dt descriptive tbles nd grphs Sensitivity, specificity,

More information

Vibrational Relaxation of HF (v=3) + CO

Vibrational Relaxation of HF (v=3) + CO Journl of the Koren Chemicl Society 26, Vol. 6, No. 6 Printed in the Republic of Kore http://dx.doi.org/.52/jkcs.26.6.6.462 Notes Vibrtionl Relxtion of HF (v3) + CO Chng Soon Lee Deprtment of Chemistry,

More information

New data structures to reduce data size and search time

New data structures to reduce data size and search time New dt structures to reduce dt size nd serch time Tsuneo Kuwbr Deprtment of Informtion Sciences, Fculty of Science, Kngw University, Hirtsuk-shi, Jpn FIT2018 1D-1, No2, pp1-4 Copyright (c)2018 by The Institute

More information

Math 31S. Rumbos Fall Solutions to Assignment #16

Math 31S. Rumbos Fall Solutions to Assignment #16 Mth 31S. Rumbos Fll 2016 1 Solutions to Assignment #16 1. Logistic Growth 1. Suppose tht the growth of certin niml popultion is governed by the differentil eqution 1000 dn N dt = 100 N, (1) where N(t)

More information

Interpreting Integrals and the Fundamental Theorem

Interpreting Integrals and the Fundamental Theorem Interpreting Integrls nd the Fundmentl Theorem Tody, we go further in interpreting the mening of the definite integrl. Using Units to Aid Interprettion We lredy know tht if f(t) is the rte of chnge of

More information

( ) as a fraction. Determine location of the highest

( ) as a fraction. Determine location of the highest AB Clculus Exm Review Sheet - Solutions A. Preclculus Type prolems A1 A2 A3 A4 A5 A6 A7 This is wht you think of doing Find the zeros of f ( x). Set function equl to 0. Fctor or use qudrtic eqution if

More information

Jin-Fu Li. Department of Electrical Engineering National Central University Jhongli, Taiwan

Jin-Fu Li. Department of Electrical Engineering National Central University Jhongli, Taiwan Trnsprent BIST for RAMs Jin-Fu Li Advnced d Relible Systems (ARES) Lb. Deprtment of Electricl Engineering Ntionl Centrl University Jhongli, Tiwn Outline Introduction Concept of Trnsprent Test Trnsprent

More information

Using QM for Windows. Using QM for Windows. Using QM for Windows LEARNING OBJECTIVES. Solving Flair Furniture s LP Problem

Using QM for Windows. Using QM for Windows. Using QM for Windows LEARNING OBJECTIVES. Solving Flair Furniture s LP Problem LEARNING OBJECTIVES Vlu%on nd pricing (November 5, 2013) Lecture 11 Liner Progrmming (prt 2) 10/8/16, 2:46 AM Olivier J. de Jong, LL.M., MM., MBA, CFD, CFFA, AA www.olivierdejong.com Solving Flir Furniture

More information

The Velocity Factor of an Insulated Two-Wire Transmission Line

The Velocity Factor of an Insulated Two-Wire Transmission Line The Velocity Fctor of n Insulted Two-Wire Trnsmission Line Problem Kirk T. McDonld Joseph Henry Lbortories, Princeton University, Princeton, NJ 08544 Mrch 7, 008 Estimte the velocity fctor F = v/c nd the

More information