Determination of manganese with crystal violet in plant material in different fertilization

Size: px
Start display at page:

Download "Determination of manganese with crystal violet in plant material in different fertilization"

Transcription

1 Agronomy Reserch 7(2), , 2009 Determintion of mngnese with crystl violet in plnt mteril in different fertiliztion D.Kostov, M.Kmurov Agriculturl University Plovdiv 12, Mendeleev Str., 4000 Plovdiv, Bulgri E-mil: Astrct. A study in multiple-fctor sttionry field experiment with 16 vrints NPK on ckground with nd without nnul fertiliztion with mnure ws crried out t the Agriculturl University in Plovdiv, Bulgri. The mngnese content in the roots of rdishes, cultivr Red with white tils, ws determined y new extrction-photometric method with Crystl Violet. The ion-ssocite of mngnese (VII) ws completely extrcted in single extrction of only 30 s. The molr sorptivity of the ssocite ws (1.54 ± 0.05) x 10 4 l mol -1 cm -1. This indictes the high sensitivity of the given rection. Mngnese hs een determined y tomic-sorption method, too, in order to compre the results. It ws estlished tht fertiliztion hs n effect upon the mngnese content in the roots of rdishes. The roots of rdishes ccumulte the highest level of mngnese mg/kg in minerl fertiliztion N:P:K = 3:2:1 with 40 t/h mnure. The reltionship etween yield nd mngnese content in rdish roots under the influence of fertiliztion hs een estlished. Key words: mngnese determintion, Crystl Violet, plnts, fertiliztion INTRODUCTION The extremely importnt role of mngnese in the growth of plnts determined the gol of our study. In the conditions of intensive frming, the prolem of trce elements in the soil-plnt system ttined significnt importnce. Mngnese is one of the microelements which re ctively sored y plnts. The iologicl sorption coefficient for mngnese is greter thn those for the other microelements in this group, nmely Zn, Cu, Mo, Ni, Co, P. The formtion of the plnt mss depends on the mngnese provision for the plnts. Mngnese tkes prt in numer of importnt physiologicl nd iologicl processes in the lower nd higher plnt orgnisms in the nitrogen metolism, photosynthesis, rething nd mintining the necessry oxidtion-reduction conditions in the cell (Sidorovich et l., 1987; Udintsev et l., 1981; Nson, 1952). The mngnese content in the plnts vries in wide rnge from one hundred to one thousnd prts of the percentge. Among the field crops, eetroot (the leves) nd leguminous plnts re chrcterized with higher content of mngnese, ut the content is lower in corn (cerels). Fruit tree species lso ccumulte different mounts of mngnese in their tissues when grown under the sme soil conditions. The level of mngnese in plnts is usully incresed with the progress of the vegettion. Higher levels of mngnese were found in plnt orgns in which the 811

2 metolism is more intensive. Experiments on cotton (Nurliev nd Yrovenko, 1980) hve shown tht mngnese ccelertes the entrnce of phosphorus into the plnts nd hs positive effect on growth nd fruit formtion. Mngnese is n importnt element of nitrogen metolism in plnts. Mngnese insufficiency leds to considerle ccumultion of nitrtes, disturnce in the protein synthesis in plnts nd, in some pnts, illness (Nichols, 1961; Bergmnn et l., 1976; Heintze, 1966), nd cuses decrese in C nd Mg content (Shkolnik, 1974). The optiml content of mngnese, its criticl level nd toxic concentrtion t which the growth is depressed nd the yield decresed, hve een estlished for gret numer of crops (Pottuev, 1990). Vrious methods for determintion of mngnese hve een pulished. Anlyses with some regents hve een used (Kdoyshi, 2004; Trfder, 2004; Shr, 2003; Blogh, 2003; Alkn, 2003; Winkler, 2003; Bisws, 2003). The present study is intended to cler up the effect of prolonged fertiliztion (minerl nd orgnic) on the mngnese content in rdishes using new extrctionphotometric method with Crystl Violet for determintion of mngnese (Kostov, in press). We used the triphenylmethne dye Crystl Violet, for the first time, to show tht it cn e pplied to the nlysis of mngnese in plnt mteril. MATERIAL AND METHODS The study ws crried out in the 23 rd yer of multiple-fctor sttionry field experiment. The experiment ws crried out t 5 levels of fertiliztion with nitrogen, 5 levels with phosphorus nd 4 levels with potssium with 16 vrints of NPK, on ckground with nd without nnul fertiliztion of 40 t/h of mnure. The following scheme ws pplied: 1 N 0 P 0 K 0 9 N 240 P 240 K N 120 P 120 K 0 10 N 240 P 360 K N 120 P 0 K N 360 P 120 K N 0 P 120 K N 360 P 240 K N 120 P 120 K N 360 P 360 K N 120 P 240 K N 240 P 240 K N 120 P 360 K N 360 P 360 K N 240 P 120 K N 480 P 480 K 360 The sttionry experiment ws set on strongly leched medow cinnmon soil (cly frction in the 0 20 cm lyer ws from %, the sum of the interchngele ctions rnged from % nd tht of the interchngele C nd Mg from %) with neutrl rection (ph 6.8 to 7.0) with 2.2 % humus content (y Tyurin). 812

3 Soil smples from 0 20 cm deep lyer were tken for grochemicl nlysis nd nlysed for moile P 2 O 5 nd K 2 O - y the Egner-Rhiem method; minerl nitrogen (NH 4 -N + NO 3 -N) y distilltion; ph potentiometriclly in queous extrct. The plnts were grown y the technology dopted for the region. Yield of roots per hectre ws tken into ccount; dry mtter per cent ws determined y weight. For the first 16 yers in the sttionry field experiment, erly tomtoes (1 st crop) nd lte-heded cge (2 nd crop) were grown; from the 17 th 20 th yers, medium erly tomtoes with intermedite crop repko were plnted in utumn nd hrvested in spring. Mize for grin ws grown in the 21 st yer, followed in the 22 nd yer y vegetle mrrows, with second crop of spinch; in the 23 rd yer, erly-heded cge nd rdishes cultivr Red with white tils were grown; the ltter crop ws used for the present study. Up to the 16 th yer, fertiliztion with the ove-mentioned mounts of nutrient elements ws pplied to ech of the cultivted crops, ut from the 17 th yer onwrds it ws only pplied to the first crop. An nlysis for mngnese content y vrints of verged root smples ws crried out using new extrction-photometric method with Crystl Violet. Mngnese(VII) forms n ion-ssocition complex with triphenylmethne dye Crystl Violet (CV). To remove the possiility of extrcting the ion ssocite, the following different types of orgnic solvents were tested: hydrocrons (enzene nd toluene), ethers, ketones, lcohols, chloroform, dichlorethne nd tetrchlorethne. The studies showed tht the ssocite is est dissolved in 1,2-dichloroethne. Mximum light sorption of the ssocite is oserved t 250 nm. The molr sorility determined y the Komr-Tolmtchov method (Bultov nd Klinkin, 1972) is 250 = (1.54 ± 0.05) x 10 4 l mol -1 cm -1. The sensitivity of the Sndell method (Sndell, 1959) is W S = 3.57 x 10-3 g cm -2. The otined study results in connection with the method we developed for determintion of mngnese with Crystl Violet re worked with computer progrmme for two-fctor dispersive nlysis nd multispecified comprtive nlysis in Duncn s method (Mokrev nd Murgov, 1988). Apprtus Spectrophotometer VSU with 1-cm light pth qurtz cells. Procedure A wet urning of the plnt smple ws crried out in which mixture of sulphuric nd nitric cids ws used for the oxidtion of the orgnic sustnce. A portion of 2 g of ir-dry plnt mteril ws plced into Kjeldhl flsk nd moistened with 4 ml distilled wter; 5 ml conc. sulphuric cid nd 10 ml conc. nitric cid were dded. The flsk ws slightly heted to void splshing of the solution decomposition nd fuming wy of HNO 3. If the oxidtion of the orgnic sustnce ws not completed, HNO 3 ws dded nd heted gin. When ll the orgnic mteril ws oxidized, the solution ws heted t higher temperture for 10 min (Vzhenin, 1974). After cooling, the solution ws diluted with wter nd filtered. Portions of 3 ml conc. H 2 SO 4, 2 ml conc. H 3 PO 4 813

4 nd 0,1 g potssium periodte were dded for oxidtion of Mn(II) to Mn(VII). It ws heted to oiling point nd the temperture ws mintined for 10 min (Sndell, 1959). After cooling the solution ws diluted with wter nd filtered, trnsferred into volumetric flsk of 50 ml nd diluted to the mrk with distilled wter. Aliquot prts of this solution were tken for nlysis. In seprtory funnel of 100 ml re introduced the following solutions: 0.3 ml hydrochloric cid 1.2 M, 0.4 ml Crystl Violet 1x10 3 M, liquote of the prepred solution of the plnt smple. It is diluted up to volume of the queous phse of 10 ml with distilled wter nd extrcted with 3 ml of 1,2-dichloroethne for 30 s. The orgnic phse is filtered through dry pper into 1 cm cuvette nd the sornce mesured t 250 nm. A lnk is run in prllel in the sence of plnt smple. A clirtion grph is constructed with stndrds similrly treted. RESULTS AND DISCUSSION The minerl fertiliztion led to considerle chnges in mngnese content in the rdishes. The scheme of fertiliztion vrints is shown in Tles 1 nd 2. Mngnese content in the plnt mteril ws determined y using new extrction-photometric method, triphenylmethne dye Crystl Violet, for the first time,. Tking into ccount the different fertiliztion with N, P nd K (Vrints 2,3, 4) it cn e seen tht rdish ccumulte the lest mngnese 10 mg kg -1 in fertiliztion only with P nd K (N 0 P 120 K 120 ) (Vrint 4). The content of mngnese rises to more thn 5 times if nitric fertilizer N 120 P 120 K 0 (Vrint 2) nd N 120 P 0 K 120 (Vrint 3) cn e used in fertiliztion. Tle 1. Mngnese content in rdish (mg kg -1 dry mss) NPK NVrints Method with CV Reli RSD* AAS Yield Mn mg kg -1 P= 99 % % Mn mg kg -1 kg h -1 1 N 0 P 0 K N 120 P 120 K d N 120 P 0 K N 0 P 120 K N 120 P 120 K N 120 P 240 K d N 120 P 360 K c N 240 P 120 K c N 240 P 240 K f N 240 P 360 K N 360 P 120 K e N 360 P 240 K d N 360 P 360 K N 240 P 240 K f N 360 P 360 K c N 480 P 480 K

5 *Reltive Stndrd Devition for CV method (n = 6),, c, A degree of reliility In constnt level of potssium K 120, mngnese content incresed with the increse of the fertiliztion norm of phosphorus. It is well expressed in the three levels of nitrogen fertiliztion with N 120, N 240 nd N 360. Vrints 5,6, 7 with fertiliztion norm N 120 comprise 15 mg kg -1, mg kg -1 nd mg kg -1 Mn dry mss. In fertiliztion norm N 240 (vrints 8,9,10) the content of mngnese increses to mg kg -1,63.25 mg kg -1 nd mg kg -1 with the incresing content of phosphorus. The ove-mentioned suordintion cn e seen in Vrints 11,12, 13 with N 360, in which the content of mngnese content reches mg kg -1, 26 mg kg -1 nd mg kg -1 with the incresing phosphorus content. The suordintion of yield from the content of mngnese in fertiliztion with P 120 in different levels N is smll negtive with correltion coefficient. r = (Fig. 1). A negtive correltion (r = -0.46) is otined etween the concentrtion of mngnese nd yield in fertiliztion with N 120 in different levels of P nd. With the incresing of the concentrtion of mngnese, the yield decreses (Fig. 2) y = -7,7343x ,6 Yield kg/h Mn mg/kg Fig. 1. The suordintion etween the yield kg h -1 nd Mn content fertiliztion with P 120 in different levels N ; Correltion coefficient r =

6 Yield kg/h y = -58,919x Mn mg/kg 60 Fig. 2. The suordintion etween the yield kg h -1 nd Mn content fertiliztion with N 120 in different levels P ; Correltion coefficient r = A smll negtive correltion (r = -0.18) determines the reltion etween the yield nd mngnese content in rdishes in the vrints from 1 to 16 (Fig.3). Yield kg/h y = -19,028x Mn mg/kg Fig. 3. A generl suordintion etween yield kg h -1 nd Mn content in rdishes with minerl fertiliztion; Correltion coefficient. r =

7 In the three levels of nitrogen fertiliztion with N 120, N 240 nd N 360, the highest content ws mg kg -1 Mn dry mss fter fertiliztion with N 240 :P 360 :K 120 = 2:3:1. Mngnese content in rdishes increses with the incresing of the fertiliztion norm of N, P nd K. Thus, for instnce, in fertiliztion with N 120 P 120 K 120 the mngnese content in rdishes is mg kg -1 (Vrint 5). With the incresing of the fertiliztion norm of N 240 P 240 K 240, mngnese lso increses to mg kg -1 (Vrint 14); in fertiliztion norm N 360 P 360 K 360, the content of mngnese is highest mg kg -1 (Vrint 15). In the experiment with minerl fertiliztion nd 40 t h -1 mnure, the lowest content of mngnese ws in the roots of rdishes fertilized only with phosphorus nd potssium (N 0 P 120 K 120 ) 16 mg kg -1 Mn dry mss (Vrint 4) (Tle 2). Tle 2. Mngnese content in rdish (mg kg -1 dry mss) NPK + 40 t h -1 mnure N Vrints Method with CV Reli. RSD* AAS Yield Mn mg kg -1 P= 99 % % Mn mg kg -1 kg h -1 1 N 0 P 0 K N 120 P 120 K N 120 P 0 K N 0 P 120 K f N 120 P 120 K c N 120 P 240 K d N 120 P 360 K N 240 P 120 K c N 240 P 240 K f N 240 P 360 K N 360 P 120 K e N 360 P 240 K e N 360 P 360 K N 240 P 240 K N 360 P 360 K c N 480 P 480 K *Reltive Stndrd Devition for CV method (n = 6),, c, A degree of reliility In the three levels of nitrogen fertiliztion with mnure: N 120 (vrints 5, 6, 7), N 240 (vrints 8, 9, 10) nd N 360 (vrints 11, 12, 13) the highest content of mngnese is t P 240. Negtive correltion (r = -0.71) determines the reltion etween yield nd the mngnese content in vrints of fertiliztion with N 120 nd 40 t h -1 mnure in different levels nd (Fig.4). It cn e seen from the figure 4 tht with the incresing of the concentrtion of mngnese, the yield decreses. 817

8 In vrints of fertiliztion with mnure nd P 120 in different levels N nd K mngnese hs positive influence upon yield nd the correltion coefficient is r = 0.25 (Fig.5). The suordintion of yield from the content of mngnese in rdishes with minerl fertiliztion NPK nd 40 t h -1 mnure is negtive with smll correltion coefficient r = (Fig.6). It cn e seen from figure 6 tht with the incresing of the concentrtion of mngnese, the yield decreses. The highest level in minerl fertiliztion with 40 t/h mnure ws mg kg -1 Mn dry mss fter fertiliztion with N:P:K = 3:2:1. The experimentl dt show tht this rtio is different if the fertiliztion hs een crried out only with N, P nd K. Yield kg/h y = -168,84x Mn mg/kg Fig. 4. The suordintion etween the yield kg h -1 nd Mn content fertiliztion with N 120 nd 40 t h -1 mnure in different levels nd ; Correltion coefficient r =

9 y = 57,976x ,4 Yield kh/h Mn mg/kg Fig. 5. The suordintion etween the yield kg h -1 nd Mn content fertiliztion with P 120 nd 40 t/h mnure in different levels N nd K; Correltion coefficient. r = 0.25 It cn e ssumed tht chnges in mngnese content in the plnt roots in this experiment (minerl fertiliztion with 40 t h -1 mnure) were due to the effect of the colloid frctions of the mnure upon the minerl nutrition Yield kg/h y = -43,753x , Mn mg/kg Fig. 6. A generl suordintion etween yield kg h -1 nd Mn content in rdishes with minerl fertiliztion NPK nd 40 t h -1 mnure; Correltion coefficient r =

10 The experimentl dt (Tle 2) show tht in the three levels of nitric fertiliztion the mngnese content increses with the increse of the fertiliztion norm of nitrogen: N 120 P 240 K mg kg -1 Mn (Vrint 6); N 240 P 240 K 120 k mg kg - 1 Mn (Vrint 9); N 360 P 240 K mg kg -1 Mn (Vrint 12). The highest level in minerl fertiliztion with 40 t h -1 mnure ws mg kg -1 Mn dry mss fter fertiliztion with N:P:K = 3:2:1. The experimentl dt show tht this rtio is different if the fertiliztion hs een crried out only with N, P nd K. It cn e ssumed tht chnges in the mngnese content in the plnt roots in this experiment (minerl fertiliztion with 40 t h -1 mnure) were due to the effect of the colloid frctions of the mnure on the minerl nutrition. To check the method tht we propose, prllel determintion of mngnese content ws crried out y the tomic-sorption method ( S). The results otined (Tles 1 nd 2) show stisfctory ccurcy of the method for determintion of mngnese in plnt mteril with triphenylmethne dye Crystl Violet. The reltive stndrd devition of the method using Crystl Violet is 1.5 % t sttisticl reliility of 95%. The experimentl dt y oth methods show tht the proposed extrctionphotometric method with Crystl Violet cn e successfully used for determintion of micro quntities of mngnese in plnt mteril. Some chnges in the yield of the roots occur under the influence of the fertiliztion (Tle 1). When NPK ws individully pplied, the highest yield ws otined in the vrint 14 where it ws fertilized with N 240 P 240 K kg h -1. High yields were lso otined in the vrints 7, 11, 15 nd 16 where the yield vried from to12404 kg h -1. It seems tht in these vrints (with the exception of vrint 11) the yield of the roots decreses with the increse of the mngnese content. In the remining vrints of minerl fertiliztion, definite connection etween the yield otined nd mngnese content in the roots ws not estlished. In the experiment with mnure ckground the yield ws lower (Tle 2). The lowest yield ws in the vrint 12 with N 360 P 240 K kg h -1, nd the highest kg h -1 which ws fertilized with N 240 P 120 K 120 vrint 8. In these two vrints (12 nd 8), s mngnese content increses, the yield of the roots decreses. It could e concluded therefore tht the presence of the highest level of mngnese in the roots leds to the lowest yield. After this fertiliztion with NPK, on the ckground of mnure, gin no connection etween mngnese content nd yield otined ws estlished. The estlished chnges of the mngnese content in the roots nd those of the yield otined y vrints could e explined y chnges of the grochemicl properties of the soil under the influence of prolonged fertiliztion. 820

11 CONCLUSIONS A new extrction spectrophotometric method for the determintion of the concentrtion of mngnese with Crystl Violet in plnt mteril ws used. The method is simple, sensitive nd rpid with stisfctory results nd good reproduciility. Mngnese is determined in roots of rdishes in different fertiliztion. When rdish is fertilized only with NPK, the mngnese content in the roots is incresed with the increse of the fertiliztion norm of phosphorus. In the three levels of nitrogen fertiliztion with N 120, N 240 nd N 360, the highest content ws mg kg -1 Mn dry mss fter fertiliztion with N 240 :P 360 :K 120 = 2:3:1. A smll negtive correltion determines the reltion etween the yield nd the content of mngnese in rdishes fertilized only with NPK. The roots of rdishes ccumulte the highest level of mngnese mg kg -1 in minerl fertiliztion N:P:K = 3:2:1 with 40 t h -1 mnure. The experimentl dt show tht this rtio is different if the fertiliztion hs een crried out only with N, P nd K. The suordintion of yield from the content of mngnese in rdishes with minerl fertiliztion NPK nd 40 t h -1 mnure is negtive. It cn e seen tht with the incresing concentrtion of mngnese, the yield decreses. REFERENCES Alkn M. J. Trce nd Microproe Tech. 21, 3, 479 (2003). Blogh I. :Anl. Bionl. Chem. 377, 4, 709 (2003). Bisws P. J. Indin Chem. Soc. 80, 3, 195 (2003). Bultov M.,Klinkin I., A Prcticl Mnul of Photocolourimetric nd Spectrophotometric Methods of Anlysis, L., Chemistry (1972). Bergmnn W., Neuert P.: Pflnzendignose und Pflnzennlyse, Jen (1976). Heintze S.: Jour. Agr. Sci., 36 (1966). Kdoyshi H, Nkmori T, Ymguchi T, Fujit Y.: Chemistry Letters 33, 5, 610 (2004). Kostov D., Kmurov M.:Solvent extrction of mngnese(vii) with new nlyticl regent, Chemij, in press. Mokrev T., Murgov G., Scientific Works, Higher School of Agriculture, Plovdiv, 1988, XXIII, N 1, 135. Nurliev I., Yrovenko G.: The effect of molydenum nd mngnese on phosphor metolism nd the yield of cotton depending on the minerl nutrition, Agrochemistry, 11, 111 (1980). Nson A., Olderwurte H., Propst M. :Arch. Biochem. Biophys., 38 (1952). Nichols D.: Ann. Rev. Plnt Phisiol., 12 (1961). Pottuev J., et l.: Agrochemicl sustntition of the inclusion of phosphorus nd phosphorus contining fertilizers with ddition of mngnese in the micronutrients, Agrochemistry, 4, 95 (1990). Shkolnik M.: Trce elements in life of the plnts, Leningrd (1974). 821

12 Sndell E.: Colorimetric determintion of Trces of Metls, 3 rd Ed., Interscience, New York (1959). Shr G.:J. Chem. Soc. Pkistn, 25, 1, 28 (2003). Sidorovich E., Rupsov G., Zukov J., Igntenko V., Kuhrenik T.: Agrochemistry, 6, 72 (1987). Trfder P. Chem. Anl. 49, 2, 251 (2004). Udintsev E., Hodorovski J., Zulikov A.: Agrochemistry, 9, 119 (1981). Vzhenin I.: Methods for Determintion of Trce Elements in Soils, Plnts nd Wters, Kolos, Moscow (1974). Winkler W.:Anl. Bionl. Chem. 376, 6, 934 (2003). 822

AQA Chemistry Paper 2

AQA Chemistry Paper 2 AQA hemistry Pper 2 1.1 A student is plnning n investigtion into how the concentrtion of hydrochloric cid ffects the rte of the rection with mrle chips. Wht is the independent vrile? Tick one ox. (1 mrk)

More information

Which of the following describes the net ionic reaction for the hydrolysis. Which of the following salts will produce a solution with the highest ph?

Which of the following describes the net ionic reaction for the hydrolysis. Which of the following salts will produce a solution with the highest ph? 95. Which of the following descries the net ionic rection for the hydrolysis of NH4Cl( s)? A. NH4 ( q) Cl & ( q) NH4Cl( s) B. NH Cl & 4 ( s) NH4 ( q) Cl ( q) C. Cl ( q) H O & 2 ( l) HCl( q) OH ( q) D.

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

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

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

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

AMPERE CONGRESS AMPERE on Magnetic Resonance and Related Phenomena. Under the auspices of The GROUPEMENT AMPERE

AMPERE CONGRESS AMPERE on Magnetic Resonance and Related Phenomena. Under the auspices of The GROUPEMENT AMPERE AMPERE 2000 th 30 CONGRESS AMPERE on Mgnetic Resonnce nd Relted Phenomen Lison, Portugl, 23-2 July 2000 Under the uspices of The GROUPEMENT AMPERE Edited y: A.F. MARTINS, A.G. FEIO nd J.G. MOURA Sponsoring

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

Colorimetric detection and separation of chiral tyrosine. based on N-acetyl-L-cysteine modified gold. nanoparticles

Colorimetric detection and separation of chiral tyrosine. based on N-acetyl-L-cysteine modified gold. nanoparticles Colorimetric detection nd seprtion of chirl tyrosine sed on N-cetyl-L-cysteine modified gold nnoprticles Hiyn Su, Qiuling Zheng nd Hiing Li* Key Lortory of Pesticide nd Chemicl Biology (CCNU), Ministry

More information

p-adic Egyptian Fractions

p-adic Egyptian Fractions p-adic Egyptin Frctions Contents 1 Introduction 1 2 Trditionl Egyptin Frctions nd Greedy Algorithm 2 3 Set-up 3 4 p-greedy Algorithm 5 5 p-egyptin Trditionl 10 6 Conclusion 1 Introduction An Egyptin frction

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

temperature is known as ionic product of water. It is designated as K w. Value of K w

temperature is known as ionic product of water. It is designated as K w. Value of K w Ionic product of ter The product of concentrtions of H nd OH ions in ter t prticulr temperture is knon s ionic product of ter. It is designted s K. H O H 1 OH ; H 57.3 kjm The vlue of [H ][OH ] K ; K[HO]

More information

Supplementary Figure 1 Supplementary Figure 2

Supplementary Figure 1 Supplementary Figure 2 Supplementry Figure 1 Comprtive illustrtion of the steps required to decorte n oxide support AO with ctlyst prticles M through chemicl infiltrtion or in situ redox exsolution. () chemicl infiltrtion usully

More information

6. Photoionization of acridine through singlet and triplet channels

6. Photoionization of acridine through singlet and triplet channels Chpter 6: Photoioniztion of cridine through singlet nd triplet chnnels 59 6. Photoioniztion of cridine through singlet nd triplet chnnels Photoioinztion of cridine (Ac) in queous micelles hs not yet een

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

Strong acids and bases. Strong acids and bases. Systematic Treatment of Equilibrium & Monoprotic Acid-base Equilibrium.

Strong acids and bases. Strong acids and bases. Systematic Treatment of Equilibrium & Monoprotic Acid-base Equilibrium. Strong cids nd bses Systemtic Tretment of Equilibrium & Monoprotic cid-bse Equilibrium onc. (M) 0.0.00 -.00-5.00-8 p Strong cids nd bses onc. (M) p 0.0.0.00 -.0.00-5 5.0.00-8 8.0? We hve to consider utoprotolysis

More information

0.1 THE REAL NUMBER LINE AND ORDER

0.1 THE REAL NUMBER LINE AND ORDER 6000_000.qd //0 :6 AM Pge 0-0- CHAPTER 0 A Preclculus Review 0. THE REAL NUMBER LINE AND ORDER Represent, clssify, nd order rel numers. Use inequlities to represent sets of rel numers. Solve inequlities.

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

ANALYSIS OF FAST REACTORS SYSTEMS

ANALYSIS OF FAST REACTORS SYSTEMS ANALYSIS OF FAST REACTORS SYSTEMS M. Rghe 4/7/006 INTRODUCTION Fst rectors differ from therml rectors in severl spects nd require specil tretment. The prsitic cpture cross sections in the fuel, coolnt

More information

Acid-Base Equilibria

Acid-Base Equilibria Tdeusz Górecki Ionic Equiliri Acid-Bse Equiliri Brønsted-Lory: n cid is proton, se is. Acid Bse ( 3 PO 4, O), ( N 4 ) nd ( PO - 4 ) cn ll ehve s cids. Exmple: 4 N N3 Sustnces hich cn ehve oth s cids nd

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

Determination of Selenium(IV) Using o-phenylenediamine by Differential Pulse Polarography/Interference of Metal Ions

Determination of Selenium(IV) Using o-phenylenediamine by Differential Pulse Polarography/Interference of Metal Ions Turk J Chem 28 (2004), 299 309. c TÜBİTAK Determintion of Selenium(IV) Using o-phenylenedimine y Differentil Pulse Polrogrphy/Interference of Metl Ions Reci İNAM,Çiğdem TOPRAK Gzi University, Fculty of

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

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

Scientific notation is a way of expressing really big numbers or really small numbers.

Scientific notation is a way of expressing really big numbers or really small numbers. Scientific Nottion (Stndrd form) Scientific nottion is wy of expressing relly big numbers or relly smll numbers. It is most often used in scientific clcultions where the nlysis must be very precise. Scientific

More information

9-1 (a) A weak electrolyte only partially ionizes when dissolved in water. NaHCO 3 is an

9-1 (a) A weak electrolyte only partially ionizes when dissolved in water. NaHCO 3 is an Chpter 9 9- ( A ek electrolyte only prtilly ionizes hen dissolved in ter. NC is n exmple of ek electrolyte. (b A Brønsted-ory cid is cule tht dontes proton hen it encounters bse (proton cceptor. By this

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

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

332:221 Principles of Electrical Engineering I Fall Hourly Exam 2 November 6, 2006

332:221 Principles of Electrical Engineering I Fall Hourly Exam 2 November 6, 2006 2:221 Principles of Electricl Engineering I Fll 2006 Nme of the student nd ID numer: Hourly Exm 2 Novemer 6, 2006 This is closed-ook closed-notes exm. Do ll your work on these sheets. If more spce is required,

More information

1. a) Describe the principle characteristics and uses of the following types of PV cell: Single Crystal Silicon Poly Crystal Silicon

1. a) Describe the principle characteristics and uses of the following types of PV cell: Single Crystal Silicon Poly Crystal Silicon 2001 1. ) Describe the principle chrcteristics nd uses of the following types of PV cell: Single Crystl Silicon Poly Crystl Silicon Amorphous Silicon CIS/CIGS Gllium Arsenide Multijunction (12 mrks) b)

More information

ARITHMETIC OPERATIONS. The real numbers have the following properties: a b c ab ac

ARITHMETIC OPERATIONS. The real numbers have the following properties: a b c ab ac REVIEW OF ALGEBRA Here we review the bsic rules nd procedures of lgebr tht you need to know in order to be successful in clculus. ARITHMETIC OPERATIONS The rel numbers hve the following properties: b b

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

Hamiltonian Cycle in Complete Multipartite Graphs

Hamiltonian Cycle in Complete Multipartite Graphs Annls of Pure nd Applied Mthemtics Vol 13, No 2, 2017, 223-228 ISSN: 2279-087X (P), 2279-0888(online) Pulished on 18 April 2017 wwwreserchmthsciorg DOI: http://dxdoiorg/1022457/pmv13n28 Annls of Hmiltonin

More information

2.4 Linear Inequalities and Interval Notation

2.4 Linear Inequalities and Interval Notation .4 Liner Inequlities nd Intervl Nottion We wnt to solve equtions tht hve n inequlity symol insted of n equl sign. There re four inequlity symols tht we will look t: Less thn , Less thn or

More information

1B40 Practical Skills

1B40 Practical Skills B40 Prcticl Skills Comining uncertinties from severl quntities error propgtion We usully encounter situtions where the result of n experiment is given in terms of two (or more) quntities. We then need

More information

( ) where f ( x ) is a. AB Calculus Exam Review Sheet. A. Precalculus Type problems. Find the zeros of f ( x).

( ) where f ( x ) is a. AB Calculus Exam Review Sheet. A. Precalculus Type problems. Find the zeros of f ( x). AB Clculus Exm Review Sheet A. Preclculus Type prolems A1 Find the zeros of f ( x). This is wht you think of doing A2 A3 Find the intersection of f ( x) nd g( x). Show tht f ( x) is even. A4 Show tht f

More information

APPENDIX. Precalculus Review D.1. Real Numbers and the Real Number Line

APPENDIX. Precalculus Review D.1. Real Numbers and the Real Number Line APPENDIX D Preclculus Review APPENDIX D.1 Rel Numers n the Rel Numer Line Rel Numers n the Rel Numer Line Orer n Inequlities Asolute Vlue n Distnce Rel Numers n the Rel Numer Line Rel numers cn e represente

More information

u( t) + K 2 ( ) = 1 t > 0 Analyzing Damped Oscillations Problem (Meador, example 2-18, pp 44-48): Determine the equation of the following graph.

u( t) + K 2 ( ) = 1 t > 0 Analyzing Damped Oscillations Problem (Meador, example 2-18, pp 44-48): Determine the equation of the following graph. nlyzing Dmped Oscilltions Prolem (Medor, exmple 2-18, pp 44-48): Determine the eqution of the following grph. The eqution is ssumed to e of the following form f ( t) = K 1 u( t) + K 2 e!"t sin (#t + $

More information

( ) Same as above but m = f x = f x - symmetric to y-axis. find where f ( x) Relative: Find where f ( x) x a + lim exists ( lim f exists.

( ) Same as above but m = f x = f x - symmetric to y-axis. find where f ( x) Relative: Find where f ( x) x a + lim exists ( lim f exists. AP Clculus Finl Review Sheet solutions When you see the words This is wht you think of doing Find the zeros Set function =, fctor or use qudrtic eqution if qudrtic, grph to find zeros on clcultor Find

More information

Physics 1402: Lecture 7 Today s Agenda

Physics 1402: Lecture 7 Today s Agenda 1 Physics 1402: Lecture 7 Tody s gend nnouncements: Lectures posted on: www.phys.uconn.edu/~rcote/ HW ssignments, solutions etc. Homework #2: On Msterphysics tody: due Fridy Go to msteringphysics.com Ls:

More information

KINEMATICS OF RIGID BODIES

KINEMATICS OF RIGID BODIES KINEMTICS OF RIGID ODIES Introduction In rigid body kinemtics, e use the reltionships governing the displcement, velocity nd ccelertion, but must lso ccount for the rottionl motion of the body. Description

More information

I1 = I2 I1 = I2 + I3 I1 + I2 = I3 + I4 I 3

I1 = I2 I1 = I2 + I3 I1 + I2 = I3 + I4 I 3 2 The Prllel Circuit Electric Circuits: Figure 2- elow show ttery nd multiple resistors rrnged in prllel. Ech resistor receives portion of the current from the ttery sed on its resistnce. The split is

More information

Lecture 2: January 27

Lecture 2: January 27 CS 684: Algorithmic Gme Theory Spring 217 Lecturer: Év Trdos Lecture 2: Jnury 27 Scrie: Alert Julius Liu 2.1 Logistics Scrie notes must e sumitted within 24 hours of the corresponding lecture for full

More information

Energy (kcal mol -1 ) Force (kcal mol -1 Å -1 ) Pore axis (Å) Mixed Mo-only S-only Graphene

Energy (kcal mol -1 ) Force (kcal mol -1 Å -1 ) Pore axis (Å) Mixed Mo-only S-only Graphene Force (kcl mol -1 Å -1 ) Energy (kcl mol -1 ) 3 1-1 - -3 Mixed Mo-only S-only Grphene 6 5 3 1 Mixed Mo-only S-only Grphene - -1-1 1 Pore xis (Å) -1 1 Pore xis (Å) Supplementry Figure 1 Energy Brriers.

More information

dy ky, dt where proportionality constant k may be positive or negative

dy ky, dt where proportionality constant k may be positive or negative Section 1.2 Autonomous DEs of the form 0 The DE y is mthemticl model for wide vriety of pplictions. Some of the pplictions re descried y sying the rte of chnge of y(t) is proportionl to the mount present.

More information

Hydronium or hydroxide ions can also be produced by a reaction of certain substances with water:

Hydronium or hydroxide ions can also be produced by a reaction of certain substances with water: Chpter 14 1 ACIDS/BASES Acids hve tste, rect with most metls to produce, rect with most crbontes to produce, turn litmus nd phenolphthlein. Bses hve tste rect very well well with most metls or crbontes,

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

Chapter 9 Definite Integrals

Chapter 9 Definite Integrals Chpter 9 Definite Integrls In the previous chpter we found how to tke n ntiderivtive nd investigted the indefinite integrl. In this chpter the connection etween ntiderivtives nd definite integrls is estlished

More information

AB Calculus Review Sheet

AB Calculus Review Sheet AB Clculus Review Sheet Legend: A Preclculus, B Limits, C Differentil Clculus, D Applictions of Differentil Clculus, E Integrl Clculus, F Applictions of Integrl Clculus, G Prticle Motion nd Rtes This is

More information

1 Which of the following summarises the change in wave characteristics on going from infra-red to ultraviolet in the electromagnetic spectrum?

1 Which of the following summarises the change in wave characteristics on going from infra-red to ultraviolet in the electromagnetic spectrum? Which of the following summrises the chnge in wve chrcteristics on going from infr-red to ultrviolet in the electromgnetic spectrum? frequency speed (in vcuum) decreses decreses decreses remins constnt

More information

Modelling of chemical vapour deposition of carbon based on detailed surface chemistry

Modelling of chemical vapour deposition of carbon based on detailed surface chemistry Modelling of chemicl vpour deposition of cron sed on detiled surfce chemistry Aijun Li *, Koyo Noring, Günter Schoch, Sven Lichtenerg, Olf Deutschmnn Institut für Technische Chemie und Polymerchemie, Universität

More information

PHYS Summer Professor Caillault Homework Solutions. Chapter 2

PHYS Summer Professor Caillault Homework Solutions. Chapter 2 PHYS 1111 - Summer 2007 - Professor Cillult Homework Solutions Chpter 2 5. Picture the Problem: The runner moves long the ovl trck. Strtegy: The distnce is the totl length of trvel, nd the displcement

More information

Supplementary Information

Supplementary Information Supplementry Informtion Spontneously mplified homochirl orgnic-inorgnic nno-helix complex vi self-prolifertion Hlei Zhi, Yn Qun, Li Li, Xing-Yng Liu, Xurong Xu c nd Ruikng Tng*,c Centre for Biomterils

More information

CHEMISTRY 3.5 Paper 1. Describe the structure and reactions of organic compounds containing selected organic groups

CHEMISTRY 3.5 Paper 1. Describe the structure and reactions of organic compounds containing selected organic groups CHEMISTRY 3.5 Pper 1 Describe the structure nd rections of orgnic compounds contining selected orgnic groups Credits: Five INSTRUCTIONS Answer ALL questions NZQA/Person Eduction 2006 - 2 - You re dvised

More information

Advanced Algebra & Trigonometry Midterm Review Packet

Advanced Algebra & Trigonometry Midterm Review Packet Nme Dte Advnced Alger & Trigonometry Midterm Review Pcket The Advnced Alger & Trigonometry midterm em will test your generl knowledge of the mteril we hve covered since the eginning of the school yer.

More information

This chapter will show you. What you should already know. 1 Write down the value of each of the following. a 5 2

This chapter will show you. What you should already know. 1 Write down the value of each of the following. a 5 2 1 Direct vrition 2 Inverse vrition This chpter will show you how to solve prolems where two vriles re connected y reltionship tht vries in direct or inverse proportion Direct proportion Inverse proportion

More information

Fully Kinetic Simulations of Ion Beam Neutralization

Fully Kinetic Simulations of Ion Beam Neutralization Fully Kinetic Simultions of Ion Bem Neutrliztion Joseph Wng University of Southern Cliforni Hideyuki Usui Kyoto University E-mil: josephjw@usc.edu; usui@rish.kyoto-u.c.jp 1. Introduction Ion em emission/neutrliztion

More information

Math 8 Winter 2015 Applications of Integration

Math 8 Winter 2015 Applications of Integration Mth 8 Winter 205 Applictions of Integrtion Here re few importnt pplictions of integrtion. The pplictions you my see on n exm in this course include only the Net Chnge Theorem (which is relly just the Fundmentl

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

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

Bend Forms of Circular Saws and Evaluation of their Mechanical Properties

Bend Forms of Circular Saws and Evaluation of their Mechanical Properties ISSN 139 13 MATERIALS SCIENCE (MEDŽIAGOTYRA). Vol. 11, No. 1. 5 Bend Forms of Circulr s nd Evlution of their Mechnicl Properties Kristin UKVALBERGIENĖ, Jons VOBOLIS Deprtment of Mechnicl Wood Technology,

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

A Brief Note on Quasi Static Thermal Stresses In A Thin Rectangular Plate With Internal Heat Generation

A Brief Note on Quasi Static Thermal Stresses In A Thin Rectangular Plate With Internal Heat Generation Americn Journl of Engineering Reserch (AJER) 13 Americn Journl of Engineering Reserch (AJER) e-issn : 3-847 p-issn : 3-936 Volume-, Issue-1, pp-388-393 www.jer.org Reserch Pper Open Access A Brief Note

More information

Find this material useful? You can help our team to keep this site up and bring you even more content consider donating via the link on our site.

Find this material useful? You can help our team to keep this site up and bring you even more content consider donating via the link on our site. Find this mteril useful? You cn help our tem to keep this site up nd bring you even more content consider donting vi the link on our site. Still hving trouble understnding the mteril? Check out our Tutoring

More information

CAPACITORS AND DIELECTRICS

CAPACITORS AND DIELECTRICS Importnt Definitions nd Units Cpcitnce: CAPACITORS AND DIELECTRICS The property of system of electricl conductors nd insultors which enbles it to store electric chrge when potentil difference exists between

More information

Designing Information Devices and Systems I Spring 2018 Homework 7

Designing Information Devices and Systems I Spring 2018 Homework 7 EECS 16A Designing Informtion Devices nd Systems I Spring 2018 omework 7 This homework is due Mrch 12, 2018, t 23:59. Self-grdes re due Mrch 15, 2018, t 23:59. Sumission Formt Your homework sumission should

More information

BOND ORDER (BO): Single bond Þ BO = 1; Double bond Þ BO = 2; Triple bond Þ BO = 3 Bond Order Þ bond strength and bond length

BOND ORDER (BO): Single bond Þ BO = 1; Double bond Þ BO = 2; Triple bond Þ BO = 3 Bond Order Þ bond strength and bond length EMISTRY 104 elp Sheet #1 hem 103 Review (Text: h 6, h 7) Do topics pproprite for your lecture Prepred y Dr. Tony Jco http://www.chem.wisc.edu/res/clc (Resource pge) Nuggets: Electronegtivity (6.7), Bond

More information

DIRECT CURRENT CIRCUITS

DIRECT CURRENT CIRCUITS DRECT CURRENT CUTS ELECTRC POWER Consider the circuit shown in the Figure where bttery is connected to resistor R. A positive chrge dq will gin potentil energy s it moves from point to point b through

More information

The 1 th International and The 4 th National Congress on Recycling of Organic Waste in Agriculture April 2012 in Isfahan, Iran

The 1 th International and The 4 th National Congress on Recycling of Organic Waste in Agriculture April 2012 in Isfahan, Iran The 1 th Interntionl nd The 4 th Ntionl Congress on The Effect of Prticle Size nd Composting Period on (C/N) Rtio of Dte- Plm Wste Min Mortzvi 1, Ahmd Mohmmdi Ghehsreh 2 nd Mhmoud Klsi 3 1. M.Sc. Student,

More information

Cu 3 (PO 4 ) 2 (s) 3 Cu 2+ (aq) + 2 PO 4 3- (aq) circle answer: pure water or Na 3 PO 4 solution This is the common-ion effect.

Cu 3 (PO 4 ) 2 (s) 3 Cu 2+ (aq) + 2 PO 4 3- (aq) circle answer: pure water or Na 3 PO 4 solution This is the common-ion effect. CHEM 1122011 NAME: ANSWER KEY Vining, Exm # SHORT ANSWER QUESTIONS ============= 4 points ech ============ All work must be shown. 1. Wht re [H O ] nd [OH ] for solution tht hs ph of 9.0? Choose one. ()

More information

THE RELATIONSHIP BETWEEN PHOSPHATE ABSORPTION AND OXYGEN UPTAKE IN EXCISED BEECH MYCORRHIZAS

THE RELATIONSHIP BETWEEN PHOSPHATE ABSORPTION AND OXYGEN UPTAKE IN EXCISED BEECH MYCORRHIZAS New Phytol. (\98\)S8, 67-68\ 67 THE RELATIONSHIP BETWEEN PHOSPHATE ABSORPTION AND OXYGEN UPTAKE IN EXCISED BEECH MYCORRHIZAS BY J. L. HARLEY AND C. C. MCCREADY Deprtments of Forestry nd Botny, South Prks

More information

anti-addition acidic conditions S N basic conditions CH 18: Ethers and Epoxides

anti-addition acidic conditions S N basic conditions CH 18: Ethers and Epoxides rgnic Chemistry Notes y Jim Mxk C 18: Ethers nd Epoxides jim.mxk@nu.edu Topics: Nming ethers nd understnding ethers inertness Prepring ethers vi Willimson ether synthesis: S N 2 vs E 2 ection of ethers

More information

Dr. Steward s CHM152 Exam #2 Review Spring 2014 (Ch ) KEY

Dr. Steward s CHM152 Exam #2 Review Spring 2014 (Ch ) KEY Dr. Stewrd s CHM152 Em #2 Review Spring 2014 (Ch. 16. 17) KEY 1. Eplin the commonion effect. Wek cid or wek bse s % dissocition will decrese if they re plced in solutions with one of the products of dissocition.

More information

Spectrophotometric Methods Based on Charge Transfer Complexation Reactions for the Determination of Saxagliptin in Bulk and Pharmaceutical Preparation

Spectrophotometric Methods Based on Charge Transfer Complexation Reactions for the Determination of Saxagliptin in Bulk and Pharmaceutical Preparation Interntionl journl of Biomedicl science ORIGINAL ARTICLE Spectrophotometric Methods Bsed on Chrge Trnsfer Complextion Rections for the Determintion of Sxgliptin in Bulk nd Phrmceuticl Preprtion Rmzi I.

More information

The role of ammonia in plant physiology

The role of ammonia in plant physiology The role of mmoni in plnt physiology Ineke Stulen, An Cstro, nd Luit J. De Kok Lortory of Plnt Physiology University of Groningen The Netherlnds N is essentil mino cids nd proteins N uptke nd ssimiltion

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

Reading from Young & Freedman: For this topic, read the introduction to chapter 24 and sections 24.1 to 24.5.

Reading from Young & Freedman: For this topic, read the introduction to chapter 24 and sections 24.1 to 24.5. PHY1 Electricity Topic 5 (Lectures 7 & 8) pcitors nd Dielectrics In this topic, we will cover: 1) pcitors nd pcitnce ) omintions of pcitors Series nd Prllel 3) The energy stored in cpcitor 4) Dielectrics

More information

MODELLING OF MAGNESIUM OXIDE APPLICATION FOR STRUVITE PRECIPITATION

MODELLING OF MAGNESIUM OXIDE APPLICATION FOR STRUVITE PRECIPITATION MDELLING F MAGNESIUM XIDE APPLIATIN FR STRUVITE PREIPITATIN J. Mzierski * nd S. Połwski ** * Polish Acdemy of Science, Institute of Environmentl Engineering, ul. M. Skłodowskiej-urie, -89 Zbrze, Polnd

More information

Thomas Whitham Sixth Form

Thomas Whitham Sixth Form Thoms Whithm Sith Form Pure Mthemtics Unit C Alger Trigonometry Geometry Clculus Vectors Trigonometry Compound ngle formule sin sin cos cos Pge A B sin Acos B cos Asin B A B sin Acos B cos Asin B A B cos

More information

a * a (2,1) 1,1 0,1 1,1 2,1 hkl 1,0 1,0 2,0 O 2,1 0,1 1,1 0,2 1,2 2,2

a * a (2,1) 1,1 0,1 1,1 2,1 hkl 1,0 1,0 2,0 O 2,1 0,1 1,1 0,2 1,2 2,2 18 34.3 The Reciprocl Lttice The inverse of the intersections of plne with the unit cell xes is used to find the Miller indices of the plne. The inverse of the d-spcing etween plnes ppers in expressions

More information

Section 5.1 #7, 10, 16, 21, 25; Section 5.2 #8, 9, 15, 20, 27, 30; Section 5.3 #4, 6, 9, 13, 16, 28, 31; Section 5.4 #7, 18, 21, 23, 25, 29, 40

Section 5.1 #7, 10, 16, 21, 25; Section 5.2 #8, 9, 15, 20, 27, 30; Section 5.3 #4, 6, 9, 13, 16, 28, 31; Section 5.4 #7, 18, 21, 23, 25, 29, 40 Mth B Prof. Audrey Terrs HW # Solutions by Alex Eustis Due Tuesdy, Oct. 9 Section 5. #7,, 6,, 5; Section 5. #8, 9, 5,, 7, 3; Section 5.3 #4, 6, 9, 3, 6, 8, 3; Section 5.4 #7, 8,, 3, 5, 9, 4 5..7 Since

More information

FORM FIVE ADDITIONAL MATHEMATIC NOTE. ar 3 = (1) ar 5 = = (2) (2) (1) a = T 8 = 81

FORM FIVE ADDITIONAL MATHEMATIC NOTE. ar 3 = (1) ar 5 = = (2) (2) (1) a = T 8 = 81 FORM FIVE ADDITIONAL MATHEMATIC NOTE CHAPTER : PROGRESSION Arithmetic Progression T n = + (n ) d S n = n [ + (n )d] = n [ + Tn ] S = T = T = S S Emple : The th term of n A.P. is 86 nd the sum of the first

More information

XX-th ARS SEPARATORIA Szklarska Poręba, Poland 2005

XX-th ARS SEPARATORIA Szklarska Poręba, Poland 2005 XX-th ARS SEPARATORIA Szklrsk Porę, Polnd 25 DIALYSIS OF METAL IONS THROUGH ULTRAFILTRATION POLYSULFONE MEMBRANES ENHANCED BY POLY(ACRYLIC ACID) Gryzeld POŹNIAK Wroclw University of Technology, Deprtment

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

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

Summary Information and Formulae MTH109 College Algebra

Summary Information and Formulae MTH109 College Algebra Generl Formuls Summry Informtion nd Formule MTH109 College Algebr Temperture: F = 9 5 C + 32 nd C = 5 ( 9 F 32 ) F = degrees Fhrenheit C = degrees Celsius Simple Interest: I = Pr t I = Interest erned (chrged)

More information

MASKING OF FERROMAGNETIC ELLIPTICAL SHELL IN TRANSVERSE MAGNETIC FIELD

MASKING OF FERROMAGNETIC ELLIPTICAL SHELL IN TRANSVERSE MAGNETIC FIELD POZNAN UNVE RSTY OF TE HNOLOGY AADE M JOURNALS No 7 Electricl Engineering Kzimierz JAKUUK* Mirosł WOŁOSZYN* Peł ZMNY* MASKNG OF FERROMAGNET ELLPTAL SHELL N TRANSVERSE MAGNET FELD A ferromgnetic oject,

More information

Farey Fractions. Rickard Fernström. U.U.D.M. Project Report 2017:24. Department of Mathematics Uppsala University

Farey Fractions. Rickard Fernström. U.U.D.M. Project Report 2017:24. Department of Mathematics Uppsala University U.U.D.M. Project Report 07:4 Frey Frctions Rickrd Fernström Exmensrete i mtemtik, 5 hp Hledre: Andres Strömergsson Exmintor: Jörgen Östensson Juni 07 Deprtment of Mthemtics Uppsl University Frey Frctions

More information

Reducing Nonpoint Source Pollution through Effective Ditch Management

Reducing Nonpoint Source Pollution through Effective Ditch Management Reducing Nonpoint Source Pollution through Effective Ditch Mngement Meliss Huert DNREC Division of Wtershed Stewrdship Dringe Progrm University of Delwre Artificil Dringe in Delwre Engineered system to

More information

Name Class Date. Match each phrase with the correct term or terms. Terms may be used more than once.

Name Class Date. Match each phrase with the correct term or terms. Terms may be used more than once. Exercises 341 Flow of Chrge (pge 681) potentil difference 1 Chrge flows when there is between the ends of conductor 2 Explin wht would hppen if Vn de Grff genertor chrged to high potentil ws connected

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

Discrete Mathematics and Probability Theory Spring 2013 Anant Sahai Lecture 17

Discrete Mathematics and Probability Theory Spring 2013 Anant Sahai Lecture 17 EECS 70 Discrete Mthemtics nd Proility Theory Spring 2013 Annt Shi Lecture 17 I.I.D. Rndom Vriles Estimting the is of coin Question: We wnt to estimte the proportion p of Democrts in the US popultion,

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

Analytically, vectors will be represented by lowercase bold-face Latin letters, e.g. a, r, q.

Analytically, vectors will be represented by lowercase bold-face Latin letters, e.g. a, r, q. 1.1 Vector Alger 1.1.1 Sclrs A physicl quntity which is completely descried y single rel numer is clled sclr. Physiclly, it is something which hs mgnitude, nd is completely descried y this mgnitude. Exmples

More information

TOPPER SAMPLE PAPER - 5 CLASS XI MATHEMATICS. Questions. Time Allowed : 3 Hrs Maximum Marks: 100

TOPPER SAMPLE PAPER - 5 CLASS XI MATHEMATICS. Questions. Time Allowed : 3 Hrs Maximum Marks: 100 TOPPER SAMPLE PAPER - 5 CLASS XI MATHEMATICS Questions Time Allowed : 3 Hrs Mximum Mrks: 100 1. All questions re compulsory.. The question pper consist of 9 questions divided into three sections A, B nd

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

Summary of equations chapters 7. To make current flow you have to push on the charges. For most materials:

Summary of equations chapters 7. To make current flow you have to push on the charges. For most materials: Summry of equtions chpters 7. To mke current flow you hve to push on the chrges. For most mterils: J E E [] The resistivity is prmeter tht vries more thn 4 orders of mgnitude between silver (.6E-8 Ohm.m)

More information

Physics 2135 Exam 1 February 14, 2017

Physics 2135 Exam 1 February 14, 2017 Exm Totl / 200 Physics 215 Exm 1 Ferury 14, 2017 Printed Nme: Rec. Sec. Letter: Five multiple choice questions, 8 points ech. Choose the est or most nerly correct nswer. 1. Two chrges 1 nd 2 re seprted

More information

Rates of chemical reactions

Rates of chemical reactions Rtes of chemicl rections Mesuring rtes of chemicl rections Experimentl mesuring progress of the rection Monitoring pressure in the rection involving gses 2 NO( g) 4 NO ( g) + O ( g) 2 5 2 2 n(1 α) 2αn

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