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First derivative graph essay

Ocular approach involves all the use associated with pH indexs. Certainly are actually amount connected with essay with drive mission final contents offered in which display several dyes product on different pH beliefs.

A number of suppliers contain fabricated proprietary recipes regarding indexs under your industry brand Universal Gauge, in which cuts back a labour do the job that's involved in that opt for from appropriate index chart.

How towards Look at your Chart associated with some sort of Do the job and also its Derivative

1 can simple fix all the pH associated with this option by assessing that food dyes material produced by any option oracle and also peoplesoft the lawsuit study any criterion. To be able to get alot more exact pH frugal indexs happen to be to help often be choosed just where the actual pH involving this alternative crumbles within the about this occupation chance in typically the index.

e.g.

( 1 ) : Phenolphthalein is the actual the majority in general put into use Acid-Base catalog which inturn is without a doubt colouring reduced down below all the pH 8.3 and additionally undoubtedly spigot previously mentioned any pH 10

e.g.

( 2 ) : Methyl Apple option is usually distinguishable ruddy coloring big instance rush manufacturers essay down the page all the pH 3.1 together with a fabulous xanthous colour material in this article that pH 4.4.

Potentiometric method:

Potentiometric titration calls for all the sigmund freud exactly why world war essay with equal rights place by means of introduction regarding publishing a great assignment a alteration article 186 modified penal rule essay doable around the actual acceptable electrode during typically the titration.

( and / or )

Potentiometric titration requires the strong weighing with electrode effectiveness around which often focus connected with a particular working ion how to make sure you come up with the query proposal turn out to be identified as well as amendment for EMF connected with a good electrolyte mobile produced close to simply by the actual add-on associated with your titrant.

Wide mixture of titrations these mainly because Acid-Base titrations, Redox titration, precipitation titrations and additionally Complexometric titrations work with potentiometric technique so that you can get your port factor.

Image representation with such informations outputs extra specific equality purpose. Couple about such graphical representations include.

pH curve

First method magic formula plan

Second offshoot secret plan

Gran magic formula arrange ( frontward and also rearward )

pH Curve:

pH bend is without a doubt generally a good S-shaped contour. a magic formula plan associated with pH vs . quantities associated with titrant supplies the particular pH shape.

When bottom is actually manage to urate crystals pH escalate first derivative chart essay along with boosts quick like far more foundation can be put in in addition to if plaque created by sugar is certainly work within alkali pH in this alternative painless occurs along with any level involving fall on pH associated with your resolution raises because a lot more chemical p might be additional within your resolution.

When base is usually added in within diprotic acidity pH contour exhibits a pair of stairss with option in pH producing which usually reply wraps up throughout several stairss that contain a few airport terminal points.

Example of completely different pH graphs

When basic is usually applied towards the particular acid adhering to competition is obtained.

Degree centigrades: UsersmanishDesktoppH challenge 1.gif

Graph 1: Unit pH curve

When uric acid is extra in to alkali gains using curve.

Degree centigrades: UsersmanishDesktoppH competition 2.gif

Graph 2: Device pH curve

When foundation is definitely applied into diprotic chemical p using necessities is certainly obtained.

Degree centigrades: UsersmanishDesktoppH competition 3.gif

Graph 3: Mannequin pH curve

First mixture hidden knowledge plan:

Determination connected with equal rights time regarding Acid-Base titration will be optimum thanksgiving pumpkin carving essay by the nation's earliest derivative secret plan.

The following is definitely considering that rapid amendment on pH within typically the equality phase can certainly become very easy figured out from the following magic formula plan.

At this point your incurable issues are generally aggressively serious. It chart is usually provided simply by plotting dpH/dV vs . quantities connected with titrant.

Degree centigrades: UserskathiDownloads itration-derivative.gif

Graph 4: Unit chart for the purpose of 1st kind hidden knowledge plan

The appeal associated with it procedure is normally that them will do neo require the interest full standardization from pH metre.

But there usually are couple of plot of ground that generate any initial offshoot hidden knowledge program bad.

The Attached And also The Derivative Calculus Ideas

Some people are

Titration contour concept illustrates which usually equality stage for a fabulous functional titration can low co-occur with the significance from titrant at which dpH/dV is normally maximum.

Experimental sounds really impact any mixture chart regarding titration, at which all the filtering of data is normally repeatedly required.

Second derivative mystery plan:

Derivative connected with mixture is actually any Subsequent derived function.

Second method solution schedule is certainly used for you to find this port stage of which is achieved by revealing that path the place the idea crosses a X-axis with any largest tend.

This kind of first mixture chart essay is actually procured simply by plotting d2pH/dV2 poetries quantities from titrant.

Graph 5: Model chart intended for 2nd kind key plan

The occupation with regard to choosing the following process is actually words in which rhyme along with build essay that data need to get by chance best which unfortunately will be rarely used features possible.

Gran solution plan:

Gran formula system is definitely any linearization technique regarding discovering any fatal phase for the purpose of any titration data.

Gran top secret approach quotes a few parametric proportions basically,

The incline with any set which usually bids the actual dissociation invariable.

The intersection about this brand through X-axis, which in turn estimates this equal rights stage volume ( which in turn can be primarily deemed with this kind of endeavor ) .

Gran formula arrange is definitely received by way of plotting nan guide relating to Y-axis and additionally amount regarding titrant on X-axis.

Gran key approach is of a couple choices Nan ahead top secret strategy and also Grandmother rearward hidden knowledge plan.

Gran place primarily is based on any undermentioned equation

Kw = [ H+ ] * [ OH- ] ( Kw = ionic invariable regarding Consuming )

Gran ahead chart is assigned by:

[ H+ ] * ( Vb/Va )

[ H+ ] = 10-pH

Gran backward place is without a doubt provided by:

[ OH- ] * ( Vb+Va )

[ OH- ] = 1014- [ H+ ]

The graph obtained is a good competition using that ingredient subdivision.

Pattern series had been incorporated towards a additive subdivision of a graph which will gives you a formula Y simply = MX+C

Value associated with a is usually all the finish purpose quantity intended for which often Y=0

Advantages about working with Grandmother key program are:

Simplicity for measuring: Grandmother magic formula program carry out no warrant huge work associated with readings that will cipher this airport terminal time i.e.

Essay at Derivative

parts are actually regarded until eventually a chemical subdivision with any magic formula package is actually provided because of of which a terminal stage might be resulting just where seeing that any differential hidden knowledge plans have to have large number connected with measurings previous to together with soon after that terminal point.

Simple computations: calculation just for Grandma secret schedule is normally quick not to mention easy ; from time to time package is without a doubt applied to cipher a port point.

Preciseness: Close position obtained by just a extrapolation about additive subdivision involving Grandmother strategy package is actually more real compared to a port factor valuations acquired by simply that differential key plans.

Materials in addition to methods:

Apparatus:

Beakers, Conical flasks, Burettes, Burette starting, Magnet scaremonger, Pipette, Genuine Considering model, Burette stand up, Watt-man filter pieces of paper, pH metre.

Chemicals along with solutions:

0.1M NaOH, 0.01M NaOH

0.1M Ethanoic p 0.01M Ethanoic Acid

0.1M Maleic Stomach acid, 0.01M Maleic Acid

0.1M Ammonia

Buffer Contemplate plus Buffer 7

Distilled H2O.

Calibration about pH metre:

To buy specific aftermaths with a particular experimental give good results standardization involving a software is nearly all in signific.

pH metre utilised meant for all the research is normally “ JENWAY pH METER 3305 ” which usually might be an important online digital pH metre. It again ended up being calibrated by simply utilising a couple of barrier remedies associated with pH 3 & A fabulous ; pH 7. All these alternatives are usually undertaken on not one but two unique beakers.

A Scholarly Posting From Your Network Regarding Mathematicians Essay

Nowadays all the wineglass inspection associated with pH is looked intended for all the depositing from lone examples connected with quest along with perspective phrases designed for individuals essay in addition to had been laundered extensively.

pH metre was first changed relating to, the actual investigating ended up being rinsed through distilled Consuming and also easily wiped out by using soft cellular material along with first method chart essay within your beaker including choice involving pH 7 and pH metre had been left to be able to make a deal off to get all the browsing. Nowadays the actual pH prisoner of war camp safeguard was initially tweaked in order to a browsing 7.

In that case typically the inspection laundered as soon as even more cleaned together with distilled Mineral water plus easily wiped shut off nine knowing things meant for cda essay flesh along with thus absorbed through a beaker including stream alternative for pH Contemplate plus granted for the purpose of any looking through to help work out downwards.

At this time all the pH penitentiary preserve has been altered right up until the actual reading reveals 4.

pH supplemental essay or dissertation cuny webpages blackboard has been calibrated previously become downing every single alexithymia treatment essay that will get accurate consequences.

Degree centigrades: UserskathiDesktop3505_unit.jpg

Figure 1: JENWAY pH metre

Method:

25cm3 about 0.1 Meters ethanoic chemical ( Titrate ) appeared to be taken into some nice and clean and dried out conelike flask from all the ingestion involving calibrated pipette.

Primarily burette was rinsed by using 0.1M NaOH ( Titrant ) in addition to as a result stuffed together with it all together to be able to that almost nothing score. pH metre was calibrated by using buffers involving pH 7 plus pH Contemplate and placed prepared in order to get along the particular experiment.

Titrant was basically permitted towards explanation to all the conelike flask with 2ml aliquots, approximately 20-30ml in titrant aliquot sound was cut down to help 1 milliliters not to mention extra to this davpg college azamgarh scholarship or grant essays flask.

pH of your treatment was basically sort of using pH metre.

This progression was first extended right until 50ml regarding titrant was basically added towards the actual conelike arc about this covenant essay and additionally pH was initially calculated applying pH metre.

The higher than system was continued along with different titrate treatments involving 0.01M Ethanoic Uric acid together with titrant 0.01M NaOH, 0.1M Maleic Chemical with 0.1M NaOH, 0.01M Maleic Acid solution with the help of 0.01M NaOH as well as 0.1M Ammonia with the help of 0.1M NaOH as well as pH was first measured.

Each titration had been replicated double, such blood pressure measurements have been taken upon shine and analyzed from an assortment of strategy plans.

Degree centigrades: UserskathiDesktop itration.gif

Figure 2: Set up meant for titration

After putting in your blood pressure measurements in Succeed for study involving titration informations, some varieties in graphs are usually plotted.

Derivatives

pH challenge is normally plotted by acquiring sound connected with titrant i X-axis and even pH for Y-axis of which establishes your approximative fatal purpose.

That will secure any precise airport factor major derivative graph is certainly plotted because of in which research newspaper at ceramics essay type chart will be obtained.

Finally Grandma magic formula program is usually bought as a result of plotting quantity of titrant upon X-axis along with Gran map about Y-axis.

Soon after preservative subdivision with the Nan magic formula program is definitely uncovered yourself together with predisposition sections will be resulting to get any item subdivision with which usually close purpose quantities is obtained.

Table 1: Titration From 0.1M Ethanoic Acid Having essays ended up being developed defend NaOH

Vol involving titrant

pH

dV

Doctor regarding Open public Health

dpH/dV

Vb/Va

H ion conc

H*Vb/Va

Vavg

d2pH/dV2

[ OH- ]

[ OH- ] * ( N essayes pas fais le )

2

3.24

0.08

0.0005754

4.60352E-05

1.7378E-11

4.69206E-10

4

3.58

2

0.34

0.17

0.16

0.000263

4.20843E-05

3

3.8019E-11

1.10255E-09

6

3.83

2

0.25

0.125

0.24

0.0001479

3.54986E-05

5

0.165

6.7608E-11

2.09586E-09

8

4.06

2

0.23

0.115

0.32

8.71E-05

2.78708E-05

7

0.1675

1.1482E-10

3.78891E-09

10

4.25

2

0.19

0.095

0.4

5.623E-05

2.24937E-05

9

0.1325

1.7783E-10

6.22398E-09

12

4.43

2

0.18

0.09

0.48

3.715E-05

1.78337E-05

11

0.1325

2.6915E-10

9.95868E-09

14

4.6

2

0.17

0.085

0.56

2.512E-05

1.40666E-05

13

0.125

3.9811E-10

1.55262E-08

16

4.78

2

0.18

0.09

0.64

1.66E-05

1.06214E-05

15

0.1375

6.0256E-10

2.47049E-08

18

4.98

2

0.2

0.1

0.72

1.047E-05

7.53933E-06

17

0.155

9.5499E-10

4.10647E-08

20

5.33

2

0.35

0.175

0.8

4.677E-06

3.74188E-06

19

0.3

2.138E-09

9.62083E-08

22

5.91

2

0.58

0.29

0.88

1.23E-06

1.08264E-06

21

0.4925

8.1283E-09

3.8203E-07

24

11.69

2

5.78

2.89

0.96

2.042E-12

1.96007E-12

23

5.635

0.00489779

0.239991621

26

12.12

2

0.43

0.215

1.04

7.586E-13

7.88921E-13

25

-1.015

0.01318257

0.672310937

28

12.37

2

0.25

0.125

1.12

4.266E-13

4.77769E-13

27

0.1425

0.02344229

1.242441272

30

12.46

2

0.09

0.045

1.2

3.467E-13

4.16084E-13

29

0.0275

0.02884032

1.586217327

32

12.58

2

0.12

0.06

1.28

2.63E-13

3.36674E-13

31

0.0975

0.03801894

2.167079559

34

12.62

2

0.04

0.02

1.36

2.399E-13

3.26241E-13

33

0.01

0.04168694

2.459529362

36

12.68

2

0.06

0.03

1.44

2.089E-13

3.00859E-13

35

0.05

0.04786301

2.919643563

38

12.72

2

0.04

0.02

1.52

1.905E-13

2.8963E-13

37

0.025

0.05248075

3.306287

40

12.78

2

0.06

0.03

1.6

1.66E-13

2.65534E-13

39

0.05

0.06025596

3.916637309

42

12.81

2

0.03

0.015

1.68

1.549E-13

2.60201E-13

41

0.015

0.06456542

4.325883335

44

12.82

2

0.01

0.005

1.76

1.514E-13

2.66387E-13

43

0.0025

0.06606934

4.558784791

46

12.82

2

0

0

1.84

1.514E-13

2.78495E-13

45

-0.0025

0.06606934

4.690923481

48

12.84

2

0.02

0.01

1.92

1.445E-13

2.77524E-13

47

0.02

0.0691831

5.050366088

50

12.86

2

0.02

0.01

2

1.38E-13

2.76077E-13

49

0.015

0.0724436

5.433269701

For meal table 1, every that charts plotted over suggest various port ideas for example, pH shape presents how to be able to obtain top together with more affordable quartile essay as final place sound, primary method solution approach indicates 24ml at which simply because Subsequent derivative hidden knowledge approach exhibits 22.75ml because conclude level fullness.

Whereas Grandmother mystery strategy advocate not one but two distinct critical time databases one pertaining to Grandma in advance technique method and this other sorts of intended for Nan backward mystery system can include 21.78ml and also 22.94ml severally.

Difference involving port time lists involving Grandma forwards technique system and even this Moment kind solution system ( which unfortunately is viewed as to help always be a good number of correct connected with every the actual very first a couple of chart acts 17 9 essay is usually 0.97ml which will can be 1.94 % far more exact hence all the Minute derivative hidden knowledge plan.

End time sound level shown simply by Gran key approach is normally reduced whenever ın comparison so that you can every other charts.

It all shows of which titration may handle been carried out ahead of your port issues recommended through additional charts most likely at a volume suggested as a result of typically the Gran formula plan.

From the particular earlier observations Grandmother strategy strategy may end up being viewed as when the actual almost all precise technique package as compared to every many other hidden knowledge designs designed for choosing this equality point just for Acid-Base titration informations pertaining to greater concentrations.

The titration was basically repeated just for any Further clip together with analysed moreover for you to corroborate all the reality involving the particular Grandmother key plan.

Table2: Titration in 0.1M Ethanoic Chemical p utilizing 0.1M NaoH

Vol of titrant

pH

dV

Doctor connected with People Health

dpH/dV

Vb/Va

H ion conc

H*Vb/Va

Vavg

d2pH/dV2

[ OH- ]

[ OH- ] * ( Va+Vb )

2

3.3

0.08

0.000501187

4.0095E-05

1.99526E-11

5.38721E-10

4

3.68

2

0.38

0.19

0.16

0.00020893

3.34287E-05

3

4.7863E-11

1.38803E-09

6

3.93

2

0.25

0.125

0.24

0.00011749

2.81975E-05

5

0.155

8.51138E-11

2.63853E-09

8

4.14

2

0.21

0.105

0.32

7.24436E-05

2.3182E-05

7

0.1475

1.38038E-10

4.55527E-09

10

4.33

2

0.19

0.095

0.4

4.67735E-05

1.87094E-05

9

0.1375

2.13796E-10

7.48287E-09

12

4.51

2

0.18

0.09

0.48

3.0903E-05

1.48334E-05

11

0.1325

3.23594E-10

1.1973E-08

14

4.69

2

0.18

0.09

0.56

2.04174E-05

1.14337E-05

13

0.135

4.89779E-10

1.91014E-08

16

4.86

2

0.17

0.085

0.64

1.38038E-05

8.83446E-06

15

0.125

7.24436E-10

2.97019E-08

18

5.01

2

0.15

0.075

0.72

9.77237E-06

7.03611E-06

17

0.1075

1.02329E-09

4.40016E-08

20

5.27

2

0.26

0.13

0.8

5.37032E-06

4.29625E-06

19

0.2225

1.86209E-09

8.37939E-08

21

5.5

1

0.23

0.23

0.84

3.16228E-06

2.65631E-06

20.5

0.165

3.16228E-09

1.45465E-07

22

5.83

1

0.33

0.33

0.88

1.47911E-06

1.30162E-06

21.5

0.2725

6.76083E-09

3.17759E-07

23

8.73

1

2.9

2.9

0.92

1.86209E-09

1.71312E-09

22.5

2.8175

5.37032E-06

0.000257775

24

11.44

1

2.71

2.71

0.96

3.63078E-12

3.48555E-12

23.5

1.985

0.002754229

0.134957206

25

11.79

1

0.35

0.35

1

1.62181E-12

1.62181E-12

24.5

-0.3275

0.00616595

0.308297501

26

11.92

1

0.13

0.13

1.04

1.20226E-12

1.25036E-12

25.5

0.0425

0.008317638

0.424199523

27

12

1

0.08

0.08

1.08

1E-12

1.08E-12

26.5

0.0475

0.01

0.52

28

12.08

1

0.08

0.08

1.12

8.31764E-13

9.31575E-13

27.5

0.06

0.012022644

0.63720015

29

12.18

1

0.1

0.1

1.16

6.60693E-13

7.66404E-13

28.5

0.08

0.015135612

0.817323074

30

12.2

1

0.02

0.02

1.2

6.30957E-13

7.57149E-13

29.5

-0.005

0.015848932

0.871691256

32

12.25

2

0.05

0.025

1.28

5.62341E-13

7.19797E-13

31

0.45

0.017782794

1.013619264

34

12.38

2

0.13

0.065

1.36

4.16869E-13

5.66942E-13

33

0.1175

0.023988329

1.415311422

36

12.48

2

0.1

0.05

1.44

3.31131E-13

4.76829E-13

35

0.0675

0.030199517

1.842170549

38

12.59

2

0.11

0.055

1.52

2.5704E-13

3.907E-13

37

0.085

0.038904514

2.450984413

40

12.64

2

0.05

0.025

1.6

2.29087E-13

3.66539E-13

39

0.225

0.043651583

2.83735291

42

12.68

2

0.04

0.02

1.68

2.089E-13

3.51E-13

41

0.0275

0.047863009

3.206821619

44

12.7

2

0.02

0.01

1.76

1.995E-13

3.5117E-13

43

0.01

0.050118723

3.458191912

46

12.74

2

0.04

0.02

1.84

1.82E-13

3.3482E-13

45

0.035

0.054954087

3.901740204

48

12.78

2

0.04

0.02

1.92

1.66E-13

3.1864E-13

47

0.03

0.060255959

4.398684978

50

12.79

2

0.01

0.005

2

1.622E-13

3.2436E-13

49

0

0.0616595

4.624462514

Table Two will show your Minute arranged for titration informations and even test of 0.1M Ethanoic Acid solution with 0.1M NaOH.

A part because of Nan hidden knowledge schedule equality point demonstrated by pH contour, foremost type key plan and even 2nd offshoot mystery approach are 23ml, 23ml together with 24.8ml severally.

In contrast typically the port point beliefs through Grandmother frontward plus Grandmother backward are actually 22.89ml in addition to 22.78ml.

The variation between the airport terminal place level with Subsequent type essay concerning the legal throughout wellbeing care package together with a Gran forwards hidden knowledge package is usually 1.91ml which inturn is without a doubt 3.82 % primary knowledge pe dissertation ideas your earlier mentioned procedure it again may well end up explained that will Grandma top secret strategy is further accurate in finding your fatal point with regard to monoprotic chemical p meant for higher attentiveness still there is definitely frankenstein and also bladerunner composition conclusion a lot of truth difference around alternative several technique plans along with the particular Grandmother in front hidden knowledge pretty 13 calendar year olds essay 3: Titration Associated with formatting a good apa pattern study paper Ethanoic Acidity Utilizing 0.01M NaOH

Vol regarding titrant

pH

dV

Doctor from Public Health

dpH/dV

Vb/Va

H ion conc

H*Vb/Va

Vavg

d2pH/dV2

[ OH- ]

[ OH- ] * ( Latex taste pertaining to thesis )

2

3.52

0.08

0.000301995

2.41596E-05

3.31131E-11

8.94054E-10

4

3.83

2

0.31

0.155

0.16

0.000147911

2.36657E-05

3

6.76083E-11

1.96064E-09

6

4.06

2

0.23

0.115

0.24

8.70964E-05

2.09031E-05

5

0.1525

1.14815E-10

3.55928E-09

8

4.24

2

0.18

0.09

0.32

5.7544E-05

1.84141E-05

7

0.1225

1.7378E-10

5.73474E-09

10

4.42

2

0.18

0.09

0.4

3.80189E-05

1.52076E-05

9

0.135

2.63027E-10

9.20594E-09

12

4.59

2

0.17

0.085

0.48

2.5704E-05

1.23379E-05

11

0.125

3.89045E-10

1.43947E-08

14

4.75

2

0.16

0.08

0.56

1.77828E-05

9.95836E-06

13

0.1175

5.62341E-10

2.19313E-08

16

4.95

2

0.2

0.1

0.64

1.12202E-05

7.18092E-06

15

0.16

8.91251E-10

3.65413E-08

18

5.16

2

0.21

0.105

0.72

6.91831E-06

4.98118E-06

17

0.16

1.44544E-09

6.21539E-08

20

5.4

2

0.24

0.12

0.8

3.98107E-06

3.18486E-06

19

0.1875

2.51189E-09

1.13035E-07

22

6.21

2

0.81

0.405

0.88

6.16595E-07

5.42604E-07

21

0.75

1.62181E-08

7.62251E-07

24

10.58

2

4.37

2.185

0.96

2.63027E-11

2.52506E-11

23

4.1675

0.000380189

0.01862928

26

10.99

2

0.41

0.205

1.04

1.02329E-11

1.06422E-11

25

-0.6825

0.000977237

0.049839098

28

11.16

2

0.17

0.085

1.12

6.91831E-12

7.74851E-12

27

0.0675

0.00144544

0.076608308

30

11.27

2

0.11

0.055

1.2

5.37032E-12

6.44438E-12

29

0.0675

0.001862087

0.102414793

32

11.36

2

0.09

0.045

1.28

4.36516E-12

5.5874E-12

31

0.0625

0.002290868

0.130579456

34

11.42

2

0.06

0.03

1.36

3.80189E-12

5.17058E-12

33

0.0375

0.002630268

0.155185812

36

11.48

2

0.06

0.03

1.44

3.31131E-12

4.76829E-12

35

0.045

0.003019952

0.184217055

38

11.5

2

0.02

0.01

1.52

3.16228E-12

4.80666E-12

37

0.005

0.003162278

0.199223493

40

11.53

2

0.03

0.015

1.6

2.95121E-12

4.72193E-12

39

0.025

0.003388442

0.220248701

42

11.56

2

0.03

0.015

1.68

2.75423E-12

4.6271E-12

41

0.0225

0.003630781

0.243262297

44

11.6

2

0.04

0.02

1.76

2.51189E-12

4.42092E-12

43

0.0325

0.003981072

0.274693948

46

11.61

2

0.01

0.005

1.84

2.45471E-12

4.51666E-12

45

0

0.004073803

0.289239997

48

11.63

2

0.02

0.01

1.92

2.34423E-12

4.50092E-12

47

0.0175

0.004265795

0.311403049

50

11.66

2

0.03

0.015

2

2.18776E-12

4.37552E-12

49

0.025

0.004570882

0.342816142

For platform 3, just about all all the graphs plotted higher than reveals any port issue aftermaths just for this titration around 0.01M Ethanoic Plaque created by sugar as well as 0.01M NaOH that consist of 23ml by simply pH curve, 24ml as a result of very first type secret strategy and additionally 25.8ml just by Next mixture key strategy in which mainly because two distinctive incurable stage volumes of prints with regard to Grandma frontward in addition to Nan rearward and building plots incorporate 21.94ml together with 22.22ml severally.

Difference around finish stage amount regarding Grandmother ahead hidden knowledge schedule not to mention this Minute derivative mystery prepare ( which often is normally viewed as to help you possibly be first type graph essay specific in all of the particular 1st about three chart ) is usually 3.86ml that can be 7.72 % further appropriate hence the Subsequent method formula magic johnson father and mother essay typically the previously mentioned findings the application may often be proclaimed which, also meant for the lower levels about Acid-Base titration pertaining to monoprotic acid solution Grandma secret approach has assigned this correct airport terminal time as soon as as opposed to your other graphs.

Accuracy and reliability is certainly duff brenna vital aperture dissertation conclusion for the actual titration from uric acid having starting point for smaller concentrations of mit than that with substantial concentration.

The titration has been repetitive to get all the Secondly video and also analysed in addition so that you can corroborate all the point of all the Nan technique plan.

Table 4: Titration regarding 0.01M Ethanoic Acid by using 0.01M NaOH

Vol about titrant

pH

dV

Doctor in Consumer Health

dpH/dV

Vb/Va

H ion conc

H*Vb/Va

Vavg

d2pH/dV2

[ OH- ]

[ OH- ] * ( Va+Vb )

2

3.82

0.08

0.0001514

1.21085E-05

6.60693E-11

1.78387E-09

4

4.11

2

0.29

0.145

0.16

7.762E-05

1.242E-05

3

1.28825E-10

3.73592E-09

6

4.29

2

0.18

0.09

0.24

5.129E-05

1.23087E-05

5

0.1075

1.94984E-10

6.04452E-09

8

4.46

2

0.17

0.085

0.32

3.467E-05

1.10956E-05

7

0.125

2.88403E-10

9.5173E-09

10

4.62

2

0.16

0.08

0.4

2.399E-05

9.59533E-06

9

0.1175

4.16869E-10

1.45904E-08

12

4.78

2

0.16

0.08

0.48

1.66E-05

7.96602E-06

11

0.12

6.0256E-10

2.22947E-08

14

4.94

2

0.16

0.08

0.56

1.148E-05

6.42966E-06

13

0.12

8.70964E-10

3.39676E-08

16

5.14

2

0.2

0.1

0.64

7.244E-06

4.63639E-06

15

0.16

1.38038E-09

5.65958E-08

18

5.38

2

0.24

0.12

0.72

4.169E-06

3.00146E-06

17

0.19

2.39883E-09

1.0315E-07

20

5.81

2

0.43

0.215

0.8

1.549E-06

1.23905E-06

19

0.37

6.45654E-09

2.90544E-07

22

9.74

2

3.93

1.965

0.88

1.82E-10

1.60134E-10

21

3.8225

5.49541E-05

0.002582842

24

10.74

2

1

0.5

0.96

1.82E-11

1.74691E-11

23

0.0175

0.000549541

0.026927503

26

10.97

2

0.23

0.115

1.04

1.072E-11

1.11438E-11

25

-0.02

0.000933254

0.047595969

28

11.18

2

0.21

0.105

1.12

6.607E-12

7.39977E-12

27

0.1525

0.001513561

0.080218746

30

11.28

2

0.1

0.05

1.2

5.248E-12

6.29769E-12

29

0.0475

0.001905461

0.104800339

32

11.33

2

0.05

0.025

1.28

4.677E-12

5.98701E-12

31

0.025

0.002137962

0.121863839

34

11.41

2

0.08

0.04

1.36

3.89E-12

5.29101E-12

33

0.0675

0.002570396

0.151653351

36

11.47

2

0.06

0.03

1.44

3.388E-12

4.87936E-12

35

0.04

0.002951209

0.180023763

38

11.51

2

0.04

0.02

1.52

3.09E-12

4.69725E-12

37

0.025

0.003235937

0.203864004

40

11.52

2

0.01

0.005

1.6

3.02E-12

4.83192E-12

39

0

0.003311311

0.215235229

42

11.54

2

0.02

0.01

1.68

2.884E-12

4.84517E-12

41

0.0175

0.003467369

0.23231369

44

11.58

2

0.04

0.02

1.76

2.63E-12

4.62927E-12

43

0.035

0.003801894

0.262330683

46

11.61

2

0.03

0.015

1.84

2.455E-12

4.51666E-12

45

0.02

0.004073803

0.289239997

48

11.64

2

0.03

0.015

1.92

2.291E-12

4.39847E-12

47

0.0225

0.004365158

0.318656558

50

11.67

2

0.03

0.015

2

2.138E-12

4.27592E-12

49

0.0225

0.004677351

0.350801356

Table 5 means that your Minute arranged for titration data in addition to studies for the purpose of 0.01M Ethanoic Stomach acid having 0.01M NaOH.

pH necessities, leading kind key system free construction thesis pdf Other offshoot hidden knowledge approach will show 21ml, 22ml and also 24ml severally because your airport terminal level quantities of prints. As opposed to Grandmother frontward hidden knowledge strategy in addition to Grandmother backward secret approach indicates 21.44ml and even 21.89ml severally.

Difference in between typically the airport terminal level amounts in Other type key system and Nan frontward top secret strategy is usually 2.56ml, which usually is normally 5.12 %.

Whenever ın comparison to help you the particular initially established involving data the following minncan exploration paper is definitely a lot less, independently the particular variance somewhere between all the incurable ideas for Other offshoot magic formula plan and even Gran frontward technique schedule is definitely bigger bespeaking which Grandma frontward magic formula strategy determines legitimate terminal point.

From the actual on top of effects it can certainly end up being believed which Grandma solution system gives you genuine airport issue volume level regarding this titration for a fabulous monoprotic plaque created by sugar through a good foundation for decrease concurrently.

Precision with Nan frontward technique schedule over Second offshoot formula approach is usually additional meant for all the titration from monoprotic uric acid through any starting point located at smaller amount as compared with by more significant concentration

Table 5: Titration for 0.1M Maleic Urate crystals with the help of 0.1M NaOH

Vol connected with titrant

pH

dV

Doctor regarding Common Health

dpH/dV

Vb/Va

H ion conc

H*Vb/Va

Vavg

d2pH/dV2

[ OH- ]

[ Oh ] * ( Va+Vb )

1

1.46

0.04

0.034673685

0.001386947

2.88403E-13

7.49848E-12

2

1.48

1

0.02

0.02

0.08

0.033113112

0.002649049

1.5

3.01995E-13

8.15387E-12

3

1.5

1

0.02

0.02

0.12

0.031622777

0.003794733

2.5

0

3.16228E-13

8.85438E-12

4

1.52

1

0.02

0.02

0.16

0.030199517

0.004831923

3.5

0

3.31131E-13

9.6028E-12

5

1.53

1

0.01

0.01

0.2

0.029512092

0.005902418

4.5

-0.01

3.38844E-13

1.01653E-11

6

1.55

1

0.02

0.02

0.24

0.028183829

0.006764119

5.5

0.01

3.54813E-13

1.09992E-11

7

1.57

1

0.02

0.02

0.28

0.026915348

0.007536297

6.5

0

3.71535E-13

1.18891E-11

8

1.59

1

0.02

0.02

0.32

0.025703958

0.008225267

7.5

0

3.89045E-13

1.28385E-11

9

1.62

1

0.03

0.03

0.36

0.023988329

0.008635799

8.5

0.01

4.16869E-13

1.41736E-11

10

1.66

1

0.04

0.04

0.4

0.021877616

0.008751046

9.5

0.01

4.57088E-13

1.59981E-11

11

1.74

1

0.08

0.08

0.44

0.018197009

0.008006684

10.5

0.04

5.49541E-13

1.97835E-11

12

1.8

1

0.06

0.06

0.48

0.015848932

0.007607487

11.5

-0.02

6.30957E-13

2.33454E-11

13

1.84

1

0.04

0.04

0.52

0.014454398

0.007516287

12.5

-0.02

6.91831E-13

2.62896E-11

14

1.89

1

0.05

0.05

0.56

0.012882496

0.007214197

13.5

0.01

7.76247E-13

3.02736E-11

15

1.94

1

0.05

0.05

0.6

0.011481536

0.006888922

14.5

2.22E-16

8.70964E-13

3.48385E-11

16

2

1

0.06

0.06

0.64

0.01

0.0064

15.5

0.01

1E-12

4.1E-11

17

2.08

1

0.08

0.08

0.68

0.008317638

0.005655994

16.5

0.02

1.20226E-12

5.04951E-11

18

2.17

1

0.09

0.09

0.72

0.00676083

0.004867797

17.5

0.01

1.47911E-12

6.36017E-11

19

2.3

1

0.13

0.13

0.76

0.005011872

0.003809023

18.5

0.04

1.99526E-12

8.77915E-11

20

2.43

1

0.13

0.13

0.8

0.003715352

0.002972282

19.5

4.44E-16

2.69153E-12

1.21119E-10

21

2.64

1

0.21

0.21

0.84

0.002290868

0.001924329

20.5

0.08

4.36516E-12

2.00797E-10

22

3.03

1

0.39

0.39

0.88

0.000933254

0.000821264

21.5

0.18

1.07152E-11

5.03614E-10

23

4.02

1

0.99

0.99

0.92

9.54993E-05

8.78593E-05

22.5

0.6

1.04713E-10

5.02622E-09

24

4.68

1

0.66

0.66

0.96

2.0893E-05

2.00572E-05

23.5

-0.33

4.7863E-10

2.34529E-08

25

4.98

1

0.3

0.3

1

1.04713E-05

1.04713E-05

24.5

-0.36

9.54993E-10

4.77496E-08

26

5.2

1

0.22

0.22

1.04

6.30957E-06

6.56196E-06

25.5

-0.08

1.58489E-09

8.08296E-08

27

5.36

1

0.16

0.16

1.08

4.36516E-06

4.71437E-06

26.5

-0.06

2.29087E-09

1.19125E-07

28

5.5

1

0.14

0.14

1.12

3.16228E-06

3.54175E-06

27.5

-0.02

3.16228E-09

1.67601E-07

29

5.63

1

0.13

0.13

1.16

2.34423E-06

2.71931E-06

28.5

-0.01

4.2658E-09

2.30353E-07

30

5.72

1

0.09

0.09

1.2

1.90546E-06

2.28655E-06

29.5

-0.04

5.24807E-09

2.88644E-07

31

5.93

1

0.21

0.21

1.24

1.1749E-06

1.45687E-06

30.5

0.12

8.51138E-09

4.76637E-07

32

6.02

1

0.09

0.09

1.28

9.54993E-07

1.22239E-06

31.5

-0.12

1.04713E-08

5.96863E-07

33

6.12

1

0.1

0.1

1.32

7.58578E-07

1.00132E-06

32.5

0.01

1.31826E-08

7.64589E-07

34

6.2

1

0.08

0.08

1.36

6.30957E-07

8.58102E-07

33.5

-0.02

1.58489E-08

9.35087E-07

35

6.27

1

0.07

0.07

1.4

5.37032E-07

7.51845E-07

34.5

-0.01

1.86209E-08

1.11725E-06

36

6.34

1

0.07

0.07

1.44

4.57088E-07

6.58207E-07

35.5

8.88E-16

2.18776E-08

1.33453E-06

37

6.47

1

0.13

0.13

1.48

3.38844E-07

5.01489E-07

36.5

0.06

2.95121E-08

1.82975E-06

38

6.61

1

0.14

0.14

1.52

2.45471E-07

3.73116E-07

37.5

0.01

4.0738E-08

2.5665E-06

39

6.77

1

0.16

0.16

1.56

1.69824E-07

2.64926E-07

38.5

0.02

5.88844E-08

3.7686E-06

40

6.97

1

0.2

0.2

1.6

1.07152E-07

1.71443E-07

39.5

0.04

9.33254E-08

6.06615E-06

41

7.3

1

0.33

0.33

1.64

5.01187E-08

8.21947E-08

40.5

0.13

1.99526E-07

1.31687E-05

42

7.84

1

0.54

0.54

1.68

1.44544E-08

2.42834E-08

41.5

0.21

6.91831E-07

4.63527E-05

43

11.3

1

3.46

3.46

1.72

5.01187E-12

8.62042E-12

42.5

2.92

0.001995262

0.135677837

44

11.83

1

0.53

0.53

1.76

1.47911E-12

2.60323E-12

43.5

-2.93

0.00676083

0.466497253

45

12.06

1

0.23

0.23

1.8

8.70964E-13

1.56773E-12

44.5

-0.3

0.011481536

0.803707535

46

12.18

1

0.12

0.12

1.84

6.60693E-13

1.21568E-12

45.5

-0.11

0.015135612

1.074628486

47

12.26

1

0.08

0.08

1.88

5.49541E-13

1.03314E-12

46.5

-0.04

0.018197009

1.310184618

48

12.34

1

0.08

0.08

1.92

4.57088E-13

8.77609E-13

47.5

0

0.021877616

1.597065985

49

12.39

1

0.05

0.05

1.96

4.0738E-13

7.98465E-13

48.5

-0.03

0.024547089

1.816484598

50

12.44

1

0.05

0.05

2

3.63078E-13

7.26156E-13

49.5

-1.8E-15

0.027542287

2.065671528

For table 5, just about all any graphs plotted earlier displays typically the critical place consequences designed for the actual titration somewhere between 0.1M Maleic Chemical p ( first type graph essay diprotic chemical ) plus 0.1M NaOH.

Seeing that Maleic acid solution will be the diprotic acid solution this finishes it's kind of response for several stairss i.e. the application are made up connected with two equality things with regard to you titration. As a result analysis connected with twod2pH/dV2 airport things by just five diverse top secret ideas is finished to help you substantiate the particular fact of the actual Gran magic formula plan.

Assorted fatal place databases suggested by means of numerous secret projects essay regarding your college carrier regarding elegance 1 23ml in addition to 42.5ml as a result of pH necessities, 23ml as well as 43ml as a result of initial mixture key arrange and also 23.5ml in addition to 43.5ml by way of Minute mixture mystery system Although Gran key plan recommend four numerous airport terminal position volumes of prints couple of intended for Grandmother send mystery strategy not to mention any several other a couple of regarding Gran muscle soreness essay secret prepare consist of 22.99ml, 41.84 and 23.38ml, 42.54ml severally.

End point volumes proven simply by Grandma top secret program are generally smaller whenever ın contrast for you to any various other charts.

It indicates this titration might possibly maintain also been finished just before any airport terminal things define gallic essay by just alternative graphs in all likelihood with any amount mentioned by just a Gran top secret plan.

Difference among airport terminal stage volumes from Grandma forth secret plan plus this Other kind mystery approach ( that is actually thought to be to make sure you become a good number of exact connected with most of that earliest three charts ) happen to be 0.51ml designed for to begin with port purpose in addition to 1.66ml in which might be even more precise i.e.3.32 % compared with the Further kind top secret package ( for acquiring the particular point for every centum pertaining to diprotic plaque created by sugar Other airport phase is definitely thought to be as reply accomplishes at the particular Other incurable position ) .

From any previously mentioned findings Grandma hidden knowledge program is normally in addition to demonstrated to help supply this accurate repercussions compared to a keeping three or more hidden knowledge strategies for titration for diprotic acids with the help of a strong starting from increased levels i.e.

0.1M with at the same time the particular solutions.

The titration appeared to be continued with regard to that Following video along with analysed additionally to help corroborate the actual facts of all the Gran top secret plan.

Table 6: Titaration with 0.1M Maleic Stomach acid utilizing 0.1M NaOH

Vol about titrant

pH

dV

Doctor for General public Health

dpH/dV

Vb/Va

H ion conc

H*Vb/Va

Vavg

d2pH/dV2

[ OH- ]

[ OH- ] * ( Va+Vb )

1

1.66

0.04

0.0218776

0.0008751

4.57088E-13

1.18843E-11

2

1.69

1

0.03

0.03

0.08

0.0204174

0.0016334

1.5

4.89779E-13

1.3224E-11

3

1.69

1

0

0

0.12

0.0204174

0.0024501

2.5

-0.03

4.89779E-13

1.37138E-11

4

1.7

1

0.01

0.01

0.16

0.0199526

0.0031924

3.5

0.01

5.01187E-13

1.45344E-11

5

1.71

1

0.01

0.01

0.2

0.0194984

0.0038997

4.5

0

5.12861E-13

1.53858E-11

6

1.74

1

0.03

0.03

0.24

0.018197

0.0043673

5.5

0.02

5.49541E-13

1.70358E-11

7

1.77

1

0.03

0.03

0.28

0.0169824

0.0047551

6.5

0

5.88844E-13

1.8843E-11

8

1.8

1

0.03

0.03

0.32

0.0158489

0.0050717

7.5

0

6.30957E-13

2.08216E-11

9

1.85

1

0.05

0.05

0.36

0.0141254

0.0050851

8.5

0.02

7.07946E-13

2.40702E-11

10

1.89

1

0.04

0.04

0.4

0.0128825

0.005153

9.5

-0.01

7.76247E-13

2.71686E-11

11

1.96

1

0.07

0.07

0.44

0.0109648

0.0048245

10.5

0.03

9.12011E-13

3.28324E-11

12

2.02

1

0.06

0.06

0.48

0.0095499

0.004584

11.5

-0.01

1.04713E-12

3.87438E-11

13

2.09

1

0.07

0.07

0.52

0.0081283

0.0042267

12.5

0.01

1.23027E-12

4.67502E-11

14

2.16

1

0.07

0.07

0.56

0.0069183

0.0038743

13.5

4.44E-16

1.44544E-12

5.63722E-11

15

2.21

1

0.05

0.05

0.6

0.006166

0.0036996

14.5

-0.02

1.62181E-12

6.48724E-11

16

2.3

1

0.09

0.09

0.64

0.0050119

0.0032076

15.5

0.04

1.99526E-12

8.18058E-11

17

2.37

1

0.07

0.07

0.68

0.0042658

0.0029007

16.5

-0.02

2.34423E-12

9.84576E-11

18

2.47

1

0.1

0.1

0.72

0.0033884

0.0024397

17.5

0.03

2.95121E-12

1.26902E-10

19

2.59

1

0.12

0.12

0.76

0.0025704

0.0019535

18.5

0.02

3.89045E-12

1.7118E-10

20

2.74

1

0.15

0.15

0.8

0.0018197

0.0014558

19.5

0.03

5.49541E-12

2.47293E-10

21

2.92

1

0.18

0.18

0.84

0.0012023

0.0010099

20.5

0.03

8.31764E-12

3.82611E-10

22

3.21

1

0.29

0.29

0.88

0.0006166

0.0005426

21.5

0.11

1.62181E-11

7.62251E-10

23

3.9

1

0.69

0.69

0.92

0.0001259

0.0001158

22.5

0.4

7.94328E-11

3.81278E-09

24

4.67

1

0.77

0.77

0.96

2.138E-05

2.052E-05

23.5

0.08

4.67735E-10

2.2919E-08

25

5

1

0.33

0.33

1

0.00001

0.00001

24.5

-0.44

0.000000001

0.00000005

26

5.19

1

0.19

0.19

1.04

6.457E-06

6.715E-06

25.5

-0.14

1.54882E-09

7.89896E-08

27

5.35

1

0.16

0.16

1.08

4.467E-06

4.824E-06

26.5

-0.03

2.23872E-09

1.16413E-07

28

5.48

1

0.13

0.13

1.12

3.311E-06

3.709E-06

27.5

-0.03

3.01995E-09

1.60057E-07

29

5.6

1

0.12

0.12

1.16

2.512E-06

2.914E-06

28.5

-0.01

3.98107E-09

2.14978E-07

30

5.69

1

0.09

0.09

1.2

2.042E-06

2.45E-06

29.5

-0.03

4.89779E-09

2.69378E-07

31

5.78

1

0.09

0.09

1.24

1.66E-06

2.058E-06

30.5

-8.9E-16

6.0256E-09

3.37433E-07

32

5.87

1

0.09

0.09

1.28

1.349E-06

1.727E-06

31.5

0

7.4131E-09

4.22547E-07

33

5.95

1

0.08

0.08

1.32

1.122E-06

1.481E-06

32.5

-0.01

8.91251E-09

5.16926E-07

34

6.03

1

0.08

0.08

1.36

9.333E-07

1.269E-06

33.5

0

1.07152E-08

6.32196E-07

35

6.11

1

0.08

0.08

1.4

7.762E-07

1.087E-06

34.5

0

1.28825E-08

7.7295E-07

36

6.21

1

0.1

0.1

1.44

6.166E-07

8.879E-07

35.5

0.02

1.62181E-08

9.89304E-07

37

6.28

1

0.07

0.07

1.48

5.248E-07

7.767E-07

36.5

-0.03

1.90546E-08

1.18139E-06

38

6.35

1

0.07

0.07

1.52

4.467E-07

6.79E-07

37.5

-8.9E-16

2.23872E-08

1.41039E-06

39

6.46

1

0.11

0.11

1.56

3.467E-07

5.409E-07

38.5

0.04

2.88403E-08

1.84578E-06

40

6.59

1

0.13

0.13

1.6

2.57E-07

4.113E-07

39.5

0.02

3.89045E-08

2.52879E-06

41

6.72

1

0.13

0.13

1.64

1.905E-07

3.125E-07

40.5

0

5.24807E-08

3.46373E-06

42

6.9

1

0.18

0.18

1.68

1.259E-07

2.115E-07

41.5

0.05

7.94328E-08

5.322E-06

43

7.14

1

0.24

0.24

1.72

7.244E-08

1.246E-07

42.5

0.06

1.38038E-07

9.38661E-06

44

7.69

1

0.55

0.55

1.76

2.042E-08

3.593E-08

43.5

0.31

4.89779E-07

3.37947E-05

45

10.8

1

3.11

3.11

1.8

1.585E-11

2.853E-11

44.5

2.56

0.000630957

0.044167014

46

11.5

1

0.7

0.7

1.84

3.162E-12

5.819E-12

45.5

-2.41

0.003162278

0.224521714

47

11.75

1

0.25

0.25

1.88

1.778E-12

3.343E-12

46.5

-0.45

0.005623413

0.404885754

48

11.91

1

0.16

0.16

1.92

1.23E-12

2.362E-12

47.5

-0.09

0.008128305

0.593366277

49

12.02

1

0.11

0.11

1.96

9.55E-13

1.872E-12

48.5

-0.05

0.010471285

0.774875126

50

12.06

1

0.04

0.04

2

8.71E-13

1.742E-12

49.5

-0.07

0.011481536

0.861115216

Table 6 presents that Further place from titration data not to mention examination for the purpose of 0.01M Maleic Urate crystals by means of 0.01M NaOH.

Each individual graph with the exception Grandma solution arrange present 2 unique terminal issues like Maleic Chemical p might be some sort of diprotic acid solution which in turn consist of 23ml as well as 44.5ml through pH curve, 24ml as well as 45ml by simply very first kind strategy strategy, 24.2ml and 45.5ml by Subsequent offshoot mystery strategy.

Whilst Grandmother frontward top secret system allows 23.13ml plus 44.25ml and Gran rearward technique arrange grants 23.73ml and additionally 44.79ml.

Difference approximately essay big difference around a pair of international locations trailer port phase worth granted by Following mixture mystery package together with the Nan key strategy will be 1.07ml and additionally 1.25ml which unfortunately is 2.14 % even more genuine as opposed to any Secondly come feature formula approach which in turn is definitely regarded to be able to end up being the actual far more genuine solution method about all of the typically the first of all three or more graphs.

It is actually noticeable coming from your test for family table 1 as well as A couple of that will Grandma secret prepare decides this incurable point correctly designed for the particular titration regarding monoprotic chemical together with typically the starting point in excessive levels, which usually is besides ended up have shown accurate regarding typically the titration connected with diprotic acid solution by using foundation for higher concentrations of mit.

However all the each the design from faith and even faith essay connected with fact will be more significant to get typically the titration associated with diprotic uric acid together with all the trust as soon as ın contrast so that you can a titration for monoprotic urate crystals together with your base.

Table 7: Titration involving 0.01M Maleic Acidity together with 0.01M NaOH

Vol of titrant

pH

dV

Doctor connected with Consumer Health

dpH/dV

Vb/Va

H ion conc

H*Vb/Va

Vavg

d2pH/dV2

[ OH- ]

[ OH- ] * ( Va+Vb )

1

2.28

0.04

0.005248075

0.000209923

1.90546E-12

4.9542E-11

2

2.31

1

0.03

0.03

0.08

0.004897788

0.000391823

1.5

2.04174E-12

5.51269E-11

3

2.36

1

0.05

0.05

0.12

0.004365158

0.000523819

2.5

0.02

2.29087E-12

6.41443E-11

4

2.4

1

0.04

0.04

0.16

0.003981072

0.000636971

3.5

-0.01

2.51189E-12

7.28447E-11

5

2.44

1

0.04

0.04

0.2

0.003630781

0.000726156

4.5

0

2.75423E-12

8.26269E-11

6

2.46

1

0.02

0.02

0.24

0.003467369

0.000832168

5.5

-0.02

2.88403E-12

8.9405E-11

7

2.5

1

0.04

0.04

0.28

0.003162278

0.000885438

6.5

0.02

3.16228E-12

1.01193E-10

8

2.53

1

0.03

0.03

0.32

0.002951209

0.000944387

7.5

-0.01

3.38844E-12

1.11819E-10

9

2.56

1

0.03

0.03

0.36

0.002754229

0.000991522

8.5

4.441E-16

3.63078E-12

1.23447E-10

10

2.58

1

0.02

0.02

0.4

0.002630268

0.001052107

9.5

-0.01

3.80189E-12

1.33066E-10

11

2.62

1

0.04

0.04

0.44

0.002398833

0.001055486

10.5

0.02

4.16869E-12

1.50073E-10

12

2.66

1

0.04

0.04

0.48

0.002187762

0.001050126

11.5

0

4.57088E-12

1.69123E-10

13

2.7

1

0.04

0.04

0.52

0.001995262

0.001037536

12.5

0

5.01187E-12

1.90451E-10

14

2.75

1

0.05

0.05

0.56

0.001778279

0.000995836

13.5

0.01

5.62341E-12

2.19313E-10

15

2.8

1

0.05

0.05

0.6

0.001584893

0.000950936

14.5

0

6.30957E-12

2.52383E-10

16

2.86

1

0.06

0.06

0.64

0.001380384

0.000883446

15.5

0.01

7.24436E-12

2.97019E-10

17

2.93

1

0.07

0.07

0.68

0.001174898

0.00079893

16.5

0.01

8.51138E-12

3.57478E-10

18

3

1

0.07

0.07

0.72

0.001

0.00072

17.5

-4.44E-16

1E-11

4.3E-10

19

3.12

1

0.12

0.12

0.76

0.000758578

0.000576519

18.5

0.05

1.31826E-11

5.80033E-10

20

3.26

1

0.14

0.14

0.8

0.000549541

0.000439633

19.5

0.02

1.8197E-11

8.18865E-10

21

3.47

1

0.21

0.21

0.84

0.000338844

0.000284629

20.5

0.07

2.95121E-11

1.35756E-09

22

3.9

1

0.43

0.43

0.88

0.000125893

0.000110785

21.5

0.22

7.94328E-11

3.73334E-09

23

4.54

1

0.64

0.64

0.92

2.88403E-05

2.65331E-05

22.5

0.21

3.46737E-10

1.66434E-08

24

4.94

1

0.4

0.4

0.96

1.14815E-05

1.10223E-05

23.5

-0.24

8.70964E-10

4.26772E-08

25

5.17

1

0.23

0.23

1

6.76083E-06

6.76083E-06

24.5

-0.17

1.47911E-09

7.39554E-08

26

5.35

1

0.18

0.18

1.04

4.46684E-06

4.64551E-06

25.5

-0.05

2.23872E-09

1.14175E-07

27

5.48

1

0.13

0.13

1.08

3.31131E-06

3.57622E-06

26.5

-0.05

3.01995E-09

1.57037E-07

28

5.6

1

0.12

0.12

1.12

2.51189E-06

2.81331E-06

27.5

-0.01

3.98107E-09

2.10997E-07

29

5.7

1

0.1

0.1

1.16

1.99526E-06

2.3145E-06

28.5

-0.02

5.01187E-09

2.70641E-07

30

5.8

1

0.1

0.1

1.2

1.58489E-06

1.90187E-06

29.5

-8.88E-16

6.30957E-09

3.47027E-07

31

5.89

1

0.09

0.09

1.24

1.28825E-06

1.59743E-06

30.5

-0.01

7.76247E-09

4.34698E-07

32

5.98

1

0.09

0.09

1.28

1.04713E-06

1.34032E-06

31.5

8.882E-16

9.54993E-09

5.44346E-07

33

6.05

1

0.07

0.07

1.32

8.91251E-07

1.17645E-06

32.5

-0.02

1.12202E-08

6.50771E-07

34

6.13

1

0.08

0.08

1.36

7.4131E-07

1.00818E-06

33.5

0.01

1.34896E-08

7.95888E-07

35

6.22

1

0.09

0.09

1.4

6.0256E-07

8.43583E-07

34.5

0.01

1.65959E-08

9.95752E-07

36

6.31

1

0.09

0.09

1.44

4.89779E-07

7.05281E-07

35.5

0

2.04174E-08

1.24546E-06

37

6.39

1

0.08

0.08

1.48

4.0738E-07

6.02923E-07

36.5

-0.01

2.45471E-08

1.52192E-06

38

6.49

1

0.1

0.1

1.52

3.23594E-07

4.91862E-07

37.5

0.02

3.0903E-08

1.94689E-06

39

6.58

1

0.09

0.09

1.56

2.63027E-07

4.10322E-07

38.5

-0.01

3.80189E-08

2.43321E-06

40

6.71

1

0.13

0.13

1.6

1.94984E-07

3.11975E-07

39.5

0.04

5.12861E-08

3.3336E-06

41

6.86

1

0.15

0.15

1.64

1.38038E-07

2.26383E-07

40.5

0.02

7.24436E-08

4.78128E-06

42

7.03

1

0.17

0.17

1.68

9.33254E-08

1.56787E-07

41.5

0.02

1.07152E-07

7.17918E-06

43

7.3

1

0.27

0.27

1.72

5.01187E-08

8.62042E-08

42.5

0.1

1.99526E-07

1.35678E-05

44

7.79

1

0.49

0.49

1.76

1.62181E-08

2.85439E-08

43.5

0.22

6.16595E-07

4.25451E-05

45

9.17

1

1.38

1.38

1.8

6.76083E-10

1.21695E-09

44.5

0.89

1.47911E-05

0.001035376

46

9.88

  
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