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16.2 Residual solvents in pharmaceutical substances

1141

Figure 16.2.3. Typical chromatogram of class 1 solvents using the conditions described for system A and procedure 1. Flame-ionization detector. 4: benzene; 10: carbon tetrachloride; 14: 1,2-dichloroethane; 15: 1,1-dichloroethylene; 52: 1,1,1-trichloroethane. [Adapted, by permission, from European Pharmacopoeia, Addendum 2000, pp31-36.] [Please note that information concerning residual solvents are susceptible to be modified in the successive editions of the European Pharmacopeia.]

Figure 16.2.4. Chromatogram of class 2 solvents using the conditions described for system A and procedure 1. Flame-ionization detector. 3: acetonitrile; 11: chloroform; 13: cyclohexane; 16a: cis-1,2dichloroethylene; 17: dichloromethane; 29: hexane; 30: 2-hexanone; 34: methanol; 49: pyridine; 51: toluene; 53: 1,1,2-trichloroethylene; 54: xylene ortho, meta, para; 58: chlorobenzene; 61: tetraline; 62: methylcyclohexane: 63; nitromethane; 64: 1,2-dimethoxyethane. [Adapted, by permission, from European Pharmacopoeia, Addendum 2000, pp31-36.] [Please note that information concerning residual solvents are susceptible to be modified in the successive editions of the European Pharmacopeia.]

1142

Michel Bauer, Christine Barthélémy

Figure 16.2.5. Chromatogram of class 1 residual solvents using the conditions described for system B and procedure 1. Flame-ionization detector. 4: benzene; 10: carbon tetrachloride; 14: 1,2-dichloroethane; 15: 1,1-dichloroethylene; 52: 1,1,1-trichloroethane. [Adapted, by permission, from European Pharmacopoeia, Addendum 2000, pp31-36.] [Please note that information concerning residual solvents are susceptible to be modified in the successive editions of the European Pharmacopeia.]

Figure 16.2.6. Typical chromatogram of class 2 residual solvents using the conditions described for system B and procedure 1. Flame ionization detector. 3: acetonitrile; 11: chloroform; 13: cyclohexane; 16a: cis-1,2-dichloroethylene; 17: dichloromethane; 23: 1,4-dioxane; 29: hexane ; 30: 2-hexanone; 34: methanol; 49 : pyridine ; 51 : toluene ; 53 : 1,1,2-trichloroethylene ; 54 : xylene, ortho, meta, para; 58: chlorobenzene; 61: tetralin; 62: methylcyclohexane; 63: nitromethane; 64: 1,2-dimethoxyethane. [Adapted, by permission, from European Pharmacopoeia, Addendum 2000, pp31-36.] [Please note that information concerning residual solvents are susceptible to be modified in the successive editions of the European Pharmacopeia.]

16.2 Residual solvents in pharmaceutical substances

1143

Comments on the latter are given below. The full text can be found in the US Pharmacopoeia, in the European Pharmacopoeia or in Journals71 (there is also a website - www.ifpma.org/ich1.htm).

16.2.4.1 Introduction

The Guideline recommends acceptable amounts of RS in pharmaceuticals which are safe for the patient. Residual solvents in pharmaceuticals are defined as organic volatile chemicals that are used or produced in the manufacture of active substances or excipients, or in the preparation of medicinal products. It is stated that medicinal products should contain no higher levels of residual solvents than can be supported by safety data. Three classes of solvents have been defined based on risk assessment.

16.2.4.2 Classification of residual solvents by risk assessment

Class 1 solvents: solvents to be avoided, known as human carcinogens or strongly suspected carcinogens and environmental hazards.

Class 2 solvents: solvents to be limited. Nongenotoxic animal carcinogens or possible causative agents of other irreversible toxicities such as neurotoxicity or teratogenicity. Solvents suspected of other significant but reversible toxicities.

Class 3 solvents: Solvents with low toxic potential to man: no health-based exposure limit is needed. Class 3 solvents have permitted daily exposures (PDE) of 50 mg or more per day.

16.2.4.3 Definition of PDE. Method for establishing exposure limits

The PDE is defined as a pharmaceutically acceptable intake of RS. The method used to establish PDEs for RS is described in the references cited above.27,71

16.2.4.4 Limits for residual solvents

Table 16.2.3. Class 1 solvents in pharmaceutical products (solvents that should be avoided)

Solvent

Concentration

Concern

limit, ppm

 

 

 

 

 

Benzene

2

Carcinogen

 

 

 

Carbon tetrachloride

4

Toxic and environmen-

tal hazard

 

 

 

 

 

1.2-Dichloroethane

5

Toxic

 

 

 

1.1-Dichloroethene

8

Toxic

 

 

 

1.1.1-Trichloroethane

1500

Environmental hazard

 

 

 

Solvents of class 1 (see Table 16.2.3) should not be employed. However, if their use is unavoidable in order to

produce a significant therapeutic advance, then their levels should be restricted as shown in Table 16.2.3, unless otherwise justified.

Solvents of class 2 (see Table 16.2.4). Two options are available when setting limits for class 2 solvents.

Option 1

The concentration limits

can be used. They were calculated of 10 g is administered daily.

in ppm stated in Table 16.2.4 using the equation [16.2.1] by assuming a product mass

( ) = 1000 × PDE concentration ppm

dose

where PDE is given in mg/day and dose is given in g/day.

1144

 

Michel Bauer, Christine Barthélémy

Table 16.2.4. Class 2 solvents in pharmaceutical products

 

 

 

 

Solvent

PDE, mg/day

 

Concentration limit, ppm

 

 

 

 

Acetonitrile

4.1

 

410

 

 

 

 

Chlorobenzene

3.6

 

360

 

 

 

 

Chloroform

0.6

 

60

 

 

 

 

Cyclohexane

38.8

 

3880

 

 

 

 

1,2-Dichloroethene

18.7

 

1870

 

 

 

 

Dichloromethane

6.0

 

600

 

 

 

 

1,2-Dimethoxyethane

1.0

 

100

 

 

 

 

N,N-Dimethylacetamide

10.9

 

1090

 

 

 

 

N,N-Dimethylformamide

8.8

 

880

 

 

 

 

1,4-Dioxane

3.8

 

380

 

 

 

 

2-Ethoxyethanol

1.6

 

160

 

 

 

 

Ethylene glycol

6.2

 

620

 

 

 

 

Formamide

2.2

 

220

 

 

 

 

Hexane

2.9

 

290

 

 

 

 

Methanol

30.0

 

3000

 

 

 

 

2-Methoxyethanol

0.5

 

50

 

 

 

 

Methylbutylketone

0.5

 

50

 

 

 

 

Methylcyclohexane

11.8

 

1180

 

 

 

 

N-Methylpyrrolidone

48.4

 

4840

 

 

 

 

Nitromethane

0.5

 

50

 

 

 

 

Pyridine

2.0

 

200

 

 

 

 

Sulfolane

1.6

 

160

 

 

 

 

Tetralin

1.0

 

100

 

 

 

 

Toluene

8.9

 

890

 

 

 

 

1,1,2-Trichloroethene

0.8

 

80

 

 

 

 

Xylene

21.7

 

2170

 

 

 

 

Option 2

It is not considered necessary for each component of the medicinal product to comply with the limits given in option 1. The PDE in terms of mg/day as indicated in Table 16.2.4 can be used with the known maximum daily dose and equation [16.2.1] to determine the concentration of residual solvent allowed in the medicinal product. Option 2 may be applied by adding the amounts of RS present in each of the components of the pharmaceutical formulation. The sum of the amounts of solvent per day should be less than that given by the PDE.

16.2 Residual solvents in pharmaceutical substances

1145

Table 16.2.5. Class 3 solvents which should be limited by GMP or other quality-based requirements

Table 16.2.6. Solvents for which no adequate toxicological data was found

Acetic acid

Heptane

 

 

Acetone

Isobutyl acetate

 

 

Anisole

Isopropyl acetate

 

 

1-Butanol

Methyl acetate

 

 

2-Butanol

3-Methyl-1-butanol

 

 

Butyl acetate

Methyl ethyl ketone

 

 

tert-Butyl methyl ether

Methyl isobutyl ketone

 

 

Cumene

2-Methyl-1-propanol

 

 

Dimethylsulfoxide

Pentane

 

 

Ethanol

1-Pentanol

 

 

Ethyl acetate

1-Propanol

 

 

Ethyl ether

2-Propanol

 

 

Ethyl formate

Propyl acetate

 

 

Formic acid

Tetrahydrofuran

 

 

1,1-Diethoxypropane

1,1-Dimethoxymethane

2,2-Dimethoxypropane

Isooctane

Isopropyl ether

Methylisopropyl ketone

Methyltetrahydrofuran

Petroleum ether

Trichloroacetic acid

Trifluoroacetic acid

Solvents with low toxic potential solvents of class 3 (see Table 16.2.5) may be regarded as less toxic and of lower risk to human health. It is considered that

amounts of these RS of 50 mg per day or less (corresponding to 5000 ppm or 0.5 % under option 1) would be acceptable without justification. Higher amounts may be accept-

able provided they do not have a negative impact on the processability and the stability of the pharmaceutical product.

Solvents for which no adequate toxicological data was found (Table 16.2.6). These solvents can be used in the manufacture of drug substances, excipients and drug products, but the manufacturer should supply justification for residual levels of these solvents in pharmaceutical products.

16.2.4.5 Analytical procedures

If only class 3 solvents are present, a non-specific method such as loss of drying may be used. In the other cases a selective method (e.g., GC) is required. Especially if solvents of class 2 and class 3 are present at greater than their option 1 limits or 0.5 %, respectively, they should be identified and quantified.

16.2.4.6 Conclusions regarding the ICH Guideline

The lists are not exhaustive and other solvents can be used and added later to the lists. Recommended limits of class 1 and class 2 solvents or classification of solvents may change as new safety data become available.

Nevertheless this Guideline is of great interest for those involved in the pharmaceutical development in order to prepare successfully a pharmaceutical dossier acceptable everywhere in the world.

1146

Michel Bauer, Christine Barthélémy

16.2.5 CONCLUSIONS

Those who have worked for many years in pharmaceuticals will have observed continuous progress in standards of Quality and Control in manufacturing.

Solvents including water are still used in almost every step of the elaboration of a drug product. Their residues could be detrimental for the processability and stability of the pharmaceutical products and the safety of patients. At the end of this millennium it can be said that the testing and control of RS has been thoroughly assessed and is based on robust and sensitive techniques, for which the limitations are known, resulting in a sound strategy accepted almost everywhere in the world.

REFERENCES

1Societa Italiana di Scienze Farmaceutiche, Cronache Farmaceutiche, 6, 227-229 (1980).

2Treshold limit values for chemical substances and physical agents in the work environment AGGIH 6500 GLENWAY.

3J. Rabiant, Ann. Pharm. Fr., 42, 503 (1984).

4 J. Rabiant, S.T.P. Pharma Pratiques, 1, 278 (1991).

5M. Gachon, S.T.P. Pharma Pratiques, 1, 531 (1991).

6Procedures for setting limits for organic volatile solvents with methylene chloride as an example of the process, Pharm For., 15, 5748 (1989).

7Survey: residual solvents, Pharmeuropa, 2, 142 (1990).

8H. Stumpf, E. Spiess and M. Habs, Dtsch. Apoth. Ztg., 132, 508 (1992).

9A. Eichhorn, T. Gabrio and S. Plagge, Zent. Bl. Pharm. Pharmakother. Lab. Diagn., 128, 675 (1989).

10C. Witschi and E. Doelker, Eur. J. Pharm. Biopharm., 43, 215 (1997).

11E. Ettabia, C. Barthelemy, M. Jbilou and A.M. Guyot-Hermann, Pharmazie, 53, 8 (1998).

12G.A. Stephenson, E.G. Groleau, R.L. Kleemann, W. Xu and D.R. Rigsbee, J. Pharm. Sci., 87, 536 (1998).

13S.R. Byrn, C.T. Lin, P. Perrier, G.G. Clay and P.A. Sutton, J. Org. Chem., 47, 2978 (1982).

14J. Bauer, J. Quick, R. Oheim, J. Pharm. Sci., 74, 899 (1985).

15A.M. Guyot-Hermann, S.T.P. Pharma Pratiques, 1, 258 (1991).

16P.H. List and G. Laun, Pharm. Ind., 42, 399 (1980).

17C. Lefebvre Ringard, A.M. Guyot-Hermann, R. Bouche et J. Ringard, S.T.P. Pharma, 6, 228 (1990).

18N. Barbarin, A.S. Crucq and B. Tilquin, Radiat. Phys. Chem., 48, 787 (1996).

19N. Barbarin, B. Rollmann, B. Tilquin, Int. J. Pharm., 178, 203 (1999).

20Z.T. Chowhan, Drug Dev. Ind. Pharm, 5, 41 (1979).

21G.R.B. Down and J.N. McMullen, Powder Technol., 42, 169 (1985).

22J.F. Letavernier, M. Aubert, G. Ripoche et F. Pellerin, Ann. Pharm. Franc., 43, 117, (1985).

23K.J. Mulligan, T.W. Brueggemeyer, D.F. Crockett, J.B. Shepman, J. Chrom., 686, 85 (1996).

24K.J. Mulligan and H. McCaulay, J. Chrom. Sci., 33, 49 (1995).

25D.R. Morello and R.P. Meyers, J. Forensic Sci, JFSCA, 40(6), 957 (1995).

26A.C. Cartwright, Int. Pharm. J., 4, 146 (1990).

27.1Procedure for setting limits for organic volatile solvents with methylene chloride as an example of the process, Pharm. For., 15, 5748 (1989).

27.2D. Galer, R.H. Ku, C.S. Schwartz, Pharm. For., 17, 1443 (1991).

27.3L. Brooks, J.S. Mehring, Pharm. For., 16, 550 (1990).

27.4B.D. Naumann, E.V. Sargent, Pharm. For., 16, 573 (1990).

27.5G.L. Sprague, S. Beecham-K., D.L. Conine, Pharm. For., 16, 543 (1990).

28A. Picot, Information Toxicologique n° 3, Unité de prévention du risque chimique - CNRS (France) (1995).

29J. Belegaud, Communication personnelle (1997).

30H.H. Cornish, B.P. Ling and M.L. Barth, Amer. Ind. Hyg. Ass. J., 34, 487 (1973).

31K. Morpoth, U. Witting and M. Springorum, Int. Arch. Arveits Med., 33, 315 (1974).

32J.W. Hayden and E.G. Comstock, Clinical Toxicology, 9, 164 (1976).

33M.J. Archieri, H. Janiaut, A. Picot, L’Actualité Chimique, Mai-Juin, 241 (1992).

34Le Goff - Les risques physicochimiques et toxiques des solvants - Communication personnelle

35M.G. Vachon, J.G. Nain, J. Microencapsul., 12, 287 (1995).

36H.W. Ardovich, M.J. Lebelle, C. Savard, W.L. Wilson, Forensic. Sci. Int., 49, 225 (1991).

37J. Haslam and A.R. Jeffs, Analyst, 83, 455 (1958).

38J.A. Hudy, J. Gas Chromatogr., 4, 350 (1966).

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1147

39M. Suzuki, S. Tsuge and T. Takeuchi, Anal. Chem., 42, 1705 (1970).

40K. Grob, J. Chrom., 84, 255 (1973).

41T.K. Natishan and Y. Wu, J. Chromatogr., A800, 275 (1998).

42Q. Chanli, K.A. Cohen and G. Zhuang, J. Chrom. Sci., 36, 119 (1998).

43T.K. Chen, J.G. Phillips and W. Durr, J. Chromatogr., A811, 145 (1998).

44J.P. Guimbard, M. Person and J.P. Vergnaud, J. Chromatogr., 403, 109 (1987).

45Progress report of the working party on residual solvents (technical) of the European Pharmacopoeia Commission, Pharmeuropa, 8, 586 (1996).

46V.J. Naughton, Pharm. Forum, 20, 7223 (1994).

47M. de Smet, K. Roels, L. Vanhoof and W. Lauwers, Pharm. Forum, 21, 501 (1995).

48B. Kolb, Chromatographia, 10, 587 (1982).

49C. MacAullife, Chem. Tech., 46, 51 (1971).

50J.P. Guimbard, J. Besson, S. Beaufort, J. Pittie et M. Gachon, S.T.P. Pharma Pratiques, 1(3), 272 (1991).

51P. Klaffenbach, C. Brüse, C. Coors, D. Kronenfeld and H.G. Schulz, LC-GC, 15, 1052 (1997).

52P. Kuran and L. Sojak, J. Chromatogr., A773, 119 (1996).

53C.C. Camarasu, M. Mezei-Szüts, G. Bertok Varga, J. Pharm. Biomed. Anal., 18, 623 (1998).

54R.J. Bartelt, Anal. Chem., 69, 364 (1997).

55F.J. Santos, M.T. Galceram and D. Fraisse, J. Chromatogr., 742, 181 (1996).

56M. Markelov and J.P. Guzowski, Anal. Chim. Acta, 276, 235 (1993).

57G. Castello, S. Vezzani and T.C. Gerbino, J. Chromatogr., 585, 273 (1991).

58K. Brinkmann and S. Ebel, Pharm. Ind., 61, 263 (1999).

59K. Brinkmann and S. Ebel, Pharm. Ind., 61, 372 (1999).

60W.D. Bowers, M.L. Parsons, R.E. Clement, G.A. Eiceman and F.W. Karaseck, J. Chromatogr., 206, 279 (1981).

61C.N. Kunigami, M.S. Sanctos, M. Helena, W. Morelli-Cardoro, J. High Resol. Chromatogr., 22, 477 (1999).

62D.G. Westmorland, G.R. Rhodes, Pure Appl. Chem., 61, 1148 (1989).

63Validation of analytical methods: Methodology, Pharmeuropa, 8, 114 (1996).

64R.B. George and P.D. Wright, Anal. Chem., 69, 2221 (1997).

65G. Wynia, P. Post, J. Broersten and F.A. Maris, Chromatographia, 39, 355 (1994).

66R.J. Markovitch, S. Ong and J. Rosen, J. Chromatogr. Sci., 35, 584 (1997).

67M. Desmet, K. Roels, L. Vanhoof and W. Lauwers, Pharm. Forum, 21, 501 (1995).

68C.M. Riley, Statistical parameters and analytical figures of Merit in Development and Validation of Analytical Methods, C.M. Riley and T.W. Rosanske, Ed., Pergamon, 1996, pp15-72.

69European Pharmacopoeia, Addendum 2000, pp31-36. [Please note that information concerning residual solvents are susceptible to be modified in the successive editions of the European Pharmacopeia.]

70Progress report of the working party on residual solvent (Technical) of the European Pharmacopoeia Commission, Pharmeuropa, 8, 586 (1996).

71Note for Guidance on impurities: Residual solvents, Drugs made in Germany, 41, 98 (1998).

17

Environmental Impact of

Solvents

17.1THE ENVIRONMENTAL FATE AND MOVEMENT OF ORGANIC SOLVENTS IN WATER, SOIL, AND AIRa

William R. Roy

Illinois State Geological Survey, Champaign, IL, USA

17.1.1 INTRODUCTION

Organic solvents are released into the environment by air emissions, industrial and waste-treatment effluents, accidental spillages, leaking tanks, and the land disposal of sol- vent-containing wastes. For example, the polar liquid acetone is used as a solvent and as an intermediate in chemical production. ATSDR1 estimated that about 82 million kg of acetone was released into the atmosphere from manufacturing and processing facilities in the U.S. in 1990. About 582,000 kg of acetone was discharged to water bodies from the same type of facilities in the U.S. ATSDR2 estimated that in 1988 about 48,100 kg of tetrachloroethylene was released to land by manufacturing facilities in the U.S.

Once released, there are numerous physical and chemical mechanisms that will control how a solvent will move in the environment. As solvents are released into the environment, they may partition into air, water, and soil phases. While in these phases, solvents may be chemically transformed into other compounds that are less problematic to the environment. Understanding how organic solvents partition and behave in the environment has led to better management approaches to solvents and solvent-containing wastes. There are many published reference books written about the environmental fate of organic chemicals in air, water, and soil.3-7 The purpose of this section is to summarize the environmental fate of six groups of solvents (Table 17.1.1) in air, water, and soil. A knowledge of the likely pathways for the environmental fate of organic solvents can serve as the technical basis for the management of solvents and solvent-containing wastes.

aPublication authorized by the Chief, Illinois State Geological Survey

1150

William R. Roy

Table 17.1.1. The six groups of solvents discussed in this section

 

 

Alcohols

Chlorinated Fluorocarbons

n-Butyl alcohol

Trichlorofluoromethane (F-11),

Isobutyl alcohol

1,1,2,2-Tetrachloro-1,2-difluoroethane ( F-112)

Methanol

1,1,2-Trichloro-1,2,2-trifluoroethane (F-113)

 

1,2,-Dichlorotetrafluoroethane (F-114)

Benzene Derivatives

 

Benzene

Ketones

Chlorobenzene

Acetone

o-Cresol

Cyclohexanone

o-Dichlorobenzene

Methyl ethyl ketone

Ethylbenzene

Methy isobutyl ketone

Nitrobenzene

 

Toluene

Others

o-Xylene

Carbon disulfide

 

Diethyl ether

Chlorinated Aliphatic Hydrocarbons

Ethyl acetate

Carbon tetrachloride

Hexane

Dichloromethane

Decane (a major component of mineral spirits)

Tetrachloroethylene

Pyridine

1,1,1-Trichloroethane

Tetrahydrofuran

Trichloroethylene

 

17.1.2 WATER

17.1.2.1 Solubility

One of the most important properties of an organic solvent is its solubility in water. The greater a compound's solubility, the more likely that a solvent or a solvent-containing waste will dissolve into water and become part of the hydrological cycle. Hence, water solubility can affect the extent of leaching of solvent wastes into groundwater, and the movement of dissolved solvent into rivers and lakes. Aqueous solubility also determines the efficacy of removal from the atmosphere through dissolution into precipitation. The solubility of solvents in water may be affected by temperature, salinity, dissolved organic matter, and the presence of other organic solvents.

17.1.2.2 Volatilization

Solvents dissolved in water may volatilize into the atmosphere or soil gases. A Henry's Law constant (KH) can be used to classify the behavior of dissolved solvents. Henry's Law describes the ratio of the partial pressure of the vapor phase of an ideal gas (Pi) to its mole fraction (Xi) in a dilute solution, viz.,

KH (i ) = Pi / X i

[17.1.1]

In the absence of measured data, a Henry's Law constant for a given solvent may be estimated by dividing the vapor pressure of the solvent by its solubility in water (Si) at the same temperature;

KH(i) = Pi (atm) / Si (mol/m3 solvent)

[17.1.2]

A KH value of less than 10-4 atm-mol/m3 suggests that volatilization would probably not be a significant fate mechanism for the dissolved solvent. The rate of volatilization is

17.1 The environmental fate and movement of organic solvents

1151

more complex, and depends on the rate of flow, depth, and turbulence of both the body of water and the atmosphere above it. In the absence of measured values, there are a number of estimation techniques to predict the rate of removal from water.8

17.1.2.3 Degradation

The disappearance of a solvent from solution can also be the result of a number of abiotic and biotic processes that transform or degrade the compound into daughter compounds that may have different physicochemical properties from the parent solvent. Hydrolysis, a chemical reaction where an organic solvent reacts with water, is not one reaction, but a family of reactions that can be the most important processes that determine the fate of many organic compounds.9 Photodegradation is another family of chemical reactions where the solvent in solution may react directly under solar radiation, or with dissolved constituents that have been made reactive by solar radiation. For example, the photolysis of water yields a hydroxyl radical:

H2O + hν → HO • +H

[17.1.3]

Other oxidants such as peroxy radicals (RO2r) and ozone can react with solvents in water. The subject of photodegradation is treated in more detail under atmospheric processes (17.1.4).

Biodegradation is a family of biologically mediated (typically by microorganisms) conversions or transformations of a parent compound. The ultimate end-products of biodegradation are the conversion of organic compounds to inorganic compounds associated with normal metabolic processes.10 This topic will be addressed under Soil (17.1.3.3).

17.1.2.4 Adsorption

Adsorption is a physicochemical process whereby a dissolved solvent may be concentrated at solid-liquid interfaces such as water in contact with soil or sediment. In general, the extent of adsorption is inversely proportional to solubility; sparingly soluble solvents have a greater tendency to adsorb or partition to the organic matter in soil or sediment (see Soil, 17.1.3.2).

17.1.3 SOIL

17.1.3.1 Volatilization

Volatilization from soil may be an important mechanism for the movement of solvents from spills or from land disposed solvent-containing wastes. The efficacy and rate of volatilization from soil depends on the solvent's vapor pressure, water solubility, and the properties of the soil such as soil-water content, airflow rate, humidity, temperature and the adsorption and diffusion characteristics of the soil.

Organic-solvent vapors move through the unsaturated zone (the interval between the ground surface and the water-saturated zone) in response to two different mechanisms; convection and diffusion. The driving force for convective movement is the gradient of total gas pressure. In the case of diffusion, the driving force is the partial-pressure gradient of each gaseous component in the soil air. The rate of diffusion of a solvent in bulk air can be described by Fick's Law, viz.,

Q = −Df a

[17.1.4]

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