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Importance of
Partition Coefficient for
Method development of
Residual solvents by
HSGC
(Ankur Gupta)
Ph.D(Chemistry)
• Partition coefficient
• Sample volume in HS vial
• Temperature of HS oven
• Modification of Sample matrix
INDEX
The partition coefficient is defined
as the equilibrium distribution of an
analyte between the sample and
gas phase.
Where:
K is the partition coefficient
CS is the concentration of that
compound in the sample (liquid)
phase
CG is the concentration of that
compound in the gas (headspace)
phase
PARTITION COEFFICIENT
The phase ratio (β) is defined as the
volume of the headspace over the
volume of the sample in the vial.
Where:
β is the phase ratio
VS is the volume of the sample (liquid) phase
VG is the volume of the gas (headspace) phase
PHASE RATIO
Where:
C0 is the concentration of compound
in the original sample before analysis
Relation between Partition
coefficient and Phase ratio
Partition coefficients of various
compounds between water and
air phases at 60 °C
Compound K
Dioxane 642
Ethanol 511
Isopropyl alcohol 286
n-Butanol 238
Methyl ethyl ketone 68.8
Ethyl acetate 29.3
n-Butyl acetate 13.6
Benzene 2.27
Toluene 1.77
o-Xylene 1.31
Dichloromethane 3.31
1,1,1-Trichloroethane 1.47
Tetrachloroethylene 1.27
n-Hexane 0.043
Cyclohexane 0.04
Example-1:
Analyte Ethanol Ethanol
Co 5000 5000
K 511 511
VG 19.5 15
VS 0.5 5
Condition Diluent is water at 60°C in
20 ml vial
SAMPLE VOLUME IN HS VIAL
Conclusion: If value of K is high,
adjusting β value (sample volume) will
have a minor effect in the HS phase.
(for 0.5 ml sample
volume)
(for 5 ml sample
volume)
CG =
5000 5000
511+(19.5/0.5) 511+(15/5)
CG =
5000 5000
511+39 511+3
CG =
5000 5000
550 514
CG = 9.09 9.72
Example-2:
Analyte n-Hexane n-Hexane
Co 290 290
K 0.043 0.043
VG 19.5 15
VS 0.5 5
Condition Diluent is water at 60°C in
20 ml vial
SAMPLE VOLUME IN HS VIAL
Conclusion: If value of K is low,
adjusting β value (sample volume) will
have a major effect in the HS phase.
(for 0.5 ml sample
volume)
(for 5 ml sample
volume)
CG =
290 290
0.043+(19.5/0.5) 0.043+(15/5)
CG =
290 290
0.043+39 0.043+3
CG =
290 290
39.043 3.043
CG = 7.42 95.3
Figure-1 . Headspace concentration versus
sample volume for Ethanol in water at 60
°C (K=511) in a 22 mL vial.
Figure-2 . Headspace concentration versus
sample volume for toluene in water at 60 °C
(K=1.77) in a 22 mL vial.
Figure 3. Headspace concentration versus
sample volume for n-hexane in water at 60
°C (K=0.043) in a 22 mL vial.
The partition coefficient of a
compound in the sample is related
to the inverse its vapor pressure.
Vapor pressure increases with
temperature and so the value of K
will decrease and more of the
compound will pass into the
headspace phase.
(Hot liquids will quickly release
dissolved volatile compounds).
TEMPERATURE Of HS OVEN
Partition coefficients of various
compounds between water and air phases
over a range of temperatures.
Compound 40 °C 60 °C 70 °C 80 °C
Dioxane 1618 642 412 288
Ethanol 1355 511 328 216
Isopropyl alcohol 825 286 179 117
n-Butanol 647 238 149 99
Methyl ethyl ketone 139.5 68.8 47.7 35
Ethyl acetate 62.4 29.3 21.8 17.5
n-Butyl acetate 31.4 13.6 9.82 7.58
Benzene 2.9 2.27 1.71 1.66
Toluene 2.82 1.77 1.49 1.27
o-Xylene 2.44 1.31 1.01 0.99
Dichloromethane 5.65 3.31 2.6 2.07
1,1,1-Trichloroethane 1.65 1.47 1.26 1.18
Tetrachloroethylene 1.48 1.27 0.78 0.87
n-Hexane 0.14 0.043 0.012
Cyclohexane 0.077 0.040 0.03 0.023
Example-1:
Analyte Ethanol Ethanol
Co 5000 5000
K 328 328
VG 19.5 15
VS 0.5 5
Condition Diluent is water at 70°C
in 20 ml vial
TEMPERATURE Of HS OVEN
(for 0.5 ml sample
volume)
(for 5 ml sample
volume)
CG =
5000 5000
328+(19.5/0.5) 328+(15/5)
CG =
5000 5000
328+39 328+3
CG =
5000 5000
367 331
CG = 13.6 15.1
Example-2:
Analyte n-Hexane n-Hexane
Co 290 290
K 0.012 0.012
VG 19.5 15
VS 0.5 5
Condition Diluent is water at 70°C
in 20 ml vial
TEMPERATURE Of HS OVEN
(for 0.5 ml sample
volume)
(for 5 ml sample
volume)
CG =
290 290
0.021+(19.5/0.5) 0.021+(15/5)
CG =
290 290
0.021+39 0.021+3
CG =
290 290
39.021 3.021
CG = 7.43 96.28
The HS concentration is highly affected by
a change in temperature for a compound
with high value of K.
When value of K is low, there is only minor
changes in the HS concentration.
Details Ethanol n-Hexane
0.5 ml at 60°C 9.09 7.42
0.5 ml at 70°C 13.6 7.43
5 ml at 60°C 9.72 95.3
5 ml at 70°C 15.1 96.28
EFFECT OF VOLUME &
TEMPERATURE
Figure 4. Headspace concentration
versus temperature for ethanol in water.
Figure 5. Headspace concentration versus
temperature for toluene in water.
Figure 6. Headspace concentration
versus temperature for n-hexane in
water.
Q-1: Usage of salt?
Q-2: Usage of water?
Q-3: As a result, recovery higher or
lower side?
MODIFICATION OF
SAMPLE MATRIX
The addition of salts or solvents
(modifiers) to the sample matrix are
chosen to increase the activity
coefficients and so decrease the
partition coefficients and cause more of
the compound to pass into the
headspace phase.
MODIFICATION OF
SAMPLE MATRIX
Table . Potential increase in the concentration
of Ethanol in the headspace phase after adding
salt modifiers to water samples.
EFFECT OF MODIFYING THE
SAMPLE MATRIX
Salt
Increase in
Concentration
Ammonium sulfate x5
Sodium chloride x3
Potassium carbonate x8
Ammonium chloride x2
Sodium citrate x5
The presence of water has a major impact
on the inter-molecular activity within the
same causing a very large increase in the
activity coefficients causing these apparent
increases in headspace concentration.
Table: effect of adding water to solutions of
various analytes in (DMF).
% Water Butyl
in DMF Acrylonitrile n-Butanol Acrylate Styrene
0 12 2 3 4
10 18 3 7 9
20 25 5 15 21
30 45 9 51 81
40 58 14 83 144
50 71 18 122 227
60 87 23 179 344
70 105 30 243 458
80 118 37 280 556
90 119 45 307 504
100 139 51 334 600
• Reduce solubility of the analyte in the matrix.
• In case of aqueous solutions of polar compounds, add
electrolyte to the sample.
• Polar compounds with an active hydrogen (DCM & HX)
are more effected than the non polar compounds
(CCL4)
• The sensitivity is not only influenced by salting out
effect alone; there is an additional volume effect
involved which is widely ignored.
• Strong salt concentrations increase the viscosity of
water samples and therefor prolong the necessary
thermostating time.
Salting Effect
• High value of K will favor the liquid phase.
• Low value of K will favor the headspace phase.
• if K is less than 1 then the analyte favors the
headspace while if K greater than 1, the analyte favors
the liquid phase.
• The values of K for the analytes < unwanted
components in the sample matrix.
• The value of K will be dependent on both the
compound and the sample matrix and it will also be
strongly affected by temperature.
• the analytical results should be precise and predictable
if sample vial are at equilibrium and equilibrium state is
attained.
Note
THANK YOU

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Understanding important factor during HSGC development

  • 1. Importance of Partition Coefficient for Method development of Residual solvents by HSGC (Ankur Gupta) Ph.D(Chemistry)
  • 2. • Partition coefficient • Sample volume in HS vial • Temperature of HS oven • Modification of Sample matrix INDEX
  • 3. The partition coefficient is defined as the equilibrium distribution of an analyte between the sample and gas phase. Where: K is the partition coefficient CS is the concentration of that compound in the sample (liquid) phase CG is the concentration of that compound in the gas (headspace) phase PARTITION COEFFICIENT
  • 4. The phase ratio (β) is defined as the volume of the headspace over the volume of the sample in the vial. Where: β is the phase ratio VS is the volume of the sample (liquid) phase VG is the volume of the gas (headspace) phase PHASE RATIO
  • 5. Where: C0 is the concentration of compound in the original sample before analysis Relation between Partition coefficient and Phase ratio
  • 6. Partition coefficients of various compounds between water and air phases at 60 °C Compound K Dioxane 642 Ethanol 511 Isopropyl alcohol 286 n-Butanol 238 Methyl ethyl ketone 68.8 Ethyl acetate 29.3 n-Butyl acetate 13.6 Benzene 2.27 Toluene 1.77 o-Xylene 1.31 Dichloromethane 3.31 1,1,1-Trichloroethane 1.47 Tetrachloroethylene 1.27 n-Hexane 0.043 Cyclohexane 0.04
  • 7. Example-1: Analyte Ethanol Ethanol Co 5000 5000 K 511 511 VG 19.5 15 VS 0.5 5 Condition Diluent is water at 60°C in 20 ml vial SAMPLE VOLUME IN HS VIAL
  • 8. Conclusion: If value of K is high, adjusting β value (sample volume) will have a minor effect in the HS phase. (for 0.5 ml sample volume) (for 5 ml sample volume) CG = 5000 5000 511+(19.5/0.5) 511+(15/5) CG = 5000 5000 511+39 511+3 CG = 5000 5000 550 514 CG = 9.09 9.72
  • 9. Example-2: Analyte n-Hexane n-Hexane Co 290 290 K 0.043 0.043 VG 19.5 15 VS 0.5 5 Condition Diluent is water at 60°C in 20 ml vial SAMPLE VOLUME IN HS VIAL
  • 10. Conclusion: If value of K is low, adjusting β value (sample volume) will have a major effect in the HS phase. (for 0.5 ml sample volume) (for 5 ml sample volume) CG = 290 290 0.043+(19.5/0.5) 0.043+(15/5) CG = 290 290 0.043+39 0.043+3 CG = 290 290 39.043 3.043 CG = 7.42 95.3
  • 11. Figure-1 . Headspace concentration versus sample volume for Ethanol in water at 60 °C (K=511) in a 22 mL vial.
  • 12. Figure-2 . Headspace concentration versus sample volume for toluene in water at 60 °C (K=1.77) in a 22 mL vial.
  • 13. Figure 3. Headspace concentration versus sample volume for n-hexane in water at 60 °C (K=0.043) in a 22 mL vial.
  • 14. The partition coefficient of a compound in the sample is related to the inverse its vapor pressure. Vapor pressure increases with temperature and so the value of K will decrease and more of the compound will pass into the headspace phase. (Hot liquids will quickly release dissolved volatile compounds). TEMPERATURE Of HS OVEN
  • 15. Partition coefficients of various compounds between water and air phases over a range of temperatures. Compound 40 °C 60 °C 70 °C 80 °C Dioxane 1618 642 412 288 Ethanol 1355 511 328 216 Isopropyl alcohol 825 286 179 117 n-Butanol 647 238 149 99 Methyl ethyl ketone 139.5 68.8 47.7 35 Ethyl acetate 62.4 29.3 21.8 17.5 n-Butyl acetate 31.4 13.6 9.82 7.58 Benzene 2.9 2.27 1.71 1.66 Toluene 2.82 1.77 1.49 1.27 o-Xylene 2.44 1.31 1.01 0.99 Dichloromethane 5.65 3.31 2.6 2.07 1,1,1-Trichloroethane 1.65 1.47 1.26 1.18 Tetrachloroethylene 1.48 1.27 0.78 0.87 n-Hexane 0.14 0.043 0.012 Cyclohexane 0.077 0.040 0.03 0.023
  • 16. Example-1: Analyte Ethanol Ethanol Co 5000 5000 K 328 328 VG 19.5 15 VS 0.5 5 Condition Diluent is water at 70°C in 20 ml vial TEMPERATURE Of HS OVEN
  • 17. (for 0.5 ml sample volume) (for 5 ml sample volume) CG = 5000 5000 328+(19.5/0.5) 328+(15/5) CG = 5000 5000 328+39 328+3 CG = 5000 5000 367 331 CG = 13.6 15.1
  • 18. Example-2: Analyte n-Hexane n-Hexane Co 290 290 K 0.012 0.012 VG 19.5 15 VS 0.5 5 Condition Diluent is water at 70°C in 20 ml vial TEMPERATURE Of HS OVEN
  • 19. (for 0.5 ml sample volume) (for 5 ml sample volume) CG = 290 290 0.021+(19.5/0.5) 0.021+(15/5) CG = 290 290 0.021+39 0.021+3 CG = 290 290 39.021 3.021 CG = 7.43 96.28
  • 20. The HS concentration is highly affected by a change in temperature for a compound with high value of K. When value of K is low, there is only minor changes in the HS concentration. Details Ethanol n-Hexane 0.5 ml at 60°C 9.09 7.42 0.5 ml at 70°C 13.6 7.43 5 ml at 60°C 9.72 95.3 5 ml at 70°C 15.1 96.28 EFFECT OF VOLUME & TEMPERATURE
  • 21. Figure 4. Headspace concentration versus temperature for ethanol in water.
  • 22. Figure 5. Headspace concentration versus temperature for toluene in water.
  • 23. Figure 6. Headspace concentration versus temperature for n-hexane in water.
  • 24. Q-1: Usage of salt? Q-2: Usage of water? Q-3: As a result, recovery higher or lower side? MODIFICATION OF SAMPLE MATRIX
  • 25. The addition of salts or solvents (modifiers) to the sample matrix are chosen to increase the activity coefficients and so decrease the partition coefficients and cause more of the compound to pass into the headspace phase. MODIFICATION OF SAMPLE MATRIX
  • 26. Table . Potential increase in the concentration of Ethanol in the headspace phase after adding salt modifiers to water samples. EFFECT OF MODIFYING THE SAMPLE MATRIX Salt Increase in Concentration Ammonium sulfate x5 Sodium chloride x3 Potassium carbonate x8 Ammonium chloride x2 Sodium citrate x5
  • 27. The presence of water has a major impact on the inter-molecular activity within the same causing a very large increase in the activity coefficients causing these apparent increases in headspace concentration. Table: effect of adding water to solutions of various analytes in (DMF). % Water Butyl in DMF Acrylonitrile n-Butanol Acrylate Styrene 0 12 2 3 4 10 18 3 7 9 20 25 5 15 21 30 45 9 51 81 40 58 14 83 144 50 71 18 122 227 60 87 23 179 344 70 105 30 243 458 80 118 37 280 556 90 119 45 307 504 100 139 51 334 600
  • 28. • Reduce solubility of the analyte in the matrix. • In case of aqueous solutions of polar compounds, add electrolyte to the sample. • Polar compounds with an active hydrogen (DCM & HX) are more effected than the non polar compounds (CCL4) • The sensitivity is not only influenced by salting out effect alone; there is an additional volume effect involved which is widely ignored. • Strong salt concentrations increase the viscosity of water samples and therefor prolong the necessary thermostating time. Salting Effect
  • 29. • High value of K will favor the liquid phase. • Low value of K will favor the headspace phase. • if K is less than 1 then the analyte favors the headspace while if K greater than 1, the analyte favors the liquid phase. • The values of K for the analytes < unwanted components in the sample matrix. • The value of K will be dependent on both the compound and the sample matrix and it will also be strongly affected by temperature. • the analytical results should be precise and predictable if sample vial are at equilibrium and equilibrium state is attained. Note