Partition Coefficient (Log P) Calculator
Calculate the partition coefficient P and log P between two immiscible phases.
Find extraction efficiency and number of extractions needed for complete separation.
The partition coefficient (P or K_D) describes how a compound distributes between two immiscible solvents at equilibrium. Log P is the most commonly used form in chemistry and pharmacy.
Definition:
P = [solute]_organic / [solute]_aqueous
log P = log₁₀(P)
For octanol-water system (standard in pharmacology):
- log P < 0: Compound is more hydrophilic (water-loving)
- log P 0–3: Moderate lipophilicity — good oral drug absorption range
- log P > 3: Highly lipophilic (fat-loving) — poor water solubility
- log P > 5: Very lipophilic — poor bioavailability, accumulates in fat
Lipinski’s Rule of Five (drug-likeness): For oral bioavailability, a drug should have:
- MW ≤ 500 g/mol
- log P ≤ 5
- H-bond donors ≤ 5
- H-bond acceptors ≤ 10
Liquid-liquid extraction efficiency:
For a single extraction with volumes V_org and V_aq:
Fraction extracted = P × V_org / (P × V_org + V_aq)
E (%) = 100 × P × V_org / (P × V_org + V_aq)
Multiple extractions: After n extractions, fraction remaining in aqueous phase:
f_remaining = (V_aq / (P × V_org + V_aq))^n
Why multiple small extractions beat one large extraction: By Craig’s theorem, n extractions with volume V/n each are more efficient than one extraction with volume V (for P > 1 systems).
Distribution coefficient (D) at specific pH:
For weak acids/bases, pH affects the ionization and thus the apparent partition:
D = P × f_unionized
For a weak acid (pKa known):
D = P / (1 + 10^(pH - pKa))
For a weak base:
D = P / (1 + 10^(pKa - pH))
Common log P values:
| Compound | log P |
|---|---|
| Ethanol | −0.31 |
| Aspirin | 1.19 |
| Ibuprofen | 3.97 |
| Caffeine | −0.07 |
| Testosterone | 3.32 |
| Chloroform | 1.97 |
| Benzene | 2.13 |
| Cholesterol | 8.74 |