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Water and Solute Permeability of Plant Cuticles: Measurement and ...

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Appendix A 277<br />

Symbols (continued)<br />

Symbol Quantity Magnitude<br />

∆H Enthalpy change kJmol −1<br />

η viscosity Pa s<br />

J Mass flux kgm −2 s −1<br />

Jv Volume flux <strong>of</strong> gas or vapour m 3 (STP)m −2 s −1<br />

Js <strong>Solute</strong> flux molm −2 s −1<br />

Jw Mass flux <strong>of</strong> water kgm −2 s −1<br />

Jwv Mass flux <strong>of</strong> water vapour kgm −2 s −1<br />

K Partition coefficient –<br />

KHg <strong>Water</strong> partition coefficient calculated as<br />

PHg/D<br />

–<br />

Kw <strong>Water</strong> partition coefficient cm 3 liquid water cm −3 polymer<br />

Kwrec<br />

<strong>Solute</strong> partition coefficient between CM, MX,<br />

or wax <strong>and</strong> aqueous solutions<br />

Kwv <strong>Water</strong> vapour partition coefficient cm 3 vapour cm −3 polymer<br />

Kow Octanol/water partition coefficient –<br />

Kcw CM/water partition coefficient –<br />

Kmxw MX/water partition coefficient –<br />

Kcuw Cutin/water partition coefficient –<br />

Kww Wax/water partition coefficient –<br />

k Mass transfer coefficient s−1 k ∗<br />

UDOS mass transfer coefficient s−1 k ∗<br />

o UDOS mass transfer coefficient <strong>of</strong> a solute<br />

having zero molar volume<br />

s−1 k ∗<br />

infinite Pre-exponential factor <strong>of</strong> the Arrhenius<br />

equation ln k ∗ vs.1/T<br />

s−1 k Slope <strong>of</strong> the Freundlich isotherm<br />

k ′ Slope <strong>of</strong> the modified Freundlich isotherm<br />

ℓ Membrane thickness m<br />

λ Mean free path <strong>of</strong> solute in polymers m<br />

m Mass kg<br />

M Amount mol<br />

µ Chemical potential <strong>of</strong> solvent or solute –<br />

N Mole fraction –<br />

P <strong>Permeability</strong> <strong>of</strong> a membrane <strong>of</strong> 1 m thickness m 2 s −1<br />

Pw<br />

<strong>Water</strong> permeability <strong>of</strong> a membrane having<br />

1 m thickness calculated using aw as<br />

driving force<br />

–<br />

m 2 s −1<br />

Pwv <strong>Water</strong> vapour permeability <strong>of</strong> a membrane<br />

having 1 m thickness calculated using Cwv<br />

as driving force<br />

P Permeance <strong>of</strong> a membrane ms−1 PHg Permeance calculated using a vapour pressure<br />

<strong>of</strong> 1 cm Hg as driving force. Usually for a<br />

membrane having ℓ = 1cm<br />

<strong>Water</strong> permeance calculated using aw as ms−1 Pw<br />

Pwv<br />

driving force<br />

<strong>Water</strong> vapour permeance calculated using<br />

water vapour concentration (Cwv) as<br />

driving force<br />

m 2 s −1<br />

cm 3 vapour (STP) cm −2 s −1<br />

ms −1<br />

(continued)

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