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

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254 8 Effects <strong>of</strong> Temperature on Sorption <strong>and</strong> Diffusion <strong>of</strong> <strong>Solute</strong>s <strong>and</strong> Penetration <strong>of</strong> <strong>Water</strong><br />

8.5.1 EP, ED <strong>and</strong> ∆HS Measured with Synthetic Polymers<br />

Doty et al. (1946) measured water vapour permeability <strong>of</strong> a number <strong>of</strong> synthetic<br />

polymers in the temperature range between zero <strong>and</strong> 60 ◦ C. PHg was calculated from<br />

the steady state increase in vapour pressure on the receiver side. We converted these<br />

PHg values to Pwv as explained in Chap. 3. Temperature effects were analysed using<br />

the Arrhenius equation (8.15). <strong>Water</strong> permeability <strong>of</strong> most polymers increased with<br />

temperature, but slopes <strong>of</strong> Arrhenius plots differ greatly (Fig. 8.8). All slopes are linear,<br />

<strong>and</strong> there are no kinks visible. Polystyrene has the highest permeability (Pwv),<br />

<strong>and</strong> between 25 <strong>and</strong> 45 ◦ C permeability was not affected by temperature. Polyvinylidene<br />

chloride has the lowest Pwv <strong>and</strong> the steepest Arrhenius slopes. Pwv varied<br />

among polymers by a factor <strong>of</strong> 440. EP varied from about zero (polystyrene) to<br />

85kJ mol −1 (polyvinylidene chloride), <strong>and</strong> the pre-exponential factor log Po varied<br />

among polymers by orders <strong>of</strong> magnitude from 4 to −9 (m 2 s −1 ).<br />

There was a good(r 2 = 0.95) negative linear correlation between EP <strong>and</strong> log Pwv.<br />

The regression equation EP = −31.7 ×log Pwv −291 was calculated from the data<br />

in Fig. 8.8. A similar dependence was observed with plant CM, where Hedera helix<br />

had the lowest permeance <strong>and</strong> the highest EP (62kJ mol −1 ), while Forsythia <strong>and</strong><br />

Vicia had the highest permeance <strong>and</strong> the lowest EP <strong>of</strong> 27kJ mol −1 (Schreiber 2001).<br />

log P wv (m 2 /s)<br />

-9.0<br />

-9.5<br />

-10.0<br />

-10.5<br />

-11.0<br />

-11.5<br />

Temperature (∞C)<br />

60 50 40 30 21 13 5 -3<br />

Polystyrene<br />

PVC-Ac<br />

PVC-Ac<br />

PVC<br />

-12.0<br />

3.0 3.1 3.2 3.3 3.4 3.5 3.6 3.7<br />

PE<br />

1/T x 1000 (Kelvin -1 )<br />

PE<br />

Rubber hydrochloride<br />

Polyvinylidene chloride<br />

Fig. 8.8 Arrhenius plots showing the effect <strong>of</strong> temperature on water vapour permeability (Pwv in<br />

m 2 s −1 ). Two lots <strong>of</strong> polyvinyl chloride-acetate copolymer (PVC-Ac) <strong>and</strong> polyethylene (PE) were<br />

used. PVC is polyvinyl chloride. Data from Doty et al. (1946) were re-calculated <strong>and</strong> re-plotted

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