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Proceedings e report - Firenze University Press

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SORPTION OF MOISTURE AND DIMENSIONAL CHANGE OF WOOD SPECIES USED IN HISTORIC OBJECTS<br />

water vapour were introduced, and the respective mass increases due to the sorption and the respective<br />

equilibrium pressures were recorded. Samples were considered to have reached equilibrium when the<br />

weight changes were less than 0.05% in 40 minutes. The equilibrium moisture contents (EMC) were<br />

calculated on the basis of the initial weight of the out-gassed sample.<br />

The dimensional change of wood accompanying water vapour sorption was measured in the radial and<br />

tangential directions using two inductive transducers of accuracy 2 μm. The dimensions of wood<br />

specimens coincided with the principal anatomical directions in wood – radial 2 cm x tangential 2 cm<br />

x longitudinal 0.5 cm. The measurements were taken in a specially built specimen holder placed in a<br />

vacuum vessel. The vessel was connected to the same outgassing and water vapour dosing system<br />

which was used to determine water vapour sorption isotherms; in fact the two measurements were<br />

taken simultaneously. Both absorption and desorption branches of the sorption and dimensional<br />

change isotherms were recorded. The process was fully automated and rapid - measuring of 10<br />

adsorption and 10 desorption points took on average 15 hours.<br />

After the measurements of dimensional changes induced by water vapour sorption and desorption,<br />

each wood specimen was immersed in distilled water until full saturation. At the saturation state, its<br />

dimensions were measured with a micrometer.<br />

3. Sorption isotherms<br />

The sorption of water on wood can be described by sigmoid shape of the type II isotherm in the<br />

IUPAC 1985 classification [3]. It indicates the monolayer-multilayer physisorption in which an<br />

adsorbed surface layer progressively thickens as the vapour pressure is increased up to the saturation<br />

pressure, close to which the adsorbed layer becomes a bulk liquid. The three-parameter Guggenheim-<br />

Andersen-de Boer sorption equation [4] is used to interpret the sorption data for wood by expressing<br />

the equilibrium moisture content as a function of water vapour activity:<br />

vcka m 0<br />

va ( 0)<br />

=<br />

(1)<br />

(1 − ka )(1 + ( c −1)<br />

ka )<br />

0 0<br />

where a0 is water vapour activity taken equal to p/p0 where p is the experimental partial water vapour<br />

pressure and p0 its value at saturation (thus if RH is the relative humidity expressed as a percentage a0<br />

= RH/100), v the amount water vapour sorbed by a gram of wood at water vapour activity a0, vm the<br />

monolayer capacity in the same units as v, c - energy constant related to the difference of free enthalpy<br />

of water molecules in the liquid state and in the monolayer, and k - the third parameter, characterizing<br />

the state of the sorbed molecules beyond the first layer. The usefulness of the GAB model in the wood<br />

science has been demonstrated [5].<br />

In the present study, the GAB constants were determined by a least-squares regression of the GAB<br />

relation for a0 < 0.85, identified as the applicability interval. The regression was performed separately<br />

for the adsorption and desorption branches. By way of example, the experimental data for water<br />

vapour sorption by the lime wood are compared in Fig. 1 with curves calculated using the GAB<br />

equation. RH scale is used on the ordinate axis of the plot. The GAB constants for adsorption and<br />

desorption for the lime wood, as well as 20 other wood species investigated, are given in Table 1.<br />

As one can see in Fig. 1, the applicability range for the GAB equation for the adsorption branch is<br />

0.05

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