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Physical bases of freezing point measurement using ... - Boschung

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Proceedings <strong>of</strong> the 9 th SIRWEC Conference 15-17 March 1998, Luleå, Sweden 281<br />

Let us consider now a road where a salt content <strong>of</strong> 20 g/m 2 has been spread. Table 2<br />

gives the <strong>freezing</strong> temperatures for different thicknesses <strong>of</strong> the solution. From -13.9 °C for a<br />

thickness <strong>of</strong> 0.1 mm, the <strong>freezing</strong> temperature increases very quickly to -2.3 °C for a<br />

thickness <strong>of</strong> 0.5 mm!<br />

e [mm] Ts [°C]<br />

0.1 -13.9<br />

0.2 -6.1<br />

0.3 -3.9<br />

0.4 -2.9<br />

0.5 -2.3<br />

Table 2 : dependence <strong>of</strong> the <strong>freezing</strong> temperature on the thickness <strong>of</strong> the solution<br />

for a salt content <strong>of</strong> 20 g/m 2 .<br />

Freezing temperatures are reported versus the thickness <strong>of</strong> the solution for different salt<br />

contents in figure 6. When e increases, the phase diagram <strong>of</strong> figure 5 is gone through from the<br />

right to the left, or in other words, in the direction <strong>of</strong> decreasing NaCl concentrations.<br />

T s [°C]<br />

0<br />

-5<br />

-10<br />

-15<br />

-20<br />

-25<br />

5 g/m 2<br />

e [mm]<br />

0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4<br />

10 g/m 2<br />

20 g/m2<br />

30 g/m 2<br />

40 g/m 2<br />

Figure 6 : dependence <strong>of</strong> Ts on the thickness <strong>of</strong> the solution for different salt contents.<br />

For a given salt constant, the thickness eopt <strong>of</strong> the solutions which gives the best<br />

protection <strong>of</strong> the road, i.e. the NaCl concentration <strong>of</strong> the eutectic, is given by :<br />

e<br />

opt [mm]<br />

ν ( 0. 233)<br />

⋅ s<br />

-3<br />

=<br />

= 3.73⋅10 s 2 . (12)<br />

[ g/m ] 0. 233

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