On the thermodynamic equilibrium between ice and electrolyte solutions in the conditions of confined geometry

Abstract

For a small volume (of about 10 −6 cm 3) of NaCl and other electrolyte solutions ( C = 0.1 and 1 M) in thin ( r = 5/10 μm) single quartz capillaries, dependencies of the column length l of frozen solutions on the temperature t were measured using comparator IZA-2 in a thermostated chamber. At temperatures range t > −4 °C (for C = 0.1 M) and t > −8 °C (for C = 1 M) the l( t) dependencies are reversible and therefore correspond to establishment of an equilibrium between ice-1 and the solution. From the constants mass condition of the dissolved salt in a frozen column, the l( t) expression was derived, which includes thermodynamic relation between solution concentration in an equilibrium with ice, C s, and the temperature t for bulk systems. Deviations from the data known for bulk solutions were observed in thin capillaries when temperature t decreased to −3 °C (for 0.1 M NaCl) and to −6 °C for 1 M NaCl solution. This effect may be a result of strong adhesion of the ice column to capillary walls. In this case, some internal stresses arise in frozen solution resulting in a deviation from thermodynamic equilibrium conditions for bulk systems. When approaching the temperature of ice melting, adhesion forces decrease due to formation of a thin non-freezing water interlayer on the capillary wall. In this temperature range the experimental data are in agreement with the predictions for bulk systems. It was supposed that the observed deviation in thin capillaries may be caused by formation of an amorphous ice phase with higher density as compared with the ice-1 during rapid freezing, or by an effect of ice microlenses formation. Both effects will result in a deviation from the phase diagram corresponding to a bulk solution.