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We have studied the pressure and temperature dependence of solubility ofnitrogen in methane and ethane using vapor-liquid equilibrium simulations ofbinary mixtures of nitrogen in methane and ethane for a range of pressuresbetween 1.5 atm and 3.5 atm and temperatures between 90 K and 110 K,thermodynamic conditions that may exist on the Saturn's moon, Titan. We findthat the solubility of nitrogen in methane increases linearly with pressurewhile the solubility of nitrogen in ethane increases exponentially withpressure at temperature 90 K. Solubility of nitrogen in both methane and ethaneexhibits an exponential decrease with temperature at a pressure of 3 atm. Thesolubility of nitrogen in methane is much larger compared to that in ethane inthe range of pressure and temperature studied here. Our results are inquantitative agreement with the available experimental measurements of thesolubility of nitrogen in methane and ethane. Furthermore, we find that thesurface adsorption of nitrogen increases with increasing pressure attemperature 90 K, while the adsorption free energy increases with increasingpressure. Moreover, we find that the surface tension decreases linearly withpressure for both nitrogen-methane and nitrogen-ethane systems. The rate ofdecrease of surface tension with pressure for nitrogen-ethane system is muchlarger as compared to the nitrogen-methane system. Finally, we find that theabsorption of a nitrogen molecule into the liquid-phase from the interface isdiffusive and does not involve any appreciable energy barrier. Our resultssuggest that homogeneous nucleation of bubbles is unlikely on Titan and thebubble formation in the lakes on Titan must arise from heterogeneous nucleationof bubbles.

Pressure and temperature dependence of solubility and surface adsorption of nitrogen in the liquid hydrocarbon bodies on Titan