The solubilities of tetracosane, octacosane, and dotriacontane in ethane were determined at a temperature of 308.15 K and at pressures ranging from 50 bar to 200 bar. A dynamic single-pass flow system was used for this purpose. The extracted solute was dissolved in toluene after depressurizing the supercritical mixture. This method of measuring the solubilities facilitates the collection of dynamic solubility data since the concentration of solute in toluene can be determined as the experiment proceeds. Dynamic sampling provides more reliable and accurate solubility information compared to the conventional methods based on the weight of solute extracted. The experimental solubilities measured in this work are in agreement with most of the previously published data. The solubilities obtained in this work were modeled using the translated Trebble-Bishnoi-Salim (TBS) EOS which correlated the solubility data successfully to within an average error of 6% for all the systems studied.