The solubility of palmitic acid in supercritical carbon dioxide has been determined experimentally in the pressure range (100 to 350) bar and the temperature range (35 to 55) °C. A cubic equation of state and an empirical equation have been used to correlate the solubility of this fatty acid in supercritical carbon dioxide. The first method, which is based on thermodynamic properties, uses two fitting parameters, the solid sublimation pressure and the binary interaction parameter. The sublimation pressure values obtained have been correlated using the Clapeyron equation. The interaction parameter has been correlated as a function of temperature. The empirical method is based on an equation that relates the solubility of the solid with the operation conditions. The empirical and equation of state methods provide good agreement between theory and experimental results for the solubility of palmitic acid in supercritical carbon dioxide.