The heat capacities of the ternary system of 0.195 mole fraction of ethandiol (ethylene glycol), 0.132 mole fraction of ethanol (ethyl alcohol), and 0.673 mole fraction of water (Le. 0.40, 0.20, and 0.40 mass fraction, respectively) have been measured with an adiabatic calorimeter in the temperature range T = 80 K to T = 350 K. This mixture exhibits complex phase transitions in the solid state. A very broad heat capacity anomaly from T = 130 K to T = 240 K was observed in the heat capacity curve, and three heat capacity peaks were found at T = (149, 170, 186) K, in addition to the melting peak at T = 217.5 K. The corresponding phase transition and fusion enthalpies were determined to be (228+/-10) J . mol(-1), (230+/-8) J . mol(-1), (136+/-8) J . mol(-1), and (260+/-10) J . mol(-1) respectively. Experiments have demonstrated that the cooling rate between 0.1 K . min(-1) and 10 K min-l had no obvious influence on the heat capacity anomaly. The thermal conductivity of this ternary system was measured with an instantaneous heating wire conductometer in the temperature range from T = 233.15 K to T = 343.15 K. All of the heat capacity and thermal conductivity results in the temperature range between T = 221 K and T = 350 K were correlated with temperatures for practical applications.