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Studying heat transfer problems of supercritical water the pressure dependency of thermophysical parameters (density, specific heat, viscosity, and thermal conductivity) and the work done by pressure are often neglected. Here we show that the variations of some physical parameters as functions of pressure have the same order of magnitude than their variations as functions of temperature in supercritical water Therefore, pressure dependency of physical parameters should be taken into account in heat transfer calculations of supercritical water It is also pointed out that the work done by pressure should not be neglected in supercritical water since the pressure work term has the same order of magnitude than the convective term near the pseudo critical temperature. [ABSTRACT FROM AUTHOR]