A Study on the Thermodynamic Limit of Superheat of Refractory Metals

The thermodynamic limit of superheat of titanium, zirconium, hafnium, vnadium, niobium, tantalum, chromium, molybdenum, and tungsten is determined using a new three-parameter generalized Berthelot equation of state. The results of the determination of the thermodynamic limit of superheat of liquid titanium, zirconium, hafnium, vanadium, niobium, tantalum, chromium, molybdenum and tungsten are in agreement with experimental data. The given study establishes that liquid titanium, zirconium, hafnium, vanadium, niobium, tantalum, chromium, molybdenum and tungsten can be superheated up to temperatures of 10736K, 13430K, 11263K, 11404K, 8685K, 8049K, 8787K, 10394K, 12748K, respectively. Moreover, titanium, zirconium, hafnium. vanadium, niobium, tantalum, chromium, molybdenum and tungsten have been found to obey the single-parameter law of corresponding states, with the thermodynamic limit of superheat as the thermodynamic similarity parameter. It is shown that the substances obeying the generalized Berthelot equation of state exhibit considerable uniformity when their thermodynamic properties are expressed in a suitable reduced form.