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We introduce a new thermodynamic function for phase-split computations at constant temperature, moles, and volume. The new volume function F i introduced in this work is a natural choice under these conditions. Phase equilibrium conditions in terms of the volume functions are derived using the Helmholtz free energy. We present a numerical algorithm to investigate two-phase equilibrium based on the fixed point iteration and Newton method. We demonstrate usefulness and powerful features of the new thermodynamic function for a number of examples in two-phase equilibrium calculations.

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