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In Part 1 of this series of reports, we formulated a novel approach to the thermodynamics of heterogeneous systems completely or partially filled with a liquid substance in plasma state. The approach is based on the use of the Gibbs variational principles, and it enables efforts to address a variety of problems relating to equilibrium and stability of such systems. To develop a quantitative theory based on the relationships established in Part 1, one more critical element is required: the equation of state (EoS) for the substance in the plasma state. In this report, we postulate one such representative EoS that permits analytic study with several essential advantages over purely computer-based studies. We demonstrate this by finding an explicit solution of the problem of distribution of ionized gas in a vessel with flat boundary plates.