Van der Waals equation

As temperature rises, the local extremes will come closer. Once two local extreme meet, it is also the inflection point, and there is no phase transition happened above this temperature. Yet, it is the critical temperature of the substance, $latex T_c$. Therefore, we can use differential of pressure to find the critical temperature.   Note …

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Temperature and ideal gas

Thermal equilibrium leads to same temperature of two systems : https://blackdoghole.wordpress.com/2019/04/15/thermodynamics-preliminary-system-and-three-laws/ yet, the average energy of particles, which consist two system, comes to the same, as a result of equipartition of energy for an elastic collision only, long time, closed system.