Critical point is stationary inflection point of isotherm¶
Critical point (in the thermodynamic sense) is such values of volume, pressure, and temperature at which only one phase exists and at the vicinity of which the physical properties of the phases of the substance change dramatically. Algebraically, the critical point is the stationary inflection point of the isothermal pressure-volume dependency line.
Note:
These equations need to be solved together with the equation of state.
Links:
- Symbol:
V- Latex:
\(V\)
- Dimension:
volume
- Symbol:
p(V)- Latex:
\(p{\left(V \right)}\)
- Dimension:
pressure
- inflection_point_condition¶
Derivative(p(V), V) = 0- Latex:
- \[\frac{d}{d V} p{\left(V \right)} = 0\]
- flat_tangent_condition¶
Derivative(p(V), (V, 2)) = 0- Latex:
- \[\frac{d^{2}}{d V^{2}} p{\left(V \right)} = 0\]