Function CRITICAL-DENSITY

• Defined in theory: Thermal-system
• Source code: thermal-system.ol

Slots on this function:

Documentation:

the density of the substance at its critical point

Instance-Of: Function, Quantity-function

Arity: 2

Range: Everywhere-continuous-quantity

Other Related Axioms:

(Inherited-Facet-Value 
    Slot-Documentation
    Substance
    Critical-Density
    The Density Of The Substance At Its Critical Point)

(Quantity.Dimension (Critical-Density ?Self) Density-Dimension)

(Inherited-Facet-Value Slot-Cardinality Substance Critical-Density 1)

(Has-Quantity-Function Substance Critical-Density)

(Slot-Documentation Substance
                    Critical-Density
                    The Density Of The Substance At Its Critical Point)

(=> (Substance ?Self)
    (And (Value-Cardinality ?Self Saturation-Pressure 1)
         (Quantity.Dimension (Saturation-Pressure ?Self)
                             Pressure-Dimension)
         (Value-Cardinality ?Self Saturation-Temperature 1)
         (Quantity.Dimension (Saturation-Temperature ?Self)
                             Temperature-Dimension)
         (Value-Cardinality ?Self Ideal-Specific-Heat 1)
         (Quantity.Dimension (Ideal-Specific-Heat ?Self)
                             Specific-Energy-Dimension)
         (Value-Cardinality ?Self Molecular-Weight 1)
         (Quantity.Dimension (Molecular-Weight ?Self)
                             Amount-Dimension)
         (Value-Cardinality ?Self Critical-Temperature 1)
         (Quantity.Dimension (Critical-Temperature ?Self)
                             Temperature-Dimension)
         (Value-Cardinality ?Self Critical-Pressure 1)
         (Quantity.Dimension (Critical-Pressure ?Self)
                             Pressure-Dimension)
         (Value-Cardinality ?Self Critical-Density 1)
         (Quantity.Dimension (Critical-Density ?Self)
                             Density-Dimension)
         (Value-Cardinality ?Self Reference-Temperature 1)
         (Quantity.Dimension (Reference-Temperature ?Self)
                             Temperature-Dimension)
         (Value-Cardinality ?Self Ideal-Gas-Constant 1)
         (Value-Cardinality ?Self Ideal-Gas-P 1)))

(=> (Critical-Density $X $Y) (Everywhere-Continuous-Quantity $Y))

(Forall (?Self ?Time)
        (=> (Active ?Time Water ?Self)
            (And (= (Lambda (?T)
                            (If (= ?T ?Time)
                                (Value-At (Molecular-Weight ?Self)
                                          ?T)))
                    18.016)
                 (= (Lambda (?T)
                            (If (= ?T ?Time)
                                (Value-At (Critical-Temperature ?Self)
                                          ?T)))
                    647.286)
                 (= (Lambda (?T)
                            (If (= ?T ?Time)
                                (Value-At (Critical-Pressure ?Self)
                                          ?T)))
                    22.089)
                 (= (Lambda (?T)
                            (If (= ?T ?Time)
                                (Value-At (Critical-Density ?Self)
                                          ?T)))
                    317.0)
                 (= (Lambda (?T)
                            (If (= ?T ?Time)
                                (Value-At (Reference-Temperature ?Self)
                                          ?T)))
                    273.16)
                 (= (Lambda (?T)
                            (If (= ?T ?Time)
                                (Value-At (Ideal-Gas-Constant ?Self)
                                          ?T)))
                    461.51))))