EML3100 Thermo - Summer 2001 - Notes 5/15/01 & 5/17/01

A few more definitions...
A pure substance - a substance that is chemically homogeneous with a fixed chemical composition.
gases -
(vapors)
compressible
fluid (flow under stress)
molecules rarely exert forces on each other
solids -incompressible
rigid
dense
strong intermolecular forces
liquids -relatively incompressible
fluid
dense
properties are determined by the intermolecular forces
boiling point - at a given temperature, the temperature above which liquid is no longer present (all vapor).

freezing point - at a given temperature, the temperature below which no liquid is present (all solid).

Saturation Temperature (new definition for boiling point) -
temperature at which vaporization occurs at a given pressure. (this pressure is called the Saturation Pressure)
saturated liquid -liquid @ Tsat & psat
saturated vapor -vapor @ Tsat & psat
Liquid @ T < Tsat for a given pressure is called Compressed Liquid
            (p > psat for a given T)
Vapor @ T > Tsat for a given pressure is called Superheated Vapor

Along the vaporization line T & p are dependent properties -
(if one varies, the other cannot vary arbitrarily and still be on the line)

Quality - mass fraction saturated vapor, x
x =   mass of sat. vap.  
total mass
  =         mg      
mg + mf
  OR         mg      
mg + mi
subscript "g"   --->   saturated vapor
subscript "f"   --->   saturated liquid
subscript "i"   --->   saturated solid

Critical Point - point whre sat. liq. & sat. vap. states are identical
2 distinct phases are not present -- 1 phase, fluid
above the critical point we have a supercritical fluid

for a given substance we have a characteristic critial point with a
critical temperature, Tc
critical pressure, pc
critical specific volume, vc

Triple Point - * intersection of fusion, vaporization, & sublimation lines
* all 3 phases can coexist in equilibrium

The state of a simple pure substance is defined by 2 independent properties (p, v, T, & x).
note: at saturation,
            p & T are dependent
            v & x are dependent


IDEAL
GASES
molecules/atoms take up no space
molecules/atoms do not interact
To determine if ideal behavior can be expected, look at the state relative to the critial point -
Tr =   T  
Tc
            T = Tr * Tc
pr =   p  
pc
            p = pr * pc
Ideal gas behavior can be expected for a superheated vapor when the pressure is very low, or when the molecules have high energy (sufficiently high T) and the pressure isn't too high:
(this is a summary of the trends on a compressibility chart -- but more on that on 7/31/01...)
I. if p << pc ,   I.G. beh. for all T
OR
II. if T >= 2Tc ,   I.G. beh. for p < ~5pc
- END