Page tree

Versions Compared

Key

  • This line was added.
  • This line was removed.
  • Formatting was changed.

...

Dimensionless multiplier in real gas equation of state which describes the deviation of a real gas from  ideal gas behavior:

LaTeX Math Block
anchorZ
alignmentleft
Z = \frac{p V}{\nu R T}

...

It is related to gas compressibility 

LaTeX Math Inline
bodyc_g
as:

LaTeX Math Block
anchorG764AZ_c
alignmentleft
Z(p) = \frac{Z_0}{p_0} \cdot p \cdot \exp \left[ - \int_{p_0}^p c(p) dp  \right]

...

Expand
titleDerivation


LaTeX Math Block
anchor1cg1
alignmentleft
c_g = - \frac{1}{V} \frac{dV}{pdp} = - \frac{1d}{Z}dp} \left( \ln V \right) \rightarrow \ln \frac{dZ}{dp}{V}{V_0} = - \int_{p_0}^p c(p) dp 


Substituting

LaTeX Math Inline
bodyV
from
LaTeX Math Block Reference
anchorZ
into
LaTeX Math Block Reference
anchorcg1
one arrives to
LaTeX Math Block Reference
anchorZ_c
.



See also

...

Natural Science / Physics /Thermodynamics 

...