[Cz-physics] Response to Alexander Patrakov
mbeychok
mbeychok at cox.net
Thu Apr 3 14:43:38 CDT 2008
Alexander, thanks for your response.
Figure 2 is based on the work of Gouq-Jan Sen in 1946 (see reference 7
included in the Figure 2). It was based on literally hundreds of data
points for the 10 gases listed in my CZ article. Detailed copies of his
original graph are available in many places in the literature. You can
view a full-size, detailed copy of the original graph (including the
data points) by visiting Professor Kadem's online article (the link in
reference 8).
Figure 2 is a much smaller version of the original and does not include
the data points, in order to make the smaller version readable ... and
it is purposely meant to be only a small illustrative example of that
type of chart.
Figure 2 does not show the area above Z = 1 because to do so would
require a very much wider chart. Figure 2 only shows the reduced
pressure range (Pr) from 0.0 to 4.0 .... if extended to a much higher
reduced pressure range, the reduced temperature (Tr) isotherms would
extend to Z greater than 1.
The lower graph in Figure 1 (for methane) extends to Z values greater
than 1 because the pressure range in Figure 1 extends to a pressure of
300 bar.
It indeed would be interesting to include a plot (similar to Figure 2)
using Z values calculated by using van der Waals equation ... if such
a diagram could be found in the literature. To create such a plot
myself would involve a very great deal of effort and time and I am not
inclined to do that. If you or anyone else knows of such a plot in the
readily available literature, I would endeavor to create an illustrative
simulation of that graph.
Regards,
Milton Beychok (http://en.citizendium.org/wiki/User:Milton_Beychok)
1102 Colony Plaza
Newport Beach, CA 92660, USA
Phone: 949-718-1360
Web Site: http://www.air-dispersion.com
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