That problem was taken of McQuarrie Physical Chemestry book, which
answer is V ≈ 78.5cm³·mol-1Use the following figure to estimate the volume of CO at 200K and 180bar. An accurate experimental value is 78.3 cm³·mol-1.
Figure: http://prntscr.com/gdoohmI know that all gases at corresponding states should behave similary, so gases at the same reduced pressure and at the same reduced temperature should have the same reduced volume.
Reduced temperature, Tr, and reduced pressure, Pr, can be written as:
Tr = T/Tc = 27RbT/8a
Pr = P/Pc = 27b²p/aWhere
a and
b are van der Waals parameters.
Pr and Tr are easily taken from the figure, and:
Pr/Tr = 8bp/RTWe now
Vc = 3b, where Vc é the critical volume. Then,
Vc = 3(Pr/Tr) x (TR/8P).But now have no ideia how could i proceed,i hope anyone to guide me through this problem. If a went wrong above, please tell-me.
Thanks!