Page 522 - Modelling in Transport Phenomena A Conceptual Approach

502 APPENDIX A. MATH33MATIC~ PREXIMLNARLGS

P P
( atm) ( cm3/ mol)
30.64 1164
31.60 1067
32.60 1013
33.89 956
35.17 900
36.63 842
38.39 771
40.04 707
41.79 646
43.59 591
45.48 506
47.07 443
48.07 386

Assume that the data obey the wirial equation of state, i.e.,

PP B C
z=-=1+7+77
RT v v2

and determine the virial coeficients B and C.

Solution

The equation of state can be rearranged QS
(a-1) P= B+F
C

Note that this equation has the form

y=B+Cx

where
y=(g-l)t and x=- 1
3

Taking R = 82.06 cm3. atm/ mol. K, the required values are calculated as follows: