c02 JWBS043-Rogers September 13, 2010 11:23 Printer Name: Yet to Come
PROBLEMS AND EXERCISES 33Problem 2.6
Find the van der Waals constantbin terms of the critical constantspc,Vc, andTc.Problem 2.7
Show that the van der Waals parameteraisa=^98 RTcVcwhere the subscriptcdenotes
the critical point.Problem 2.8
Find the molar volume of ethane at 50 bar pressure and 400 K, from the van der
Waals parametersa=5.562 andb=0.0638.Problem 2.9
Draw thepVisotherms for an ideal gas at 300, 400, 600, and 800 K. The results
should resemble the corresponding isotherms in the text.Problem 2.10
The second virial coefficientB[T]of toluene (methylbenzene) is –1641 cm^3 mol−^1 at
350 K. First, convert this unit to the more modern unit of dm^3 mol−^1 , and then find
the compressibility factorZat this temperature and 1.00 bar.Problem 2.11
Continuing with the data above, what is the molar volume of toluene vapor at 1.00
bar at 350 K?Problem 2.12
A real gas follows the equationpV= 24. 79 − 0. 0103 p+ 6. 52 × 10 −^5 p^2 for one
mol. Plot the curve ofpVvs.pfrom 0 to 100 bar and locate the minimumpV
product.Problem 2.14
Suppose the data set in the previous problem were as shown in Table 2.2. The last
four entries in Table 2.2 differ from those of the previous problem in the second and
third digits beyond the decimal point. The graph in Fig. 2.11 turns up slightly above
p=70 bar. Fit this data set with a cubic equation.