Critical-point universality in adsorption: The effect of charcoal on a mixture of isobutyric acid and water near the consolute point

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 83, Issue 6, 2011, Pages

  Giesy, Timothy J ^a   Chou, Alan S ^b   McFeeters, Robert L ^b   Baird, James K ^b,c   Barlow, Douglas A ^d  

^a The University of Alabama in Huntsville   (United States)

^b University of Alabama in Huntsville   (United States)

^c UNIVERSITY OF ALABAMA IN HUNTSVILLE   (United States)

^d NONE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONSOLUTE POINTS; CRITICAL END-POINT; CRITICAL POINTS; DIRAC DELTA FUNCTION; EQUILIBRIUM MOLE FRACTION; FREUNDLICH; FREUNDLICH EQUATIONS; HIGHER TEMPERATURES; ISOBUTYRIC ACID; MOLE FRACTION; SCALING THEORIES; SPECIFIC ADSORPTION;

CHARCOAL; DELTA FUNCTIONS; MIXTURES;

ADSORPTION;

EID: 79961093115     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.83.061201     Document Type: Article

References (74)

1. J. D. van der Waals, Z. Phys. Chem. 13, 657 (1894).
2. For an English translation of Ref. 1, see J. S. Rowlinson, J. Stat. Phys. 0022-4715 10.1007/BF01011513 20, 197 (1979).
3. J. W. Cahn and J. E. Hilliard, J. Chem. Phys. 0021-9606 10.1063/1.1744102 28, 258 (1958).
4. J. W. Cahn, J. Chem. Phys. 0021-9606 10.1063/1.434402 66, 3667 (1977).
5. M. E. Fisher and P.-G. de Gennes, C. R. Seances Acad. Sci. Ser. B 287, 207 (1978).
6. A. H. Falls, L. E. Scriven, and H. T. Davis, J. Chem. Phys. 0021-9606 10.1063/1.444720 78, 7300 (1983).
7. L. Mistura, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.33.1275 33, 1275 (1986).
8. Z. Borjan and P. J. Upton, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.63.065102 63, 065102 (R) (2001).
9. A. J. Liu and M. E. Fisher, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.40.7202 40, 7202 (1989).
10. S.-Y. Zinn and M. E. Fisher, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.71.011601 71, 011601 (2005). (Pubitemid 40619951)
11. C. Franck and S. E. Schnatterly, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.48.763 48, 763 (1982).
12. G. H. Findenegg and R. Loring, J. Chem. Phys. 0021-9606 10.1063/1.448036 81, 3270 (1984).
13. S. Blumel and G. H. Findenegg, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.54.447 54, 447 (1985).
14. M. Schlossman, X.- L. Wu, and C. Franck, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.31.1478 31, 1478 (1985).
15. (optical reflection; carbon disulfide; hydroxylated glass; critical isopleth)
16. D. Beysens and D. Esteve, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.54.2123 54, 2123 (1985).
17. P. Malbrunot, D. Vidal, J. Vermesse, R. Chahine, and T. K. Bose, Langmuir 0743-7463 10.1021/la00038a044 8, 577 (1992).
18. D. S. P. Smith and B. M. Law, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.54.2727 54, 2727 (1996).
19. N. S. Desai, S. Peach, and C. Franck, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.52.4129 52, 4129 (1995).
20. M. Thommes, G. H. Findenegg, and M. Schoen, Langmuir 0743-7463 10.1021/la00006a048 11, 2137 (1995).
21. H. Grull and D. Woermann, J. Chem. Phys. 0021-9606 10.1063/1.472041 105, 2527 (1996).
22. H. Grull and D. Woermann, J. Chem. Phys. 0021-9606 10.1063/1.473409 106, 732 (1997).
23. J. R. Howse, J. Bowers, E. Manzanares-Papayanopoulos, I. A. McLure, and R. Steitz, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.59.5577 59, 5577 (1999).
24. J. Schulz, J. Bowers, and G. H. Findenegg, J. Phys. Chem. B 1520-6106 10.1021/jp010616q 105, 6596 (2001). (Pubitemid 35338987)
25. J. R. Howse, E. Manzanares-Papayanopoulos, I. A. McClure, J. Bowers, R. Steitz, and G. H. Findenegg, J. Chem. Phys. 0021-9606 10.1063/1.1463398 116, 7177 (2002). (Pubitemid 34544183)
26. A. Rajendran, T. Hocker, O. Di Giovanni, and M. Mazotti, Langmuir 0743-7463 10.1021/la025696j 18, 9726 (2002).
27. G. Rother, D. Woywood, M. Schoen, and G. H. Findenegg, J. Chem. Phys. 0021-9606 10.1063/1.1755667 120, 11864 (2004).
28. J. Bowers, A. Zarbakhsh, A. Queroi, H. K. Christenson, I. A. Mc Lure, and R. Cubitt, J. Chem. Phys. 0021-9606 10.1063/1.1805501 121, 9058 (2004).
29. M. D. Brown, B. M. Law, S. Satija, W. A. Hamilton, E. Watkins, J.-H. J Cho, and J. Majewski, J. Chem. Phys. 0021-9606 10.1063/1.2736383 126, 204704 (2007). (Pubitemid 46872197)
30. G. Rother, Y. B. Melnichenko, D. R. Cole, H. Frielinghaus, and G. D. Wignall, J. Phys. Chem. C 1932-7447 10.1021/jp073698c 111, 15736 (2007). (Pubitemid 350097639)
31. J. H. Carpenter, B. M. Law, and D. S. P. Smith, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.59.5655 59, 5655 (1999).
32. J. H. Carpenter, J.-H. J. Cho, and B. M. Law, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.61.532 61, 532 (2000).
33. B. M. Law, Prog. Surf. Sci. 0079-6816 10.1016/S0079-6816(00)00025-3 66, 159 (2001). (Pubitemid 32874741)
34. M. D. Brown, B. M. Law, L. Marchand, L. B. Lurio, I. Kuzmenko, T. Gog, and W. A. Hamilton, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.75.061606 75, 061606 (2007). (Pubitemid 47140230)
35. A. Stein and G. F. Allen, J. Chem. Phys. 0021-9606 10.1063/1.1679973 59, 6079 (1973).
36. R. S. Hansen, R. D. Hansen, and R. P. Craig, J. Phys. Chem. 0022-3654 10.1021/j150503a018 57, 215 (1953).
37. R. S. Hansen and R. P. Craig, J. Phys. Chem. 0022-3654 10.1021/j150513a005 58, 211 (1954).
38. J. S. Rowlinson and B. Widom, Molecular Theory of Capillarity (Clarendon Press, Oxford, UK, 1982), Chap. 9.
39. D. Beaglehole, J. Chem. Phys. 0021-9606 10.1063/1.440532 73, 3366 (1980).
40. S. Fisk and B. Widom, J. Chem. Phys. 0021-9606 10.1063/1.1671544 50, 3219 (1969).
41. R. B. Griffiths, J. Chem. Phys. 0021-9606 10.1063/1.1680768 60, 195 (1974).
42. O. F. Steinbach and C. V. King, Experiments in Physical Chemistry (American Book, New York, 1950), pp. 213-217.
43. D. O. Hayward and B. M. W. Trapnell, Chemisorption, 2nd ed. (Butterworths, London, 1964), Chap. V.
44. I. N. Levine, Physical Chemistry, 5th ed. (McGraw-Hill, Boston, MA, 2002), p. 282.
45. S. J. Allen, G. McKay, and J. F. Porter, J. Colloid Interface Sci. 0021-9797 10.1016/j.jcis.2004.08.078 280, 332 (2004). (Pubitemid 39469179)
46. K. V. Kumar and K. Porkodi, J. Hazard. Mater. 0304-3894 10.1016/j.jhazmat.2006.06.078 138, 633 (2006). (Pubitemid 44667242)
47. V. C. Srivastava, I. D. Mall, and I. M. Mishra, Ind. Eng. Chem. Res. 0888-5885 10.1021/ie0709842 47, 3129 (2008). (Pubitemid 351747429)
48. J. V. Sengers and J. M. H. Levelt-Sengers, Annu. Rev. Phys. Chem. 0066-426X 10.1146/annurev.pc.37.100186.001201 37, 189 (1986).
49. F. Ramos-Gomez and B. Widom, Physica 0378-4371 10.1016/0378-4371(80) 90015-1 104A, 595 (1980).
50. R. L. Scott, Ber. Bunsenges. Physik. Chem. 76, 296 (1972).
51. I. Prigogine and R. Defay, Chemical Thermodynamics (Longmans, Green and Co., London, 1954), p. 227.
52. J. K. Baird and J. C. Clunie, J. Phys. Chem. A 1089-5639 10.1021/jp982105i 102, 6498 (1998).
53. C. D. Specker, J. M. Ellis, and J. K. Baird, Int. J. Thermophys. 0195-928X 10.1007/s10765-007-0234-7 28, 846 (2007). (Pubitemid 47415635)
54. S. C. Greer, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.14.1770 14, 1770 (1976).
55. L. Kirkup, Data Analysis with Excel (Cambridge University Press, Cambridge, UK, 2002), Chap. 6.
56. S.-Y. Lin, K. McKeigue, and C. Maldarelli, Langmuir 0743-7463 10.1021/la00054a006 7, 1055 (1991).
57. H. Freundlich, Colloid and Capillary Chemistry (Methuen, London, 1926), pp. 174 and 223.
58. A. I. Rusanov, Prog. Surf. Membr. Sci. 4, 57 (1971).
59. R. B. Griffiths and J. C. Wheeler, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.2.1047 2, 1047 (1970).
60. W. J. Moore, Physical Chemistry, 3rd ed. (Prentice Hall, Englewood Cliffs, NJ, 1962), p. 20.
61. D. T. Jacobs, J. Chem. Phys. 0021-9606 10.1063/1.457439 91, 560 (1989).
62. J. K. Whitmer, S. B. Kiselev, and B. M. Law, J. Chem. Phys. 0021-9606 10.1063/1.2128705 123, 204720 (2005). (Pubitemid 41721308)
63. S. B. Kiselev, J. F. Ely, and M. Yu. Belyakov, J. Chem. Phys. 0021-9606 10.1063/1.480919 112, 3370 (2000).
64. B. Hu, R. D. Richey, and J. K. Baird, J. Chem. Eng. Data 0021-9568 10.1021/je8008599 54, 1537 (2009).
65. B. Hu and J. K. Baird, J. Phys. Chem. A 1089-5639 10.1021/jp908402t 114, 355 (2010).
66. J. L. Tveekrem, R. H. Cohn, and S. C. Greer, J. Chem. Phys. 0021-9606 10.1063/1.451964 86, 3602 (1987).
67. M. Gitterman, J. Stat. Phys. 0022-4715 10.1007/BF01112772 58, 707 (1990).
68. M. Gitterman, Chemistry Versus Physics: Chemical Reactions Near Critical Points (World Scientific, London, 2010).
69. A. Z. Patashinskii, V. L. Pokrovskii, and M. V. Feigel'man, Sov. Phys. JETP 55, 851 (1982).
70. J. C. Wheeler, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.30.648 30, 648 (1984).
71. S. T. Milner and P. C. Martin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.33.1996 33, 1996 (1986).
72. J. K. Baird and Y. W. Kim, J. Phys. Chem. A 1089-5639 10.1021/jp030870d 107, 10241 (2003).
73. M. Gitterman, Physica A 0378-4371 10.1016/j.physa.2008.11.020 388, 1046 (2009).
74. H. E. Stanley, Rev. Mod. Phys. 0034-6861 10.1103/RevModPhys.71.S358 71, 5358 (1999).