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volumetric properties of pure fluids

2. T-v diagram for a pure substance. PVT Behavior of Pure Substances. 22.09 MPa. ???????????? ??? ??????????????????????? ?? ???. ??????????????????????????????????? ????????????????????????????? ?????????????????????????????????????? ???????????????????????????????????????????????????????????????????????.

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volumetric properties of pure fluids

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    1. 1 ?????????????????????Volumetric Properties of Pure Fluids Dr.Sininart Chongkhong “A Dao” ChE, PSU

    2. 2

    3. 3

    4. 4

    5. 5 ?????????? (Equation of State)

    6. 6

    7. 7

    8. 8 ????? ???????????????? (??????????????) 2-3 term ?????????????????????????????? gas ??? P ??? – ??????? ???????????????????????????????????????? ??????? ??? parameter B, C ???????? ????????????????????????? ???. HC ??????????????????????????? Virial Equations of State

    9. 9

    10. 10

    11. 11

    12. 12 Example 3.8

    13. 13

    14. 14 Cubic Equations of State

    15. 15 Determination of Equation of State Parameter a and b may be evaluated by a fit to PVT data. Suitable estimates are found from values for Tc and Pc.

    16. 16 The Redlich/Kwong (RK) equation in 1949

    17. 17

    18. 18 Theorem of Corresponding State: Acentric factor

    19. 19

    20. 20 Liquid & Liquid-Like Roots of the Generic Cubic EOS

    21. 21

    22. 22

    23. 23

    24. 24

    25. 25

    26. 26 For comparison;

    27. 27 GENERALIZED CORRELATIONS FOR GASES

    28. 28

    29. 29 Pitzer Correlations for the Second Virial Coefficient

    30. 30

    31. 31 Correlations for the Third Virial Coefficient

    32. 32 Ex. 3.10 Determine the molar volume of n-butane at 510 K 25 bar by each of the following: The ideal gas equation The generalized compressibility-factor correlation Eq. (3.61) Eq. (3.68) Solution (a) (b) From Table B.1, Interpolation in Table E.1 and E.2,

    33. 33

    34. 34

    35. 35 Ex. 3.11 What pressure is generated when 1 lb-mol of methane is stored in a volume of 2 ft3 at 122?F ? The ideal gas equation The Redlich/Kwong equation A generalized correlation Solution (a) (b)

    36. 36

    37. 37 Ex. 3.12 A mass of 500 g of gaseous ammonia is contained in a 30,000-cm3 vessel immersed in a constant-temperature bath at 65?C. Calculate the pressure of the gas by: (a) The ideal gas equation (b) A generalized correlation Solution (a) (b) Because the reduced pressure is low (Pr=27.53/112.8=0.244), the generalized virial-coefficient correlation should suffice. Tr=338.15/405.7=0.834

    38. 38

    39. 39 GENERALIZED CORRELATIONS FOR LIQUIDS

    40. 40

    41. 41

    42. 42

    43. 43

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