4. 4.. (6.)lausius lapeyon ln p A (6.) A 6- (6.) Antoine ln p A (6.) ( + ) A 8 760 34 78 57 64 8 p o p o lausius lapeyonp o lnp o / 6. 6-4.0 atm4.00.0350 kpa
A6.664043667.705 46.966p o [kpa][k] [] (6.) 4.0atm ln p [ kpa] A ( + ) 3667.705 A ln p 6.66404 ln(4.0.035 0 ) + 46.966 3904 K 7.9 6. lausiuslapeyon dq du P dv dqdu+pdv (6.3) dq ds dqds (6.4) (6.3)(6.4) duds-pdv (6.5) H HU+PV (6.6) (6.6) dhdu+pdv+vdp (6.7) (6.7)(6.5) dhds+vdp (6.8) (Gibbs)G HS GH-S (6.9) (6.9) dg dh-ds-sd (6.0)
(6.8)(6.0) dg VdP -Sd (6.) dg VdP Sd (6.) p equilibium mol(gibbs) GmGm V Gm L Gm V Gm L m dpd Gm V dgm V Gm L dgm L dgm V dgm L (6.3) () mol dgm V Vm V dpsm V d (6.4) dgm L Vm L dpsm L d (6.5) (6.3) dp d V m V m L m L m S S (6.6) V V Sm V Sm L Sv,m Hv,mHv,m V L H V,m S V,m S m S m (6.7) (6.6)(6.7) dp d H V,m V ( V V m L m (6.8) ) (6.8),000 Vm V Vm L pvmr 3
V V m V L m V L m p (6.9) R (6.9)(6.8) dp d H V,m p (6.0) R Hv,mHv,m(6.0) ln p A (6.) A Hv,mR 6.3 6. A,, 4 Langmui 3 [] - [] P [mmhg] lausius-lapeyon A A 50 lnpa/ 4
[]P [mmhg]lnp [mmhg] / [K - ] yx yx yx 5
yx A 50 http://www.piika.com/chem/hemenge/antoine.htm Antoine 4.. Riedelhek-Stiel 6 Riedel equation calculate vapo pessue as follow, c : itical empeatue Pc : itical Pessue b : boiling Point / itical empeatue measue empeatue / itical empeatue http://www.piika.com/chem/hemenge/antoine.htm Antoine 5. 5. 6 viscosity 6
hapmanenskog M 6.69 (3.7) δ Ω η v [P][]M[K] v A E Ω v + + (3.8) * D F* k * (3.9) k ( 0.795 + 0.0693ω) (3.30) (3.30) 6 (3.8) AF A.6450.48740.5487D0.7730E.678F.43787 ηξ 0.68 0.449 058 4.60.04 +.94e 4. + e 0. (3.3) ηξ (0.775 0.055) Z 5 / 4 (3.3).5 4 / 5 / 3 ηξ (.90 0.9) Z (3.33) M 6 P 3 (3.34) (3.34)Z [P] [ 3.0] 0 8.8K 5.MP a(50.4atm) 0.8 8.05 [] 8.8KP 50.4atmM8.05 (3.4) 7
M 6 P 3 (8.05) (8.8) 6 (50.4) 3 0.0355 (3.38) 0+ 73.5.33 8.8 η 0.68 0.449 058 4.60.04 +.94 4. e e ξ + 0. 4.60.33 0.68 0.449.04e 0.0355.33 +.94e 4.058.33 + 0. 5.7µ P Reichenbeg a * η [ + 0.36 ( )] 6 a* (3.35) M a* (3.36) n i i i Mn i I i 3 3 0) i i H 3 9.04 () 3.59 H () 6.47 F 4.46 H().67 l 0.06 ().53.83 H 7.68 OH() 7.96 H() 5.53 O() 3.59 H().78 O().0 H 7.4 HO() 4.0 () 5.4 OOH() 8.65 H () 6.9 OO() 3.4 HOO() H().6 NH 9.7 () 0.3 NH() 3.68 8
() 5.90 N() 4.97 N 8.3 S() 8.86 [. E. Poling, J. M. Pausnitz and J. P. O onnell, he Popeties of Gases and Liquids 5th edit., p.9.3, McGaw-Hill (000)] [ 3.] 80 60. 437.8K [] 60. 437.8K (3.36) a* M (60.) 437.8 a * 9.5 n 9.04 + 6.47 + 3.59 i i i (3.4) 80 + 73.5 0.807 437.8 η a * [ + 0.36 ( )] 6 9.5 0.807 [ + 0.36 0.807 (0.807 )] 6 97.37µ P 3 5.. (homas) L η L log 8.569 θ / ρ L η []ρ [g/cm 3 ] [K]θ L [. E. Poling, J. M. Pausnitz and J. P. O onnell, he Popeties of Gases and Liquids 5th edit., p.9.3, McGaw-Hill (000)] 9
homas60 536.4.43g/cm 3 [] 73.5 + 60 0. 6 536.4 c θ θ 0.46 + 3 0.340 + 0.49 0.807 η L log 8.569 0.807 0.49 /.43 0.6 η 0.43 cp η 0. 43 cp Oick-Eba η L ln A + θ ρ LM η L []ρ L [g/cm 3 ] A, A, Oick-Eba [K]M 0
[. E. Poling, J. M. Pausnitz and J. P. O onnell, he Popeties of Gases and Liquids 5th edit., p.9.3, McGaw-Hill (000)] 5. Fick dn J D dx Jnx D 5.. oltzmann hapmanenskog D M, 3 M + M π A A k M AM 6 nπσ A A M / Ω D f D A, n,k, Ω D
σ A A, Fulle-Schettle-Giddings 3.75 M A + M 0 M AM DA / 3 / 3 P[( v) A + ( v) ] / [K][atm] v, Fulle-Schettle-Giddings [. E. Poling, J. M. Pausnitz and J. P. O onnell, he Popeties of Gases and Liquids 5th edit., p.9.3, McGaw-Hill (000)] Fulle-Schettle-Giddings 50.035MPa v 0. 8.8 3 H 7 OH v v 3( ) + 8( H ) + ( O) (3H7OH) 3 6.5 + 8.98 + 5. 48 70.8 M p 60 Fulle-Schettle-Giddings 3.75 M A + M 0 M AM DA / 3 / 3 P[( v) A + ( v) ] /
3.75 60 + 8.8 0 98 60 8.8 D A / 3 / 3 [70.8 + 0. ] / 4.8446.90.03 cm /s 0.03 cm /s < V V D ρ ( Dρ ) o Mathuhodos D ρ 0.7 0 β c 5 ρ P P / M Pc β 5 / 6 c / 3 P c, c atm,k 5.. :, D A D A. (Stokes-Einstein ). D A R 6πη A, A D A Wilke-hangStokes-Einstein 3
D A 7.4 0 φm / 8 ( ) 0.6 η VA D A A,cm /s M,KV A A,cm3/mol yn-alus V b.048 0.85V c V c SchoedeLe as [. E. Poling, J. M. Pausnitz and J. P. O onnell, he Popeties of Gases and Liquids 5th edit., p.9.3, McGaw-Hill (000)] 30 30 0.54cP73.8cm3/mol 4
3.04.5 Wilke-hang D A 7.4 0 φm / 8 ( ) 0.6 η VA / 8 (.5 3.04) 303. 7.4 0 0. 6 0.54 73.8.370-6 cm /s 6 c p c V c (Lydesen) 0.567 + [K] (3.4) ( 0.34 + p) ( ) M p [atm] (3.5) V 40 + v [cm 3 mol - ] (3.6) M[K] 760mmHg[gmol - ] pv 3- pv 3 ) p v H 3 0.0 0.7 55 H 0.0 0.7 55 H 0.0 0. 5 0 0. 4 H 0.08 0.98 45 H 0.08 0.98 45 0 0.98 36 0 0.98 36 H 0.005 0.53 36 0.005 0.53 36 H 0.03 0.84 44.5 H 0.0 0.9 46 0.007 0.54 3 5
H 0.0 0.54 37 0.0 0.54 36 F 0.08 0.4 8 l 0.07 0.3 49 0.0 0.5 70 I 0.0 0.83 95 OH() 0.08 0.06 8 OH() 0.03 0.0 3 O() 0.0 0.6 0 O() 0.04 0. 8 O() 0.04 0.9 60 O() 0.033 0. 50 HO() 0.048 0.33 73 OOH() 0.085 0.4 80 OO() 0.047 0.47 80 O() 0.0 0. NH 0.03 0.095 8 NH() 0.03 0.35 37 NH() 0.04 0.09 7 N() 0.04 0.7 4 N() 0.007 0.3 3 N 0.06 0.36 80 NO 0.055 0.4 78 SH 0.05 0.7 55 S() 0.008 0.4 45 [R.. Reid, J. M. Pausnitz and. K. Shewood, he Popeties of Gases and Liquids 4th edit., McGaw-Hill (977)] [ 3.3] P c c V c [] H 3 (H ) 6 OHM 6.0 76.8 p V H 3 0.0 0.7 55 H 6 0.0 0.7 55 OH 0.08 0.06 8 ( 0.0 ) ( 0.0 6 ) 0.08 0. p ( 0.7 ) ( 0.7 6 ) ( 0.06 ).649 v ( 55 ) ( 55 6 ) ( 8 ) 403 76.8 73.5 449.96K 6
(0.567 + 449.96 ) {0.567 + 0. (0.) P M 6.0 ((0.34 + P) ) ((0.34 +.649) ) 9.4atm V c 40 v 40 403 443cm 3 mol } 608K c Pc Vc 08 74.3 546.6 KP44.5 atmv74 cm 3 /mol 78.35 46.07 5.4 KP63. atmv68 cm 3 /mol.3 http://www.piika.com/chem/pee/ip/jobackp.htm itical Popeties Estimation Please input functional goup numbe and push calc button. If molecule contains ing, please select (R) fagment. 3.3 P c c V c [] H 3 (H ) 6 OHM 6.0 76.8 H 3 H 6OH,6, b449.96kp alc.c,pc,vc c,609.78333366 KPc,30.938997 basvc 446.6cm3/mol 3.3 7
8
SI SI m kg s K mol A cd SI SI SI SI N m kg s- Pa m- kg s- (N m-) J m kg s- W m kg s-3 (J s-) A s V m kg s-3 A- (J A- s-) m kg s-3 A- (V A-) S m- kg s- A (-) F m- kg s- A s4 (A s V-) Hz s- 3 SI 0-0 -9 0-6 0-3 0-0 - 0 3 0 6 0 9 p n m c d k M G 9
4 3.4593 F 9.648545604 mol- K.380660-3 J K- R 8.344 J K- mol- 8.056 0- dm3 atm K- mol-.9870 cal K- mol- L 6.00503 mol- H 6.6680- J s G 9.80665 m s-.9979508 m s-.43830- m3 mol- 5 3) ln p A p [ kpa ] [ K ] ( + ) A [K] 6.56989 3984.93 39.74 73.5373.5 3.99869 696.49 46.98 63.5333.5 n- 3.8587 9.39 56.50 70.5400.5 6.594 3643.34 33.44 88.5357.5 6.66404 3667.705 46.966 93.5366.5 n- 7.786 47.068 45.7 58.537.5 n- 4.94047 3005.39 99.73 36.5399.5 3.7608 778.000 50.04 80.5354.5 3.8650 755.64 53.989 8.5353.5 3.98998 3090.783 53.963 46.5384.5 p- 4.0830 3346.646 57.840 300.5389.5 4.3784 787.498 43.486 60.538.5 Gmehling J.et al. DEHEMA hemisty Data Seies.Vol.,Pat-8(977-984) 0
6 8) P c [MPa] c [K] V c [cm 3 mol] (O) 3.49 3.9 93.5 0.049 (O ) 7.38 304. 94.4 0.5 (H O). 647.30 57. 0.344 (NO ) 0. 43 8 0.86 (SO ) 7.884 430.8 0.5 (HF) 6.48 46 69 0.37 (Hl) 8.3 34.6 8 0. (H) 8.55 363. 0 0.063 (HI) 8.3 44.0 35 0.05 (HN) 5.39 456.8 39 - (H S) 8.94 373. 98.5 0.00 (NH 3 ).8 405.6 7.5 0.50 (H 4 ) 4.595 90.55 98.9 0.008 ( H 4 ) 5.076 8.65 8.68 0.085 ( H 6 ) 4.87 305.3 47 0.098 ( 3 H 8 ) 4.50 369.8 03 0.5 ( 6 H 6 ) 4.898 56.6 59 0. ( 6 H ) 4.07 553.4 308 0.443 ( 6 H 5 H 3 ) 4.09 59.79 36 0.57 ( 0 H 8 ) 4. 748.4 408 0.30 (H 3 OH) 8.0 5.58 8 0.559 ( H 5 OH) 6.38 56. 67 0.635 ( 6 H 5 OH) 6.3 694. 64 0.440 (H 3 HO) 5.54 46 68 0.303 ((H 3 )O) 4.70 508. 09 0.309 (H 3 OOH) 5.79 594.45 7 0.454 (H 3 OOH 3 ) 4.69 506.8 8 0.34 (H 3 OO H 5 ) 3.83 53. 86 0.363 (H 3 ) O 5.37 400 90 0.9 ( H 5 ) O 3.638 466.70 80 0.8 ( 6 H 5 NH ) 5.3 699 79 0.38 (l 4 ) 4.56 556.4 76 0.94 R.. Reid, J. M. Pausnitz and. E. Poling, he Popeties of Gases and Liquids, 4th edit., Appendix, McGaw Hill (987)
4-8) p,m a + a + a3 + a4 3 ( p,m [JK mol ], [K] ) a a0 3 a30 5 a40 8 O 30.87.85.789.7 O 9.80 73.44 5.60.75 S 7.44 8.7 7.666.673 l 6.93 33.84 3.869.547 F 3. 36.57 3.63.04 H 7.4 9.74.38 0.7645 Hl 30.67 7.0.46 0.3898 HF 9.06 0.66 0.03 0.504 HO 3.4.94.055 0.3596 HS 3.94.436.43.76 I 35.59 6.55 0.6988 0.834 N 7.06 58. 0.89 NH3 7.3 3.83.707.85 NO 9.35 0.9378 0.9747 0.487 NO 4.3 48.36.08 0.093 O 8. 0.003680.746.065 SO 3.85 66.99 4.96.38 SO3 9. 374.76 3.700 3.48 3.57.985.300.7 35.8 8.4.07 9.5 5.3.97.3 3.806 56.6 8.348.755 7.76 8.3 0.07.380 4.840 54.9 7.53 4.949 5.409 78. 6.938 0.873 9.04 4. 8.390 0.373 6.30 60.6.53.038 4.4 306.3 5.86 3.5 33.9 473.9 30.7 7.30 R.. Reid, J. M. Pausnitz and. E. Poling, he Popeties of Gases and Liquids, 4th edit., Appendix, McGaw Hill (987)N()() p.ii-39(984)
4-93K 4) J mol - K - H3 H H H H H H H H l l3 4 36.8 30.4.0 7.36.8.3 5.9 4.7 4.7 8 6 36 5 38 O O OH O O HOH HOH OH OH ONO H HN H N N N N SH H 53.0 79.9 60.7 73. 76..3 44.8 9. 58.6 43.9 3 9 58. 44.8 33 5 F I O > O H 7 36 35 53.0 R.. Reid, J. M. Pausnitz and. E. Poling, he Popeties of Gases and Liquids, 4th edit., Appendix, McGaw Hill (987) 3
50 A 6.56989 3984.93 39.74 atm0.35 kpa ln p [kpa] A ( [K] + ) 3984.93 ln p [kpa] A 6.56989.50 ( [K] + ) (50 + 73.5) 39.74 p 0.3 kpa 0.5 atm -. atm A 6.56989 3984.93 39.74 -. 3984.93 ln(.0.035 0 ) 6.56989 ( 39.74) 3984.93 A ln p 6.56989 ln(.0.035 0 ) + 39.74 393.67 K 0.5 3 4.00 atm4.0.0350 kpa A 6.66404 3667.705 46.966 p o [kpa] [K] 4.00atm ln p [ kpa] A ( + ) 3667.705 A ln p 6.66404 ln(4.0.035 0 ) + 46.966 39.05 K 7.9 4