ADVANCED THERMODYNAMICS ENGINEERING phần 10 docx

Chemical Species Tmax A 10B 10C 10 DTable 6F2 adapted from Smith and Van Ness, Introduction to Chemical Engineering dynamics, 4th Edition, McGraw Hill Book Company, 1987 Selected from H.

cP,0/R = A + BT + CT 2 + D T–2 from 298 K to Tmax

(h0– h0,ref) /R = A (T–Tref) + (B/2)(T2–Tref2) + (C/3) (T3 –Tref3 ) – D (1/T– 1/Tref)

(s0– s0,ref) /R = A ln (T/Tref) + B(T–Tref) + (C/2)(T2 –Tref2 ) – (D/2) (1/T–2– 1/Tref–2)

where href and sref are typically set to zero at Tref

Chemical Species Tmax A 10B 10C 10 D

Table 6F2 adapted from Smith and Van Ness, Introduction to Chemical Engineering dynamics, 4th Edition, McGraw Hill Book Company, 1987 (Selected from H.M Spencer, Ind Eng Chem., 40: 2152, 1948; K.K Kelley, U.S Bur Mines Bull., 584, 1960; L.B Pankratz, U.S Bur Mines Bull., 672, 1982).

Pr, Relative pressure, vr: relative volume Source: adopted from K Wark, Thermodynamics, 4th

Ed., McGraw Hill Book Co., 1983, pp 785-786 Originally from J.H Keenan and J Keye,

Gas Tables, John Wiley & Sons, NY, 1948 Pr =0.00368 exp ( - s0 /R), vr = 2.87 T/pr, g0 =h- Ts0

TABLE 8: Ideal gas properties of carbon monoxide, CO

MW = 28.010, hf,2980(kJ/kmol) = –110, 541T

s0( )T(kJ/kmol–K)

g0( )T(kJ/kmol)

Tables 8 to 19 except for g0 T

( ) adapted from S R Turns, An Introduction to Combustion,

2nd Edition, McGraw Hill Book Co., 2000

For Tbles A-8 to A-19,

g0= hf,2980+ (ht T, −ht,298 )-Ts0,g0≠ gf0,sk(T,pk) = s0 - R ln (pk/1),gk(T.pk) = g0 + RT ln(pk/1)

TABLE 9: Ideal gas properties of carbon dioxide, CO2

MW = 44.011, hf,2980(kJ/kmol) = –393,546

T cp0 ht T, −ht,298 hf0( )T s0( )T g0( )T(K) (kJ/kmol–K) (kJ/kmol) (kJ/kmol) (kJ/kmol–K) (kJ/kmol)

(K) (kJ/kmol–K) (kJ/kmol) (kJ/kmol) (kJ/kmol–K) (kJ/kmol)

TABLE 10: Ideal gas properties of hydrogen atom, H

MW = 1.01, hf,2980(kJ/kmol) = 217,977T

s0( )T(kJ/kmol–K)

g0( )T(kJ/kmol)

(K) (kJ/kmol–K) (kJ/kmol) (kJ/kmol) (kJ/kmol–K) (kJ/kmol)

TABLE 11: Ideal gas properties of hydrogen, H2

MW = 2.02, hf,2980(kJ/kmol) =0T

(K)

cp0(kJ/kmol–K)

ht T, −ht,298

(kJ/kmol)

hf0( )T(kJ/kmol)

s0 T( )(kJ/kmol–K)

g0 T( )(kJ/kmol)

(K) (kJ/kmol–K) (kJ/kmol) (kJ/kmol) (kJ/kmol–K) (kJ/kmol)

TABLE12: Ideal gas Properties of water (g), H2O

MW = 18.02, hf,2980(kJ/kmol) = –241,845, enthalpy of vaporization (kJ/kmol) = 44,010

T

(K)

cp0(kJ/kmol–K)

ht T, −ht,298

(kJ/kmol)

hf0( )T(kJ/kmol)

s0( )T(kJ/kmol–K)

g0 T( )(kJ/kmol)

TABLE 13: Ideal gas properties of nitrogen atom, N

MW = 14.01, hf,2980(kJ/kmol) = 472,629

T

(K)

cp0(kJ/kmol–K)

ht T, −ht,298

(kJ/kmol)

hf0( )T(kJ/kmol)

s0( )T(kJ/kmol–K)

g0 T( )(kJ/kmol)

TABLE 14: Ideal gas properties of nitric oxide, NO

MW = 30.01, hf,2980(kJ/kmol) = 90,297

T

(K)

cp0(kJ/kmol–K)

ht T, −ht,298

(kJ/kmol)

hf0( )T(kJ/kmol)

s0( )T(kJ/kmol–K)

g0 T( )(kJ/kmol)

TABLE 15: Ideal gas properties of nitrogen dioxide, NO2

MW = 46.01, hf,2980(kJ/kmol) = 33,098

T

(K)

cp0(kJ/kmol–K)

ht T, −ht,298

(kJ/kmol)

hf0( )T(kJ/kmol)

s0( )T(kJ/kmol–K)

g0 T( )(kJ/kmol)

(K) (kJ/kmol–K) (kJ/kmol) (kJ/kmol) (kJ/kmol–K) (kJ/kmol)

TABLE 16: Ideal gas properties of nitrogen, N2

MW = 28.01, hf,2980(kJ/kmol) = 0

T

(K)

cp0(kJ/kmol–K)

ht T, −ht,298

(kJ/kmol)

hf0( )T(kJ/kmol)

s0( )T(kJ/kmol–K)

g0 T( )(kJ/kmol)

(K) (kJ/kmol–K) (kJ/kmol) (kJ/kmol) (kJ/kmol–K) (kJ/kmol)

TABLE 17: Ideal gas properties of oxygen atom, O

MW = 16.00, hf,2980(kJ/kmol) = 249,197

T

(K)

cp0(kJ/kmol–K)

ht T, −ht,298

(kJ/kmol)

hf0( )T(kJ/kmol)

s0( )T(kJ/kmol–K)

g0 T( )(kJ/kmol)

(K) (kJ/kmol–K) (kJ/kmol) (kJ/kmol) (kJ/kmol–K) (kJ/kmol)

TABLE 18: Ideal gas properties of hydroxyl, OH

MW = 17.01, hf,2980(kJ/kmol) = 38,985

T

(K)

cp0(kJ/kmol–K)

ht T, −ht,298

(kJ/kmol)

hf0( )T(kJ/kmol)

s0( )T(kJ/kmol–K)

g0 T( )(kJ/kmol)

(K) (kJ/kmol–K) (kJ/kmol) (kJ/kmol) (kJ/kmol–K) (kJ/kmol)

TABLE 19: Ideal gas properties of oxygen, O2

MW = 32.0, hf,2980(kJ/kmol) = 0

T

(K)

cp0(kJ/kmol–K)

ht T, −ht,298

(kJ/kmol)

hf0( )T(kJ/kmol)

s0( )T(kJ/kmol–K)

g0 T( )(kJ/kmol)

(K) (kJ/kmol–K) (kJ/kmol) (kJ/kmol) (kJ/kmol–K) (kJ/kmol)

TABLE 20A Constants for the Benedict–Webb–RubinUnits are P in bar(s), v in m3/kmol, R=0.08314 bar m3/kmole K and T in K

P =RT/ v + (B2RT–A2–C2/T2)/ v2 + (B3RT–A3)/ v3 + A3C6/v6+ {D3/(v3T2)}(1+E2/v2)exp(–E2/v2)

A 2 B 2 C 2 x10 –6 A 3 B 3 D 3 x10 –6 C 6 x1000 E 2 x100 Ammonia 3.839578 0.051646 0.180933 0.104914 0.00072 0.00016 0.004652 1.98 Argon 0.83412 0.022283 0.013312 0.029211 0.0021529 0.000809 0.0356 0.2338

Carbon dioxide 2.708886 0.045628 0.114834 0.052375 0.003082 0.007161 0.11271 0.494 Carbon Monoxide 1.3587 0.0426 0.008673 0.0371 0.002632 0.001054 0.135 0.6 Ethane 4.21072 0.062772 0.181976 0.349742 0.011122 0.033202 0.243389 1.18 Ethylene 3.383909 0.055683 0.132881 0.262438 0.0086 0.0214 0.178 0.923 Helium 0.04149 0.023661 1.64x10 –7 –5.81x10 –4 –1.97x10 –7 –5.59x10 –9 –0.007263 0.00779 i–Butane 10.36847 0.137544 0.861225 1.96335 0.039998 0.289806 1.07408 3.4 i–Butylene 9.072094 0.116025 0.939589 1.715169 0.034816 0.278569 0.910889 2.95945 i–Pentane 12.96575 0.160053 1.7695 3.806059 0.066812 0.704225 1.7 4.63 Methane 1.879623 0.0426 0.02287 0.500557 0.0338 0.002579 0.124359 0.6 n–Butane 10.21856 0.124361 1.006009 1.907296 0.039983 0.3206 1.10132 3.4 n–Heptane 17.75317 0.199005 4.808734 10.50233 0.151954 2.502787 4.35611 9 n–Hexane 14.62894 0.177813 3.363411 7.211176 0.109131 1.53284 2.81086 6.66849 Nitrogen 1.208329 0.0458 0.005967 0.015098 0.001982 0.000555 0.291545 0.75 n–Pentane 12.34107 0.156751 2.149367 4.128888 0.066812 0.83511 1.81 4.75 Oxygen 1.518695 0.046524 0.003913 –0.04104 –2.80E–05 –0.00021 0.008641 0.359 Propane 6.963471 0.097313 0.515003 0.96028 0.0225 0.130712 0.607175 2.2 Propylene 6.193333 0.085065 0.445012 0.784331 0.018706 0.103973 0.455696 1.829 Sulfurdioxide 2.148 0.026182 0.80146 0.8557 0.014653 0.1148 0.071955 0.59236

Sources: H W Cooper and J Goldfrank, Hydrocarbon Processing, 46(12), 141 (1967); E P Gyftopoulos, and G P Beretta, Thermodynamics, Foundations and Application, Macmillan

Publishing Co., NY, 1991

TABLE 21: Lee Kesler Constants

Lee Kesler constants for simple (e.g.: Ar, He etc) and reference (octane) fluids This is a fied form of BWR equation of state applicable for any substance The equation has 12 con-stants

wref =w octane = 0.398, z(1) = {z(ref) (PR,TR) – z(0) (PR,TR)} /wref , z(PR,TR) = z(0) (PR,TR)+ w z(1)(PR,TR)

TABLE 23A: Lee–Kesler values for Z (TR,PR)

1.7 0.99940.9971 0.9943 0.9886 0.9775 0.9667 0.95631.8 0.9995 0.9977 0.9955 0,9910 0.9823 0.9739 0.9659

TR

0.30 0.2892 0.3470 0.4335 0.5775 0.8648 1.4366 2.0048 2.85070.35 0.26040.3123 0.3901 0.5195 0.7775 1.2902 1.7987 2.55390.40 0.2379 0.2853 0.3563 0.4744 0.7095 1.1758 1.6373 2.32110.45 0.2200 0.2638 0.3294 0.4384 0.6551 1.0841 1.5077 2.13380.50 0.2056 0.2465 0.3077 0.4092 0.6110 1.0094 1.4017 1.98010.55 0.1939 0.2323 0.2899 0.3853 0.5747 0.9475 1.3137 1.85200.60 0.1842 0.2207 0.2753 0.3657 0.5446 0.8959 1.2398 1.74400.65 0.1765 0.2113 0.26340.3495 0.5197 0.8526 1.1773 1.65190.70 0.1703 0.2038 0.2538 0.3364 0.4991 0.8161 1.1241 1.57290.75 0.1656 0.1981 0.2464 0.3260 0.4823 0.7854 1,0787 1.50470.80 0.1626 0.1942 0.2411 0.3182 0.4690 0.7598 1.0400 1.44560.85 0.16140.19240.2382 0.3132 0.4591 0.7388 1.0071 1.39430.90 0.1630 0.1935 0.2383 0.3114 0.4527 0.7220 0.9793 1.34960.93 0.1664 0.1963 0.2405 0.3122 0.4507 0.7138 0.9648 1.32570.95 0.1705 0.1998 0.2432 0.3138 0.4501 0.7092 0.9561 1.31080.97 0.1779 0.2055 0.24740.31640.45040.7052 0.9480 1.29680.98 0.1844 0.2097 0.2503 0.3182 0.4508 0.7035 0.9442 1.29010.99 0.1959 0.21540.2538 0.32040.45140.7018 0.9406 1.28351.00 0.2901 0.2237 0.2583 0.3229 0.4522 0.7004 0.9372 1.27721.01 0.4648 0.2370 0.2640 0.3260 0.4533 0.6991 0.9339 1.27101.02 0.5146 0.2629 0.2715 0,3297 0.4547 0.6980 0.9307 1.26501.05 0.6026 0.4437 0.3131 0.3452 0.4604 0.6956 0.9222 1.24811.10 0.6880 0.5984 0.4580 0.3953 0.4770 0.6950 0.9110 1.22321.15 0.7443 0.6803 0.5798 0.4760 0.5042 0.6987 0.9033 1.20211.20 0.7858 0.7363 0.6605 0,5605 0.5425 0.7069 0.8990 1.18441.30 0.8438 0.8111 0.7624 0.6908 0.6344 0.7358 0.8998 1.15801.40 0.8827 0.8595 0.8256 0.7753 0.7202 0.7761 0.9112 1.14191.50 0.9103 0.8933 0,8689 0.8328 0.7887 0.8200 0.9297 1.13391.60 0.9308 0.9180 0.9000 0.8738 0.8410 0.8617 0.9518 1.13201.70 0.9463 0.9367 0.9234 0.9043 0.8809 0.8984 0.9745 1.13431.80 0.9583 0.9511 0.9413 0.9275 0.9118 0.9297 0.9961 1.13911.90 0.9678 0.9624 0.9552 0.9456 0.9359 0.9557 1.0157 1.14522.00 0.97540.9715 0.96640.9599 0.9550 0.9772 1.0328 1.15162.20 0.9865 0.9847 0.9826 0.9806 0.9827 1.0094 1.0600 1.16352.40 0.9941 0.9936 0.9935 0.9945 1.0011 1.0313 1.0793 1.17282.60 0.9993 0.9998 1.0010 1.0040 1.0137 1.0463 1.0926 1.17922.80 1.0031 1.0042 1.0063 1.0106 1.0223 1.0565 1.1016 1.18303.00 1.0057 1.00741.0101 1.0153 1.02841.0635 1.1075 1.18483.50 1.0097 1.0120 0.0156 1.0221 1.0368 1.0723 1.1138 1.18344.00 1.0115 1.0140 1.0179 1.0249 1.0401 1.0747 1.1136 1.1773Tables 23A to 26 B from B I Lee, and M G Kesler, A Generalized Thermodynamic Corre-

lation Based on Three Parameter Corresponding States, AIChE Journal, 21(3): 510–527,

1975 Reproduced by permission of the American Institute of Chemical Engineers © 1975AIChE (With permission.)

TABLE 23B: Lee–Kesler values for Z (TR, PR)

PR

TR

0.30 –0.0008 –0.0040 –0.0081 –0.0161 –0.0323 –0.0484 –0.0640.35 –0.0009 –0.0046 –0.0093 –0.0185 –0.0370 –0.0554 –0.0730.40 –0.0010 –0.0048 –0.0095 –0.0190 –0.0380 –0.0570 –0.0750.45 –0.0009 –0.0047 –0.0094 –0.0187 –0.0374 –0.0560 –0.0740.50 –0.0009 –0.0045 –0.0090 –0.0181 –0.0360 –0.0539 –0.0710.55 –0.0314 –0.0043 –0.0086 –0.0172 –0.0343 –0.0513 –0.0680.60 –0.0205 –0.0041 –0.0082 –0.0164 –0.0326 –0.0487 –0.0640.65 –0.0137 –0.0772 –0,0078 –0.0156 –0.0309 –0.0461 –0.0610.70 –0.0093 –0.0507 –0.1161 –0.0148 –0.0294 –0.0438 –0.0570.75 –0.0064 –0.0339 –0.0744 –0.0143 –0.0282 –0.0417 –0.0550.80 –0.0044 –0.0228 –0.0487 –0.1160 –0.0272 –0.0401 –0.0520.85 –0.0029 –0.0152 –0.0319 –0.0715 –0.0268 –0.0391 –0.0500.90 –0.0019 –0.0099 –0.0205 –0.0442 0.1118 –0.0396 –0.0500.93 –0.0015 –0.0075 –0.0154–0.0326 –0.0763 –0.1662 –0.0510.95 –0.0012 –0.0062 –0.0126 –0.0262 –0.0589 –0.1110 –0.0540.97 –0.0010 –0.0050 –0.0101 –0.0208 –0.0450 –0.0770 –0.1640.98 –0.0009 –0.0044–0.0090 –0.0184–0.0390 –0.0641 –0.1100.99 –0.0008 –0.0039 –0.0079 –0.0161 –0.0335 –0.0531 –0.0791.00 –0.0007 –0.0034 –0.0069 –0.0140 –0.0285 –0.0435 –0.0581.01 –0.0006 –0.0030 –0.0060 –0.0120 –0.0240 –0.0351 –0.0421.02 –0.0005 –0.0026 –0.0051 –0.0102 –0.0198 –0.0277 –0.0301.05 –0.0003 –0.0015 –0.0029 –0.0054–0.0092 –0.0097 –0.003

TABLE 24A: Lee–Kesler residual enthalpy values for ((h0 - h) / (R Tc))

0.3 6.045 6.043 6.04 6.034 6.022 6.011 5.9990.35 5.906 5.9045.901 5.895 5.882 5.87 5.8580.45.763 5.761 5.757 5.751 5.738 5.726 5.7130.45 5.615 5.612 5.609 5.603 5.59 5.577 5.5640.5 5.465 5.463 4.459 5.453 5.44 5.427 5.4140.55 0.032 5.312 5.309 5.303 5.29 5.278 5.2650.6 0.027 5.162 5.159 5.153 5.141 5.129 5.1160.65 0.023 0.118 5.008 5.002 4.991 4.98 4.9680.7 0.02 0.101 0.213 4.848 4.838 4.828 4.8180.75 0.017 0.088 0.183 4.687 4.679 4.672 4.6640.8 0.015 0.078 0.16 0.345 4.507 4.504 4.4990.85 0.014 0.069 0.141 0.3 4.309 4.313 4.3160.9 0.012 0.062 0.126 0.2640.596 4.0744.0940.93 0.011 0.058 0.118 0.246 0.545 0.96 3.920.95 0.011 0.056 0.113 0.235 0.516 0.885 3.7630.97 0.011 0.0540.109 0.225 0.49 0.8241.3560.98 0.01 0.053 0.107 0.221 0.478 0.797 1.2730.99 0.01 0.052 0.105 0.216 0.466 0.773 1.206

1 0.01 0.051 0.103 0.212 0.455 0.75 1.1511.01 0.01 0.05 0.101 0.208 0.445 0.728 0.1021.02 0.01 0.049 0.099 0.203 0.434 0.708 1.061.05 0.009 0.046 0.094 0.192 0.407 0.654 0.9551.1 0.008 0.042 0.086 0.175 0.367 0.581 0.8271.15 0.008 0.039 0.079 0.16 0.3340.523 0.7321.2 0.007 0.036 0.073 0.148 0.305 0.474 0.6571.3 0.006 0.031 0.063 0.127 0.259 0.399 0.5451.4 0.005 0.027 0.055 0.11 0.224 0.341 0.4631.5 0.005 0.0240.048 0.097 0.196 0.297 0.41.6 0.0040.021 0.043 0.086 0.173 0.261 0.351.7 0.0040.019 0.038 0.076 0.153 0.231 0.3091.8 0.003 0,017 0.0340.068 0.137 0.206 0.2751.9 0.003 0.015 0.031 0.062 0.123 0.185 0.246

2 0.003 0.0140.028 0.056 0.111 0.167 0.2222.2 0.002 0.012 0.023 0.046 0.092 0.137 0.1822.40.002 0.01 0.019 0.038 0.076 0.114 0.152.6 0.002 0.008 0.016 0.032 0.0640.095 0.1252.8 0.001 0.007 0.0140.027 0.054 0.08 0.105

3 0.001 0.006 0.011 0.023 0.045 0.067 0.0883.5 0.001 0.0040.007 0.015 0.029 0.043 0.056

40 0.002 0.005 0.009 0.017 0.026 0.033

TABLE 24B: Lee–Kesler residual enthalpy values for ((h0 – h) /(RTc))

0.3 11.098 11.096 11.095 11.091 11.083 11.076 11.0690.35 10.656 10.655 10.654 10.653 10.65 10.646 10.6430.410.121 10.121 10.121 10.12 10.121 10.121 10.1210.45 9.515 9.515 9.516 9.517 9.519 9.521 9.5230.5 8.868 8.869 8.87 8.872 8.876 8.88 8.8840.55 0.08 8.211 8.212 8.215 8.221 8.226 8.2320.6 0.059 7.568 7.57 7.573 7.579 7.585 7.5910.65 0.045 0.247 6.949 6.952 6.959 6.966 6.9730.7 0.0340.185 0.415 6.36 6.367 6.373 6.3810.75 0.027 0.142 0.306 5.796 5.802 5.809 5.8160.8 0.021 0.11 0.2340.542 5.266 5.271 5.2780.85 0.017 0.087 0.182 0.401 4.753 4.754 4.7580.9 0.014 0.07 0.144 0.308 0.751 4.254 4.2480.93 0.012 0.061 0.126 0.265 0.612 1.236 3.9420.95 0.011 0.056 0.115 0.241 0.542 0.994 3.7370.97 0.01 0.052 0.105 0.219 0.483 0.837 1.6160.98 0.01 0.05 0.101 0.209 0.457 0.776 1.3240.99 0.009 0.048 0.097 0.2 0.433 0.722 1.154

1 0.009 0.046 0.093 0.191 0.41 0.675 1.0341.01 0.009 0.044 0.089 0.183 0.389 0.632 0.941.02 0.008 0.042 0.085 0.175 0.37 0.594 0.8631.05 0.007 0.037 0.075 0.153 0.318 0.498 0.6911.1 0.006 0.03 0.061 0.123 0.251 0.381 0.5071.15 0.005 0.025 0.05 0.099 0.199 0.296 0.385

2 –0.001 –0.003 –0.007 –0.015 –0.03 –0.047 –0.0652.2 –0.001 –0.005 –0.01 –0.02 –0.04–0.062 –0.0832.4–0.001 –0.006 –0.012 –0.023 –0.047 –0.071 –0.0952.6 –0.001 –0.006 –0.013 –0.026 –0.052 –0.078 –0.1042.8 –0.001 –0.007 –0.014–0.028 –0.055 –0.082 –0.11

3 –0.001 –0.007 –0.014–0.029 –0.058 –0.086 –0.1143.5 –0.002 –0.008 –0.016 –0.031 –0.062 –0.092 –0.1224–0.002 –0.008 –0.016 –0.032 –0.064–0.096 –0.127

TR PR

0.3 11.062 11.055 11.044 11.027 10.992 10.935 10.872 10.7810.35 10.6410.637 10.632 10.62410.609 10.581 10.55410.5290.410.121 10.121 10.121 10.122 10.123 10.128 10.135 10.150.45 9.525 9.527 9.531 9.537 9.549 9.576 9.611 9.6630.5 8.888 8.892 8.999 8.909 9.932 8.978 9.03 9.1110.55 8.238 8.243 8.252 8.267 8.298 8.36 8.425 8.5310.6 7.596 7.603 7.6147.632 7.669 7.745 7.824 7.950.65 6.98 6.987 6.997 7.017 7.059 7.147 7.239 7.3810.7 6.388 6.395 6.407 6.429 6.475 6.574 6.677 6.8370.75 5.824 5.832 5.845 5.868 5.918 6.027 6.142 6.3180.8 5.285 5.293 5.306 5.33 5.385 5.506 5.632 5.8240.85 4.763 4.771 4.784 4.81 4.872 5.008 5.149 5.3580.9 4.249 4.255 4.268 4.298 4.371 4.53 4.688 4.9160.93 3.934 3.937 3.951 3.987 4.073 4.251 4.422 4.6620.95 3.712 3.713 3.73 3.773 3.873 4.068 4.248 4.4970.97 3.47 3.467 3.492 3.551 3.67 3.885 4.077 4.3360.98 3.332 3.327 3.363 3.434 3.568 3.795 3.992 4.2570.99 3.1643.1643.223 3.313 3.4643.705 3.909 4.178

1 2.471 2.952 3.065 3.186 3.358 3.615 3.825 4.11.01 1.375 2.595 2.88 3.051 3.251 3.525 3.742 4.0231.02 1.18 1.723 2.65 2.906 3.142 3.435 3.661 3.9471.05 0.877 0.878 1.496 2.381 2.8 3.167 3.418 3.7221.1 0.617 0.673 0.617 1.261 2.167 2.72 3.023 3.3621.15 0.459 0.503 0.487 0.604 1.497 2.275 2.641 3.0191.2 0.349 0.381 0.381 0.361 0.934 1.84 2.273 2.6921.3 0.203 0.218 0.218 0.178 0.3 1.066 1.592 2.0861.40.111 0.115 0.108 0.07 0.0440.5041.012 1.5471.5 0.049 0.046 0.032 –0.009 –0.078 0.142 0.556 1.081.6 0.005 –0.004–0.023 –0.065 –0.151 –0.082 0.217 0.6891.7 –0.027 –0.04–0.063 –0.109 –0.202 –0.223 –0.028 0.3691.8 –0.051 –0.067 –0.094 –0.143 –0.241 –0.317 –0.203 0.1121.9 –0.07 –0.088 –0.117 –0.169 –0.271 –0.381 –0.33 –0.092

2 –0.085 –0.105 –0.136 –0.19 –0.295 –0.428 –0.424 –0.2552.2 –0.106 –0.128 –0.163 –0.221 –0.331 –0.493 –0.551 –0.4892.4 –0.12 –0.144 –0.181 –0.242 –0.356 –0.535 –0.631 –0.6452.6 –0.13 –0.156 –0.194–0.257 –0.376 –0.567 –0.687 –0.7542.8 –0.137 –0.164–0.204–0.269 –0.391 –0.591 –0.729 –0.836

3 –0.142 –0.17 –0.211 –0.278 –0.403 –0.611 –0.763 –0.8993.5 –0.152 –0.181 –0.224–0.294–0.425 –0.65 –0.827 –1.015

4 –0.158 –0.188 –0.233 –0.306 –0.442 –0.68 –0.874 –1.097