# P2-1 - 2.623065 6.880468 while changing A B and C The initial estimate A=7 B=.1 15.55556 5538.6765 5535.621 3.055619 9.336806 and C=260 was

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Problem 2.1 Estimation of Antoine Equation Parameters Using Nonlinear Regression No. of data points (N) 20 TF P TC PV Pvcalc Err Err^2 No. of parameters (m) 3 -70 7.37 -56.66667 381.13955 384.9706 -3.831073 14.67712 Model Pvcalc=10^(A+B/(TC+C)) -60 9.72 -51.11111 502.6698 504.787 -2.117213 4.482592 Err=PV-Pvcalc -50 12.6 -45.55556 651.609 652.6033 -0.994269 0.98857 -40 16.2 -40 837.783 832.7584 5.024552 25.24612 Initial estimate -30 20.3 -34.44444 1049.8145 1049.879 -0.064836 0.004204 A= 6.97908967 6 -20 25.4 -28.88889 1313.561 1308.854 4.706844 22.15438 B= -886.921439897 -1000 -10 31.4 -23.33333 1623.851 1614.803 9.047639 81.85977 C= 258.530493197 200 0 38.2 -17.77778 1975.513 1973.048 2.46477 6.07509 Sum(Err^2)= 1571.46687707 634785055.13 10 46 -12.22222 2378.89 2389.078 -10.18796 103.7946 Variance 92.4392280627 37340297.361 20 55.5 -6.666667 2870.1825 2868.516 1.666564 2.777435 30 66.3 -1.111111 3428.7045 3417.086 11.61881 134.9967 40 78 4.444444 4033.77 4040.577 -6.807211 46.33812 50 91.8 10 4747.437 4744.814
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Unformatted text preview: 2.623065 6.880468 while changing A, B and C. The initial estimate A=7, B=-900 60 107.1 15.55556 5538.6765 5535.621 3.055619 9.336806 and C=260 was used 70 124 21.11111 6412.66 6418.794 -6.134228 37.62875 80 142.8 26.66667 7384.902 7400.073-15.1706 230.147 90 164 32.22222 8481.26 8485.11 -3.850233 14.8243 100 187 37.77778 9670.705 9679.452 -8.747228 76.51399 110 213 43.33333 11015.295 10988.51 26.78313 717.336 120 240 48.88889 12411.6 12417.55 -5.950188 35.40474 Solution 1 1 Solution is obtained by using the solver to minimize Sum(Err^2)-60-40-20 20 40 60 4000 8000 12000 Nonlinear Regression Results for Antoine Equations PV Pvcalc Temperature (C) Pressure (mmHg) 2000 4000 6000 8000 10000 12000 14000-20-15-10-5 5 10 15 20 25 30 Residual Plot of the Antoine Equation for Propane Err Vapor Pressure (mmHg) Residual...
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## This note was uploaded on 01/02/2012 for the course CHE 218 taught by Professor Engr.agapay during the Spring '11 term at Mapúa Institute of Technology.

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