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Lynne Wong's PhD thesis

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Table 5.23. Parameters of the sorption isotherm models, coefficient of determination R 2 , mean relative deviation modulus P,<br />

and standard errors of the estimate E s for isotherms of top fibre aged 52 and 36 weeks at 30, 45, 55 and 60 o C.<br />

Top fibre<br />

Model Parameter 52 weeks 36 weeks<br />

30 o C 45 o C 55 o C 60 o C 30 o C 45 o C 55 o C 60 o C<br />

GAB mo 5.60 4.44 3.24 3.44 5.51 4.55 3.24 2.94<br />

b 29.86 11.49 14.64 16.26 13.10 9.561 14.64 22.14<br />

c 0.8238 0.8774 0.9298 0.9309 0.8217 0.8783 0.9298 0.9302<br />

R 2 0.9840 0.9900 0.8979 0.9262 0.9797 0.9397 0.8979 0.9361<br />

P 6.571 5.944 18.51 10.99 6.556 12.00 13.78 15.54<br />

Es 1.508 1.427 6.411 5.219 1.676 3.596 5.706 4.090<br />

Hailwood Horrobin b 0.008 0.007 -0.011 0.008 0.014 0.005 -0.007 -0.017<br />

c 0.164 0.228 0.342 0.284 0.161 0.233 0.345 0.396<br />

d -0.140 -0.207 -0.310 -0.272 -0.143 -0.211 -0.317 -0.356<br />

R 2 0.984 0.991 0.871 0.926 0.980 0.941 0.898 0.936<br />

P 6.658 7.678 16.61 10.74 6.208 13.32 13.25 14.13<br />

Es 1.514 1.362 6.377 5.214 1.736 3.535 5.676 4.012<br />

Henderson b 0.01278 0.03459 0.04999 0.07052 0.01916 0.03405 0.05952 0.05529<br />

c 1.725 1.401 1.272 1.143 1.611 1.396 1.221 1.274<br />

R 2 0.9588 0.9824 0.9514 0.9494 0.9825 0.9739 0.9529 0.9550<br />

P 9.959 8.522 14.50 17.15 7.384 10.27 15.29 14.03<br />

Es 1.642 1.935 6.544 5.719 1.423 3.347 6.083 4.913<br />

Bradley b 4.118 2.520 1.811 1.564 3.716 2.491 1.690 1.766<br />

c 0.8337 0.8553 0.8777 0.8899 0.8317 0.8592 0.8796 0.8688<br />

R 2 0.9843 0.9854 0.8546 0.9068 0.9859 0.9451 0.8773 0.9099<br />

P 9.774 12.23 26.45 28.12 7.306 15.22 28.56 26.16<br />

Es 1.336 1.484 6.028 5.241 1.248 3.030 5.561 4.265<br />

Caurie I b 0.1309 0.1576 0.1721 0.1884 0.1410 0.1562 0.1815 0.1793<br />

mo 0.8293 0.8263 0.8200 0.8084 0.8422 0.8176 0.8279 0.8541<br />

R 2 0.9630 0.9810 0.9714 0.9750 0.9687 0.9692 0.9783 0.9887<br />

P 9.682 8.656 11.10 12.32 10.46 10.89 9.873 6.142<br />

Es 2.180 1.619 5.010 4.215 2.251 2.708 4.455 2.911<br />

Smith b -6.359 -7.402 -8.891 -9.927 -6.269 -7.628 -9.049 -8.239<br />

c 4.879 2.561 0.520 -0.6243 4.265 2.560 -0.0208 0.3250<br />

R 2 0.9799 0.9941 0.8734 0.9262 0.9798 0.9538 0.8974 0.9317<br />

P 8.223 6.175 17.63 16.87 9.233 10.99 17.89 16.51<br />

Es 1.511 0.9422 5.627 4.663 1.493 2.778 5.085 3.715<br />

Oswin b 10.004 8.355 6.957 6.981 9.314 8.384 6.638 6.347<br />

c 0.281 0.346 0.428 0.446 0.292 0.354 0.441 0.430<br />

R 2 0.970 0.992 0.900 0.941 0.972 0.962 0.921 0.958<br />

P 12.09 8.867 10.72 12.41 12.90 12.08 9.742 6.382<br />

Es 1.849 1.092 4.998 4.177 1.748 2.532 4.452 2.895<br />

Halsey b 2.705 2.262 2.054 1.850 2.563 2.260 1.964 2.053<br />

c 250.1 63.19 35.22 20.54 145.8 65.81 26.01 29.73<br />

R 2 0.9411 0.9534 0.9550 0.9636 0.9366 0.9401 0.9648 0.9785<br />

P 13.44 14.31 15.76 15.39 15.44 14.57 14.61 9.986<br />

Es 2.909 2.472 5.026 4.627 2.977 3.180 4.552 2.949<br />

Caurie II b 1.225 0.8475 0.6543 0.4202 1.067 0.8597 0.5358 0.5839<br />

c 2.079 2.492 2.733 3.056 2.217 2.504 2.851 2.717<br />

R 2 0.9673 0.9545 0.9239 0.9327 0.9826 0.9486 0.9282 0.9221<br />

P 9.744 13.99 16.58 18.88 7.016 13.12 17.26 18.02<br />

Es 2.261 3.535 7.973 7.416 2.247 4.691 7.598 6.538<br />

Modified GAB b 5.639 4.161 3.202 3.347 5.415 4.146 3.068 2.870<br />

c 0.822 0.885 0.930 0.933 0.825 0.890 0.934 0.933<br />

d 786.808 1767.520 200000000 2359.258 468.075 2573.757 300000000 700000000<br />

R 2 0.984 0.991 0.871 0.926 0.980 0.941 0.898 0.935<br />

P 6.709 7.702 14.775 10.720 6.218 13.414 12.203 12.708<br />

Es 1.508 1.340 6.357 5.214 1.673 3.527 5.671 4.035<br />

Kuhn b -0.4199 -0.4952 -0.6169 -0.6673 -0.4168 -0.5218 -0.6240 -0.5621<br />

c 10.05 8.499 7.244 7.188 9.316 8.504 6.884 6.678<br />

R 2 0.8276 0.9017 0.8925 0.9091 0.8392 0.9045 0.9058 0.9418<br />

P 30.79 32.89 35.09 39.23 33.18 34.38 34.82 29.20<br />

Es 4.427 3.854 5.185 5.177 4.215 3.997 4.872 3.429<br />

Iglesias - Chirife b 0.420 0.496 0.618 0.668 0.417 0.522 0.625 0.563<br />

c 10.233 8.719 7.517 7.484 9.501 8.735 7.160 6.927<br />

R 2 0.826 0.901 0.892 0.908 0.838 0.904 0.905 0.941<br />

P 30.89 33.09 35.35 39.49 33.32 34.58 35.09 29.41<br />

Es 4.444 3.873 5.198 5.194 4.232 4.016 4.887 3.446<br />

Mizrahi b -10.23 -8.719 -7.517 -7.484 -9.501 -8.735 -7.160 -6.927<br />

c -9.813 -8.224 -6.900 -6.816 -9.084 -8.213 -6.536 -6.364<br />

R 2 0.826 0.901 0.892 0.908 0.838 0.904 0.905 0.941<br />

P 30.85 33.09 35.35 39.49 33.32 34.58 35.10 29.41<br />

Es 4.445 3.873 5.198 5.194 4.232 4.016 4.887 3.446<br />

Modified BET mo 2.695 2.799 3.106 3.298 2.601 2.894 3.096 2.841<br />

b 40000000 50000000 30000000 20000000 20000000 100000000 30000000 60000000<br />

R 2 0.516 0.786 0.857 0.895 0.578 0.797 0.882 0.909<br />

P 41.15 32.25 28.72 20.94 39.30 32.10 25.12 25.91<br />

Es 7.415 5.688 5.973 5.569 6.830 5.833 5.457 4.292<br />

Note: m o, b, c and d are constants.<br />

216

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