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Lynne Wong's PhD thesis

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Table 5.21. Parameters of the sorption isotherm models, coefficient of determination R 2 , mean relative deviation modulus P,<br />

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

Rind 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 5.36 5.51 3.70 2.69 4.71 4.56 3.51 3.99<br />

b 13.34 5.232 6.060 10.94 78.44 5.527 12.06 7.411<br />

c 0.7724 0.7923 0.8787 0.9357 0.7948 0.8263 0.8796 0.8453<br />

R 2 0.9949 0.9893 0.9950 0.9496 0.9842 0.9981 0.9797 0.9863<br />

P 2.950 4.778 4.457 14.89 8.356 3.020 16.62 9.635<br />

Es 0.6175 1.040 0.8479 3.542 1.061 0.4506 5.371 1.168<br />

Hailwood Horrobin b 0.018 0.032 0.038 -0.015 0.006 0.038 0.010 0.024<br />

c 0.159 0.144 0.215 0.435 0.200 0.166 0.283 0.227<br />

d -0.134 -0.137 -0.220 -0.397 -0.162 -0.165 -0.259 -0.211<br />

R 2 0.995 0.990 0.995 0.950 0.984 0.998 0.978 0.987<br />

P 3.004 6.671 4.998 13.42 8.683 3.901 6.225 11.26<br />

Es 0.6320 1.015 0.8455 3.460 1.061 0.4467 1.665 1.152<br />

Henderson b 0.01581 0.04070 0.07651 0.07569 0.01094 0.05442 0.05040 0.05858<br />

c 1.792 1.429 1.221 1.193 1.950 1.356 1.380 1.343<br />

R 2 0.9931 0.9930 0.9926 0.9619 0.9072 0.9988 0.9853 0.9878<br />

P 3.869 3.982 5.738 13.17 12.85 2.210 7.366 7.286<br />

Es 0.5073 0.7156 0.8846 4.445 1.381 0.2803 1.828 0.7985<br />

Bradley b 5.356 3.540 2.114 1.623 5.837 2.916 2.421 2.878<br />

c 0.7779 0.8065 0.8345 0.8656 0.7698 0.8083 0.8243 0.8038<br />

R 2 0.9907 0.9953 0.9925 0.9177 0.9686 0.9986 0.9766 0.9936<br />

P 5.061 5.978 11.09 28.21 11.98 2.092 10.64 5.909<br />

Es 0.7412 0.6118 0.9141 3.958 1.324 0.3406 1.529 0.6980<br />

Caurie I b 0.1402 0.1649 0.1976 0.1977 0.1348 0.1800 0.1776 0.1812<br />

mo 0.9398 0.9084 0.9216 0.8854 0.9616 0.9335 0.9269 0.9496<br />

R 2 0.9618 0.9344 0.9742 0.9883 0.9180 0.9549 0.9861 0.9389<br />

P 10.16 16.11 10.42 7.637 13.57 14.64 7.573 16.37<br />

Es 1.907 2.639 2.254 2.437 1.948 2.470 1.611 2.148<br />

Smith b -4.574 -5.316 -6.359 -8.035 -4.408 -5.391 -5.962 -5.232<br />

c 4.635 3.559 1.330 -0.2736 4.747 2.651 1.928 2.585<br />

R 2 0.9732 0.9801 0.9971 0.9404 0.9589 0.9904 0.9844 0.9890<br />

P 10.12 14.71 4.389 20.31 10.32 9.394 3.807 11.91<br />

Es 1.261 1.256 0.567 3.368 1.515 0.8793 1.246 0.9172<br />

Oswin b 8.398 7.940 6.509 5.636 8.364 7.106 6.613 6.823<br />

c 0.253 0.289 0.361 0.450 0.248 0.311 0.349 0.315<br />

R 2 0.966 0.970 0.985 0.969 0.945 0.974 0.983 0.981<br />

P 12.58 19.29 16.76 7.227 12.97 17.83 9.356 16.31<br />

Es 1.422 1.546 1.311 2.435 1.753 1.445 1.319 1.206<br />

Halsey b 2.889 2.411 2.028 1.934 3.035 2.259 2.260 2.304<br />

c 217.2 62.08 20.13 18.40 303.1 35.69 37.39 37.28<br />

R 2 0.9215 0.8830 0.9420 0.9743 0.9030 0.9101 0.9616 0.8928<br />

P 14.69 21.55 16.50 11.77 14.94 20.33 12.90 21.88<br />

Es 2.467 3.196 3.015 2.581 2.430 3.086 2.191 2.654<br />

Caurie II b 1.067 0.7017 0.3174 0.3618 1.152 0.5257 0.5897 0.5016<br />

c 1.993 2.465 2.871 2.899 1.858 2.599 2.531 2.592<br />

R 2 0.9931 0.9827 0.9795 0.9274 0.9332 0.9881 0.9652 0.9638<br />

P 4.091 8.578 11.05 17.61 11.25 7.484 11.16 13.48<br />

Es 0.9692 1.418 2.364 6.175 1.346 1.274 3.019 1.962<br />

Modified GAB b 5.354 5.100 3.548 2.532 4.793 4.349 3.318 3.736<br />

c 0.773 0.806 0.883 0.940 0.791 0.833 0.886 0.855<br />

d 403.533 339.774 467.083 500000000 1410.154 323.645 1825.450 786.362<br />

R 2 0.995 0.990 0.995 0.950 0.984 0.998 0.978 0.987<br />

P 2.9429 6.448 4.9819 11.640 8.637 3.9557 6.087 11.209<br />

Es 0.6180 1.006 0.8315 3.461 1.057 0.4224 1.654 1.131<br />

Kuhn b -0.2939 -0.3392 -0.4093 -0.5481 -0.2816 -0.3450 -0.3911 -0.3296<br />

c 8.473 8.078 6.643 5.922 8.471 7.217 6.794 7.056<br />

R 2 0.7786 0.8084 0.8771 0.9503 0.7583 0.8218 0.8992 0.8529<br />

P 32.38 45.45 45.81 33.05 30.22 45.05 31.94 44.05<br />

Es 3.621 3.892 3.710 3.074 3.673 3.787 3.170 3.359<br />

Iglesias - Chirife b 0.294 0.339 0.410 0.549 0.282 0.345 0.391 0.330<br />

c 8.604 8.230 6.826 6.165 8.596 7.372 6.968 7.204<br />

R 2 0.777 0.807 0.876 0.950 0.757 0.820 0.898 0.852<br />

P 32.51 45.64 46.05 33.33 30.33 45.26 32.11 44.25<br />

Es 3.633 3.906 3.726 3.091 3.684 3.800 3.184 3.371<br />

Mizrahi b -8.604 -8.230 -6.826 -6.165 -8.596 -7.372 -6.968 -7.204<br />

c -8.310 -7.891 -6.416 -5.617 -8.315 -7.027 -6.577 -6.874<br />

R 2 0.777 0.807 0.876 0.950 0.757 0.820 0.898 0.852<br />

P 32.51 45.64 46.05 33.34 30.33 45.26 32.11 44.25<br />

Es 3.633 3.906 3.726 3.091 3.684 3.800 3.184 3.371<br />

Modified BET mo 2.049 2.168 2.269 2.708 2.003 2.096 2.213 2.007<br />

b 30000000 100000000 20000000 30000000 70000000 30000000 50000000 30000000<br />

R 2 0.300 0.530 0.800 0.931 0.239 0.634 0.784 0.657<br />

P 43.98 37.38 28.07 22.20 45.12 34.72 33.18 35.27<br />

Es 6.438 6.094 4.738 3.622 6.516 5.424 4.640 5.132<br />

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

214

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