Table A3.
The kinetic reaction orders considered for the thermal anthocyanin degradation reaction. The three possible orders were evaluated by comparing the R2 values obtained at different temperatures.
| MAE 1° | |||
|---|---|---|---|
| Reaction Order Zero [M] vs. time |
First-Order Reaction ln[M] vs. time |
Second-Order Reaction 1/[M] vs. time |
|
| 45 °C | y = −0.00001x + 0.1417 R2 = 0.9345 |
y = −0.0002x − 1.8975 R2 = 0.9963 |
y = 0.0022x + 5.3264 R2 = 0.9634 |
| 60 °C | y = −0.000077x + 0.181890 R2 = 0.9765 |
y = −0.0006x − 1.673 R2 = 0.9934 |
y = 0.0054x + 4.9881 R2 = 0.9856 |
| 80 °C | y = −0.000293x + 0.172064 R2 = 0.9373 |
y = −0.0029x − 1.7104 R2 = 0.9562 |
y = 0.033171x + 4.749454 R2 = 0.9300 |
| 100 °C | y = −0.000700x + 0.154423 R2 = 0.8392 |
y = −0.012738x − 1.712313 R2 = 0.9854 |
y = 0.482027x − 5.405676 R2 = 0.8582 |
| Contr. | |||
|
Reaction Order Zero
[M] vs. time |
First-Order Reaction
ln[M] vs. time |
Second-Order Reaction
1/[M] vs. time |
|
| 45 °C | y = −0.000015x + 0.169502 R2 = 0.9367 |
y = −0.000169x − 1.702361 R2 = 0.9967 |
y = 0.00234x + 3.82670 R2 = 0.9271 |
| 60 °C | y = −0.0001x + 0.2279 R2 = 0.9622 |
y = −0.000856x − 1.425694 R2 = 0.9933 |
y = 0.00696x + 3.57196 R2 = 0.9748 |
| 80 °C | y = −0.0004x + 0.2052 R2 = 0.9015 |
y = −0.004018x − 1.510549 R2 = 0.9765 |
y = 0.04891x + 3.03949 R2 = 0.9749 |
| 100 °C | y = −0.0009x + 0.1986 R2 = 0.8397 |
y = −0.012895x − 1.469994 R2 = 0.9964 |
y = 0.36898x − 3.73888 R2 = 0.8827 |
| Conv. | |||
|
Reaction Order Zero
[M] vs. time |
First-Order Reaction
ln[M] vs. time |
Second-Order Reaction
1/[M] vs. time |
|
| 45 °C | y = −0.000007x + 0.100726 R2 = 0.9234 |
y = −0.000111x − 2.266225 R2 = 0.9819 |
y = 0.00185x + 8.88767 R2 = 0.9838 |
| 60 °C | y = −0.000046x + 0.114338 R2 = 0.9052 |
y = −0.000565x − 2.150258 R2 = 0.9466 |
y = 0.00719x + 8.27849 R2 = 0.9696 |
| 80 °C | y = −0.0002x + 0.1039 R2 = 0.8765 |
y = −0.003116x − 2.226536 R2 = 0.9540 |
y = 0.05973x + 8.00636 R2 = 0.9841 |
| 100 °C | y = −0.0005x + 0.0977 R2 = 0.7721 |
y = −0.012295x − 2.228502 R2 = 0.9842 |
y = 0.61166x − 2.37868 R2 = 0.9304 |
| Form. 1° + 2° | |||
|
Reaction Order Zero
[M] vs. time |
First-Order Reaction
ln[M] vs. time |
Second-Order Reaction
1/[M] vs. time |
|
| 45 °C | y = −0.000008x + 0.094515 R2 = 0.9381 |
y = −0.000157x − 2.298634 R2 = 0.9932 |
y = 0.00356x + 7.78990 R2 = 0.9641 |
| 60 °C | y = −0.000056x + 0.115428 R2 = 0.9778 |
y = −0.000775x − 2.111502 R2 = 0.9949 |
y = 0.01180x + 7.30491 R2 = 0.9705 |
| 80 °C | y = −0.0002x + 0.1072 R2 = 0.9255 |
y = −0.003301x − 2.167922 R2 = 0.9880 |
y = 0.06732x + 6.55359 R2 = 0.9431 |
| 100 °C | y = −0.0005x + 0.0996 R2 = 0.7707 |
y = −0.010892x − 2.262965 R2 = 0.9227 |
y = 0.39325x + 5.05235 R2 = 0.9807 |