Table 3. Kinetic and thermodynamic parameters of the degradation of TP in free form and in complex with β-CD.
| Temp. [K] | TP | TP-β-CD inclusion complex | to | ||
|---|---|---|---|---|---|
| (k ±Δk) [s-1] | Thermodynamic parameters (mean ± SD) |
(k ±Δk) [s-1] | Thermodynamic parameters (mean ± SD) |
||
| RH ~ 76% | |||||
| 303 313 323 333 |
(3.94 ± 0.52) × 10−6 (4.80 ± 0.40) × 10−6 (5.38 ± 0.38) × 10−6 (6.12 ± 0.42) × 10−6 |
Ea = 12.07 ± 3.80 (kJ mol-1) ΔH≠a = 9.59 ± 6.28 (kJ mol-) ΔS≠a = -244.91 ± 209.78 (J K-1 mol-1) |
(3.69 ± 0.52) × 10−6 (4.22 ± 0.45) × 10−6 (4.67 ± 0.39) × 10−6 (5.22 ± 0.36) × 10−6 |
Ea = 9.59 ± 1.18 (kJ mol-) ΔH≠a = 7.11 ± 3.66 (kJ mol-) ΔS≠a = -244.92 ± 231.91 (J K-1 mol-1) |
1.72 2.34 3.14 3.96 |
| RH = 0% | |||||
| 333 343 353 363 |
(7.64 ± 0.02) × 10−6 (8.39 ± 0.01) × 10−6 (9.42 ± 0.02) × 10−6 (1.09 ± 0.02) × 10−5 |
Ea = 11.84 ± 4.51 (kJ mol-) ΔH≠a = 9.36 ± 6.98 (kJ mol-) ΔS≠a = -244.91 ± 205.34 (J K-1 mol-1) |
(6.80 ± 0.03) × 10−6 (7.32 ± 0.02) × 10−6 (7.98 ± 0.02) × 10−6 (8.85 ± 0.02) × 10−6 |
Ea = 8.79 ± 2.73 (kJ mol-) ΔH≠a = 6.31 ± 5.21 (kJ mol-) ΔS≠a = -244.92 ± 223.55 (J K-1 mol-1) |
2.35 3.67 5.02 6.62 |
Δk = Sa tαf Ea, activation energy; ΔH≠, enthalpy; ΔS≠, entropy; Ea = -aR; ΔH≠ = Ea -TR; ΔS≠ = R(ln A ln(kbT)/h where: kB, Boltzmann’s constant (1.3807 10−23 JK-1); h, Planck’s constant (6.626 10-34Js); R, universal gas constant (8.314 K-1mol-1), T, temperature in K; a, vectorial coefficient of the Arrhenius; A, frequency coefficient a calculated for 298 K; t0, parameter of parallelism test, establishing significance of a coefficient of ln(ci) = f(t) plots.