Where Ci is the initial TC concentration, Ct is the TC concentration at time t, k is the pseudo first order reaction rate t is constant (min−1) and the reaction time (min). To study the TC degradation by US/S2O82− process, the data obtained was investigated using the pseudo first order kinetics. The effect of different parameters such as initial TC concentration, initial PS concentration, pH and temperature on the kinetic of TC degradation was evaluated. In all the experiments, TC degradation well-fitted to the using the pseudo first order kinetics with higher correlation coefficients (R2). The values of kinetic rate constants (k) related to the different parameters, with their regression coefficients R2 are shown in Table 7.
Table 7 Effect of operation parameters on the kinetics degradation of TC
parameter Value  k 0 (min−1) × 10−2 R2 t 1/2 (min)
TC concentration (mg/L) 25 2.29 0.9973 30.2
50 1.75 0.9952 39.6
75 1.23 0.9956 56.3
PS concentration (mM) 2 1.15 0.9816 60.6
3 1.52 0.9946 45.9
4 2.29 0.9973 30.2
pH 5 1.62 0.9937 42.7
7.5 1.12 0.9942 62.8
10 2.29 0.9973 30.2
Temperature (°C) 25 2.29 0.9973 30.2
45 5.70 0.9127 12.1
55 7.87 0.921 8.8
65 10.42 0.9824 6.6