Table 4 Reaction kinetic equations of several different orders
Orders | Kinetic equations | Units | Half-life t1/2 | |
|---|---|---|---|---|
Differential form | Integral form | |||
0 | \(-\frac{dC}{dt}={k}_{0}\) | \({C}_{0}-C={k}_{0}t\) | mol*m−3*s−1 | \(\frac{{C}_{0}}{2{k}_{0}}\) |
1 | \(-\frac{dC}{dt}={k}_{1}C\) | \(ln\frac{{C}_{0}}{C}={k}_{1}t\) | s−1 | \(\frac{0.693}{{k}_{1}}\) |
2 | \(-\frac{dC}{dt}={k}_{2}{C}^{2}\) | \(\frac{1}{C}-\frac{1}{{C}_{0}}={k}_{2}t\) | (mol*s)−1 | \(\frac{1}{{k}_{2}{C}_{0}}\) |