Chapter 12 Kinetics
Chapter 12 Key Equations
| Relative rate of reaction for a A → b B [latex]= - \frac {1}{a} \, \frac {\Delta [A]}{\Delta t} = \frac {1}{b} \, \frac {\Delta [B]}{\Delta t}[/latex] |
| Integrated rate law for zero-order reactions: [latex][A]_t = -kt + [A]_o[/latex] |
| Half-life for a zero-order reaction: [latex]t_{1/2} = \frac {[A]_o}{2k}[/latex] |
| Integrated rate law for first-order reactions: [latex]\ln {[A]_t} = -kt + \ln {[A]_o}[/latex] |
| Half-life for first-order reactions: [latex]t_{1/2} = \frac {0.693}{k}[/latex] |
| Integrated rate law for second-order reactions: [latex]\frac {1}{[A]_t} = kt + \frac {1}{[A]_o}[/latex] |
| Half-life for a second-order reaction: [latex]t_{1/2} = \frac {1}{[A]_ok}[/latex] |
| [latex]k = A e^{- \frac {E_a}{RT}}[/latex] |
| [latex]\ln k = - \frac {E_a}{R} \, \frac {1}{T} + \ln A[/latex] |
| [latex]\ln \frac {k_1}{k_2} = \frac {E_a}{R} \left( \frac {1}{T_2} - \frac {1}{T_1} \right)[/latex] |