Chapter 7: Collection and Analysis of Rate Data
| Mole Balance | First Order | Second Order | |
|---|---|---|---|
| Rate Law | \( -r_A = k C_A \) | \( -r_A = k C_A^2 \) | |
| First order | Second order | ||
| Stoichiometry (V = V₀) | \( C_A = \frac{N_A}{V} = \frac{N_A}{V_o} \) | ||
| Combine | \( \frac{d(N_A / V_o)}{dt} = \frac{dC_A}{dt} = -k C_A \) | \( \frac{d(N_A / V_o)}{dt} = \frac{dC_A}{dt} = -k C_A^2 \) | |
| Integrate | \( t = \frac{1}{k} \ln{\left( \frac{C_{A0}}{C_A} \right)} \) |