The Van't Hoff differential method utilizes the initial instantaneous rates ( and ) at two different — Chemical Kinetics Chemistry Question

💡 Solution & Explanation

Applying logarithms to the rate law $r = k c^n$ yields $\log r = \log k + n \log c$. Setting this up for two separate states and subtracting them perfectly eliminates the constant $\log k$, resulting in $\log r_1 - \log r_2 = n(\log c_1 - \log c_2)$. This isolates to $n = \frac{\log(r_1/r_2)}{\log(c_1/c_2)}$.