A complex chemical mechanism generates an overall effective rate constant mathematically modeled as — Chemical Kinetics Chemistry Question

💡 Solution & Explanation

Because $k_i = A_i e^{-E_{ai}/RT}$, complex operations on $k$ map uniquely to simple addition/subtraction in the exponent. Multiplication becomes addition, division becomes subtraction, and roots become fractional multipliers. Thus, $k_1 \cdot (k_2)^{1/2} \cdot (k_3)^{-1/2}$ rigorously translates to $E_{a1} + 0.5 E_{a2} - 0.5 E_{a3}$.