The hydrolysis of sucrose is a part of the digestive process. Suppose you want to investigate how strongly the rate depends on body temperature and decide to calculate the rate constant for the hydrolysis of sucrose at 35.0 °C, given that k_r = 1.0 mL · mol^–1 · s^–1 at 37.0 °C (normal body temperature) and that the activation energy of the reaction is 108 kJ · mol^–1. What is the rate constant for the hydrolysis of sucrose at 35.0 °C?

ANTICIPATE You should expect a smaller rate constant at the lower temperature.

PLAN Use Eq. 2 with T₁ = 310.0 K and T₂ = 308.0 K and express R in kilojoules per kelvin per mole (to cancel the units of E_a).