When the reaction in Exercise 21C.1(a) occurs in a dioxane/ water mixture which is 30 per cent dioxane by mass, the rate constant fits k_r=(7.78×10¹⁴)e^−(9134K)/T dm³ mol⁻¹ s⁻¹ near 30 °C. Calculate Δ^‡G for the reaction at 30 °C.

Data in Exercise 21C.1(a)

The reaction of propylxanthate ion in acetic acid buffer solutions has the mechanism A⁻ + H⁺→P. Near 30 °C the rate constant is given by the empirical expression k_r=(2.05×10¹³) e^−(8681K)/T dm³ mol⁻¹ s⁻¹. Evaluate the energy and entropy of activation at 30 °C.