The reaction C₂H₅I + OH^- → C₂H₅OH + I^- was studied in an ethanol (C₂H₅OH) solution, and the following rate constants were obtained: 15.83 °C, k = 5.03 x 10^-5; 32.02 °C, 3.68 x 10^-4; 59.75 °C, 6.71 x 10^-3; 90.61 °C, 0.119 M^-1 s^-1.

(a) Determine E_a for this reaction by a graphical method.

(b) Determine E_a by the use of equation (20.22).

(c) Calculate the value of the rate constant k at 100.0 °C.

Eq. 20.22

k In = - k Ea F2 (17) - RT2 T (20.22)