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Problem 1. Reaction kinetics (15 points) For a reaction that goes to completion such as A → B, the following concentration of A as a function of time at T = 25°C was measured as shown in this table: Time (s) 0 100 200 300 400 500 600 700 800 [A] (mol/cm3) 0.02100 0.015326 0.011184 0.008162 0.005957 0.004347 0.003173 0.002315 0.00169 0.001233 0.0009 0.000657 0.000479 0.00035 0.000255 900 1000 1100 1200 1300 1400
1500 0.000186 a. Plot the concentration [A] as a function of time. b. What is the order of this reaction and why? (Give the general expression for the concentration of A as function of time) c. Write the rate law associated with this reaction. d. What is the initial concentration of A, [A]. ? e. What is the rate constant, k1, of this reaction at 25 °C? f. Knowing that the rate constant, k2, of this reaction at 40 °C is 5.26 x 10-2 5-1, calculate the activation energy, Q, and the pre-exponential term, ko, of the Arrhenius equation for this reaction. g. Qualitatively explain what would happen to the activation energy and the reaction rate in the presence of a catalyst.