(3) (20 pts) Write down the rate law for each of the following elementary reactions, expressed in terms of rate constant, ka, the concentrations of the species involved, and the equilibrium constant of the reaction, Kc (for reversible reactions): (a) (5 pts) 2 A + B-C (b) (5 pts) AEB (c) (5 pts) A B + 2C (d) (5 pts) A+B=2C (4) (20 pts) Consider that an irreversible, elementary reaction: A+B-C is carried out in a semi-batch reactor. A and B are liquid reactants initially present in the reactor tank, with concentrations of Cao and Co, and C is a gas-phase product that is gradually removed from the reactor with a flow rate of wdm/s. The initial volume of A and B combined in the reactor is Vo dm?, and the rate constant for the reaction is ka dm /mol-s. Write down the rate law of the reaction and the three ordinary differential equations describing the time-evolution of the concentrations of each species A, Band C as a function of time. (5) (25 pts) For a given reaction: AB the measurements of the rate constants, k, as a function of temperature are tabulated as: Temperature (K) 300 350 500 600 k (dm /mol. :) 1.63x10 161*10 9.94x102 2.3810 4.94x10 (a) Based on the units of the rate constant (i.c., dm /mol-s), what is the reaction order of the reaction? Please write down the rate law in terms of rate of consumption of A (-ra), the rate constant (k), and the concentration of A (CA). (b) Obtain the Arrhenius parameters (A, and E) from graphing the Arrhenius plot of the reaction. 400 8.96X10 450 3.4110 550