An elementary, non-reversible, gas-phase reaction A+B+C is taking place in an isothermal (no temperature change) and isobaric (no pressure change) plug flow reactor (PFR): Fra VO FT, VO Reactants CAO Products , The concentrations of A and B entering the reactor are Cro = 0.2 mol/dm and Cao = 0.8 mol/dm?, respectively. (a) (5 points) Write down the rate law of A disappearing (ra) in terms of the rate constant, k, and the concentrations of A and B (i.e., CA and Ce). (b) (20 points) If the conversion of A exiting the reactor is X, write down the concentrations of A, B, and C exiting the reactor (i.e., CA, Cs, and Cc) only in terms of X. If X is 50%, what are the values of CA, CB, and Cc? (c) (10 points) If X is 50% and the reaction rate is measured to be 2 mol/(dm -min), what is the value and units of the rate constant, k