Part II Numerical Problems (75 Points) 1. (35 points) An irreversible, elementary liquid reaction 2A B is carried out in a batch reactor. The initial concentration of Ais C40 =10 mol/dm. (a) (10 points) Write down the rate expression for the disappearance of A (-ra) in terms of rate constant (ka) and the concentrations of species A and/or B (CA and/or C8). Express the units for ka in terms of mol, dm, and h. (b) (15 points) What is the reaction time of the batch reactor to achieve a conversion of 50% for the reactant A?Assume that ka has a value of 0.05 (in the units you determined above). (c) (10 points) If the reaction time from question (b) is doubled, what will be the final conversion of A