2.6*. The reversible set of reactions represented by A2B2C k kz k2 ke is carried out in a batch reactor under conditions of constant volume and temperature. Only one mole of A is present initially, and any time t the moles are NA, NB, Nc. The net rate of disappearance of A is given by NA -k Na + k2NB dt and for B, it is dNB dt = -(k2 + k3)NB + kNA + k4Nc and for all times, the stoichiometry must be obeyed NA +NB +Nc = 1 (a) Show that the behavior of Nat) is described by the second-order ODE NA NA + (k + k2 + kz + ka) dt2 dt + (kk3 + k2k4 + kka)NA = k2k4