Consider the mechanism for hydrogen and chlorine: Cl2 + M CI + CI + M, (R1) CI + H2 HCI + H, (R2) H+ Cl2 HCI + Cl, (R3) Cl+ Cl + M Cl2 + M. (R4) (a) With appropriate steady-state assumptions, show that d[HCI] = 2k ka [Cl2 [H2]. dt (b) If NCl3 is added to the mixture as an inhibitor, the following reaction needs to be considered: NCI3 + Cl NC2 + Cl2. (R5) What is the rate expression in the limit of fast and slow rates of this reaction?