The industrial production of hydrazine (N₂H₄) by the Raschig process is the topic of the Focus On feature for Chapter 4 on www.masteringchemistry.com. The following chemical equation represents the overall process, which actually involves three consecutive reactions.

2 NH₃(aq) + Cl₂(g) + 2 NaOH(aq) → N₂H₄(aq) + 2 NaCl(aq) + 2 H₂O(l)

(a) Use the definition of percent atom economy (AE) from exercise 130 to calculate, to the nearest percent, the percent AE for the Raschig process.

(b) Propose a reaction for the synthesis of N₂H₄ that has percent AE of 100%.