In the following reaction sequence, major products X and Y are acyclic monomers.
\(\text{CH}_3\text{I} \xrightarrow{\text{1. KCN}}{\text{2. H}_3\text{O}^+, \Delta}{\text{3. Red P, Br}_2}{\text{4. NH}_3\text{ (excess) \text{X} \)
\(\text{Caprolactam} \xrightarrow{\text{H}_3\text{O}^+, \Delta} \text{Y} \)
500 mol of X completely reacts with 500 mol of Y to give 1 mol of a single biodegradable acyclic copolymer Z as the only product. The amount of Z formed in grams is _______.
Given: Atomic mass (in amu): H : 1, C : 12, N : 14, O : 16, Br : 80}