A long-chain alkane, eicosane (C20H42\text{C}_{20}\text{H}_{42}C20H42), is catalytically cracked to produce one molecule of nonane (C9H20\text{C}_9\text{H}_{20}C9H20), two molecules of a compound YYY, and one molecule of compound ZZZ. Compound Y Y\,Y is an alkene containing three carbon atoms.
State the molecular formula of compound YYY.
Deduce the molecular formula of compound ZZZ.
State two conditions required for industrial catalytic cracking.