A refinery investigates one cracking reaction. One molecule of C15H32\text{C}_{15}\text{H}_{32}C15H32 splits to form one molecule of C9H20\text{C}_{9}\text{H}_{20}C9H20 and one molecule of product X.
C15H32→C9H20+X\text{C}_{15}\text{H}_{32} \rightarrow \text{C}_{9}\text{H}_{20} + \text{X}C15H32→C9H20+X
Product X is then shaken with bromine water.
Calculate the molecular formula of product X.
Explain what happens when product X is shaken with bromine water.