JEE Advanced · 2024 · 26 May 2024 · Paper 2 · Polymers

An organic compound P with molecular formula ${\mathrm{C}}_9{\mathrm{H}}_{18}{\mathrm{O}}_2$ decolorizes bromine water and also shows positive iodoform test. P on ozonolysis followed by treatment with ${\mathrm{H}}_2{\mathrm{O}}_2$ gives Q and R. While compound Q shows positive iodoform test, compound $\mathbf{R}$ does not give positive iodoform test. $\mathbf{Q}$ and $\mathbf{R}$ on oxidation with pyridinium chlorochromate (PCC) followed by heating give S and T, respectively. Both S and T show positive iodoform test.

Complete copolymerization of 500 moles of $\mathbf{Q}$ and 500 moles of $\mathbf{R}$ gives one mole of a single acyclic copolymer $\mathbf{U}$.
[Given, atomic mass : $\mathrm{H}=1,\mathrm{C}=12,\mathrm{O}=16$ ]

The molecular weight of U is ____.