PARAGRAPH I

An organic compound $P$ with molecular formula $C_9{H}_{18}{O}_2$ decolorizes bromine water and also shows positive iodoform test. $P$ on ozonolysis followed by treatment with $H_2{O}_2$ gives $Q$ and $R$. While compound $Q$ shows positive iodoform test, compound $R$ does not give positive iodoform test. $Q$ and $R$ 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 $Q$ and $500$ moles of $R$ gives one mole of a single acyclic copolymer $U$.

[Given, atomic mass: H = 1, C = 12, O = 16]

Q2. The molecular weight of $U$ is _____.