Paragraph I: An organic compound ( P ) with molecular formula ( C _...

Paragraph I: An organic compound ($\mathrm{P}$) with molecular formula (\mathrm{C}}_{5} \mathrm{H}_{18} \mathrm{O}}_{2}) decolorizes bromine water and also shows positive iodoform test. ($\mathrm{P}$) on ozonolysis followed by treatment with (\mathrm{H}}_{2} \mathrm{O}}_{2}) gives ($\mathrm{Q}$) and ($\mathrm{R}$). While compound ($\mathrm{Q}$) shows positive iodoform test, compound ($\mathrm{R}$) does not give positive iodoform test. ($\mathrm{Q}$) and ($\mathrm{R}$) on oxidation with pyridinium chlorochromate (PCC) followed by heating give ($\mathrm{S}$) and ($\mathrm{T}$), respectively. Both ($\mathrm{S}$) and ($\mathrm{T}$) show positive iodoform test. Complete copolymerization of 500 moles of ($\mathrm{Q}$) and 500 moles of ($\mathrm{R}$) gives one mole of a single acyclic copolymer ($\mathrm{U}$). [Given, atomic mass: ($\mathrm{H}=$1, $\mathrm{C}=$12, $\mathrm{O}=$16)] Question: The molecular weight of $\mathbf{U}$ is