Question #44962

A synthetic non-reducing disaccharide $\mathbf{X}$ is synthesized by linking the anomeric carbon of D-galactofuranose to the anomeric carbon of D-glucopyranose via an $\alpha(1\leftrightarrow 1)\alpha$ glycosidic bond.

\textbf{Experiment 1:} $1\text{ mol}$ of $\mathbf{X}$ is treated with an excess of periodic acid (\ce{HIO4}) in aqueous solution at $298\text{ K}$. \textbf{Experiment 2:} $1\text{ mol}$ of $\mathbf{X}$ is subjected to mild acid hydrolysis ($0.01\text{ M HCl}$, $298\text{ K}$) until equilibrium is reached. The resulting solution is neutralized and then heated with an excess of Fehling's solution.

Let $P$ be the moles of \ce{HIO4} consumed in Experiment 1. Let $Q$ be the moles of formic acid (\ce{HCOOH}) produced in Experiment 1. Let $R$ be the moles of formaldehyde (\ce{HCHO}) produced in Experiment 1. Let $S$ be the moles of \ce{Cu2O} precipitated in Experiment 2.

Determine the values of $P, Q, R,$ and $S$.