Question #45032

An aqueous solution of potassium dichromate (\ce{K2Cr2O7}) is divided into two equal aliquots, Part I and Part II. Part I is acidified with dilute \ce{H2SO4} and treated with aqueous \ce{H2O2} in the presence of amyl alcohol, yielding a blue-colored complex \textbf{X} in the organic layer. Part II is made strongly alkaline with \ce{NaOH} and treated with excess aqueous \ce{H2O2}, yielding a red-brown complex \textbf{Y}. Let $O_X$ and $O_Y$ be the oxidation states of Chromium in complexes \textbf{X} and \textbf{Y}, respectively. Let $P_X$ and $P_Y$ be the number of peroxo linkages (\ce{O-O} bonds) in a single molecule/ion of complexes \textbf{X} and \textbf{Y}, respectively. Let $U_X$ and $U_Y$ be the number of unpaired electrons on the Chromium atom in complexes \textbf{X} and \textbf{Y}, respectively. Calculate the value of the expression: $(O_X \times P_Y) + (O_Y \times P_X) + U_X + U_Y$.