Question #44278

Consider two isoelectronic and isostructural mononuclear oxyanions, $\ce{X^{m-}}$ and $\ce{Y^{n-}}$ ($m < n$), of period 3 elements. Both anions contain exactly 26 valence electrons. In an aqueous acidic medium at $350\text{ K}$, the corresponding fully protonated oxyacid of $\ce{X^{m-}}$ undergoes auto-redox disproportionation to yield a highly reactive paramagnetic gas $Z$ and a strong acid $W$. Under similar conditions, the fully protonated oxyacid of $\ce{Y^{n-}}$ decomposes to yield a diamagnetic gas $V$ without undergoing disproportionation.

Let: $p =$ Oxidation state of the central atom in $W$. $q =$ Number of unpaired electrons in a single molecule of $Z$. $r =$ Number of lone pairs on the central atom of $V$. $s =$ Total number of $d\pi-p\pi$ bonds in the anion of $W$. $u =$ Oxidation state of the central atom in $V$.

Calculate the value of the expression: $(p - u) \times s + q + r$.