Rutile, a mineral that contains only titanium and oxygen atoms, has structure which can be described — Solid State Chemistry Question
Question
Rutile, a mineral that contains only titanium and oxygen atoms, has structure which can be described as a closest packed array of oxide ions with titanium ions in one-half of the octahedral voids. (Ti = 48)<br>$ab$ = the mass percentage of titanium in rutile.<br>$c$ = magnitude of oxidation state of titanium in rutile.<br>$d = 1$, if the oxidation state of Ti is positive and 2 if the oxidation state of Ti is negative.<br>The value of 'abcd' is
💡 Solution & Explanation
Formula is $\text{Ti}_{1/2}\text{O}_1 \implies \text{TiO}_2$. Molar mass $= 48 + 32 = 80$. Mass % of Ti = $(48/80) \times 100 = 60 \implies ab = 60$. In $\text{TiO}_2$, Ti is in +4 oxidation state, so magnitude $c = 4$. Since it's positive, $d = 1$. The concatenated string 'abcd' is 6041. Therefore, correct answer is 6041.