What is the percent by mass of titanium in rutile, a mineral that contain Titanium and oxygen, if structure can be described as a closet packed array of oxide ions, with titanium in one half of the octahedral holes. What is the oxidation number of titanium ?

Explanation

If no. of oxide ions =n, then octahedral holes =n and hence `O^(2-)` ions `=n/2`
`therefore Ti:O =n/2 :n=1/2:1=1:2` Hence, formula of the oxide is `TiO_2`. Molar mass of `TiO_2`=48+32 =`80 g mol^(-1)`
`therefore` % of Ti=`48/80xx100`=60% . Oxidation state of Ti in `TiO_2`=+4