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Q. Perovskite is mineral containing calcium, oxygen and titanium, in which oxygen atoms are at the face centres, calcium atoms are at the corners and titanium atoms at the centre of the cube. Oxidation number of titanium in the mineral is

The Solid State

Solution:

No. of calcium atoms $= 8 \times \frac{1}{8} = 1$
No. of oxygen atoms $= 6 \times \frac{1}{2} = 3$
No. of titanium atoms $= 1 \times 1 = 1$
$\therefore $ Formula of the mineral $CaTiO_3$
Let $O.N$. of $Ti = x$
$\therefore 2 \times 1 + x + 3(-2) = 0$
$ 2 + x - 6 = 0$
$x = 4$