Analysis show that nickel oxide consists of nickel ion with `96%` ions having `d^(8)` configuration and `4%` having `d^(7)` configuration. Which amongst the following best represents the formula of the oxide?

Options

A. `Ni_(0.98)O_(0.98)`
B. `Ni_(1.02)O_(1.02)`
C. `Ni_(1.02)O_(1.00)`
D. `Ni_(0.98)O_(1.00)`

Answer

D

Explanation

E.C of `Ni^(2+)=3d^8 " and " Ni^(3+) = 3d^7`
Hence, 96% ions of `Ni^(2+)` and 4% ions of `Ni^(3+) are present . Let numbers of `O^(2-) ion present in the crystal = x
Applying electroneutrality rule,
Total positive charge = Total negative charge
`96xx2+4xx3=xxx2`
`therefore 96xx2+4xx3-2x=0 rArr x=1.02`
So, formula of crystal `Ni_(100)O_(1.02) " or " Ni_(0.98)O_(1.00)`